Delgado, Julio A Poincaré determinant on the torus. (English) Zbl 07535450 J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022). MSC: 47B10 35S05 58J40 22E30 PDF BibTeX XML Cite \textit{J. Delgado}, J. Pseudo-Differ. Oper. Appl. 13, No. 3, Paper No. 29, 13 p. (2022; Zbl 07535450) Full Text: DOI OpenURL
Papanicolaou, Vassilis G. Periodic Jacobi operators with complex coefficients. (English) Zbl 1482.39027 J. Spectr. Theory 11, No. 2, 781-819 (2021). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A70 39A12 47A11 47B39 34K08 PDF BibTeX XML Cite \textit{V. G. Papanicolaou}, J. Spectr. Theory 11, No. 2, 781--819 (2021; Zbl 1482.39027) Full Text: DOI arXiv OpenURL
Zheng, Nannan; Wang, Zaihong Infinitely many periodic solutions of Duffing equations under integral condition. (English) Zbl 07413530 Topol. Methods Nonlinear Anal. 57, No. 1, 297-315 (2021). Reviewer: Eric R. Kaufmann (Little Rock) MSC: 34C25 34B30 37C60 47N20 PDF BibTeX XML Cite \textit{N. Zheng} and \textit{Z. Wang}, Topol. Methods Nonlinear Anal. 57, No. 1, 297--315 (2021; Zbl 07413530) Full Text: DOI OpenURL
Markett, Clemens Symmetric differential operators for Sobolev orthogonal polynomials of Laguerre- and Jacobi-type. (English) Zbl 07405655 Integral Transforms Spec. Funct. 32, No. 5-8, 568-587 (2021). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 34L10 34B30 PDF BibTeX XML Cite \textit{C. Markett}, Integral Transforms Spec. Funct. 32, No. 5--8, 568--587 (2021; Zbl 07405655) Full Text: DOI OpenURL
Yilmazer, Resat; Ali, Karmina Discrete fractional solutions to the \(k\)-hypergeometric differential equation. (English) Zbl 1471.34055 Math. Methods Appl. Sci. 44, No. 9, 7614-7621 (2021). MSC: 34B30 26A33 34A05 PDF BibTeX XML Cite \textit{R. Yilmazer} and \textit{K. Ali}, Math. Methods Appl. Sci. 44, No. 9, 7614--7621 (2021; Zbl 1471.34055) Full Text: DOI OpenURL
Ni, Hua Fixed point theory and the existence of two positive periodic solutions of Riccati’s equation. (English) Zbl 07366762 Math. Appl. 34, No. 2, 385-396 (2021). MSC: 34C25 34B30 34D20 47N20 PDF BibTeX XML Cite \textit{H. Ni}, Math. Appl. 34, No. 2, 385--396 (2021; Zbl 07366762) OpenURL
Chen, Xin; Gander, Martin J.; Xu, Yingxiang Optimized Schwarz methods with elliptical domain decompositions. (English) Zbl 1479.65036 J. Sci. Comput. 86, No. 2, Paper No. 27, 28 p. (2021). Reviewer: Wei Gong (Beijing) MSC: 65N55 65N22 65L10 34B30 33E10 35J05 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Sci. Comput. 86, No. 2, Paper No. 27, 28 p. (2021; Zbl 1479.65036) Full Text: DOI OpenURL
Wang, Chao; Liu, Qihuai; Wang, Zhiguo Periodic bouncing solutions for Hill’s type sub-linear oscillators with obstacles. (English) Zbl 07327280 Commun. Pure Appl. Anal. 20, No. 1, 281-300 (2021). MSC: 34C25 34B30 47N20 PDF BibTeX XML Cite \textit{C. Wang} et al., Commun. Pure Appl. Anal. 20, No. 1, 281--300 (2021; Zbl 07327280) Full Text: DOI OpenURL
Bagderina, Yu. Yu. Eigenfunctions of ordinary differential Euler operators. (English. Russian original) Zbl 07283006 J. Math. Sci., New York 252, No. 2, 125-134 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 3-12 (2018). MSC: 47E05 34L10 34B30 PDF BibTeX XML Cite \textit{Yu. Yu. Bagderina}, J. Math. Sci., New York 252, No. 2, 125--134 (2021; Zbl 07283006); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 152, 3--12 (2018) Full Text: DOI OpenURL
Xin, Yun; Hu, Guixin Weak and strong singularities problems to Liénard equation. (English) Zbl 07509778 Bound. Value Probl. 2020, Paper No. 143, 12 p. (2020). MSC: 34B16 34B30 34C25 37C60 47N20 PDF BibTeX XML Cite \textit{Y. Xin} and \textit{G. Hu}, Bound. Value Probl. 2020, Paper No. 143, 12 p. (2020; Zbl 07509778) Full Text: DOI OpenURL
Devi, Amita; Kumar, Anoop; Abdeljawad, Thabet; Khan, Aziz Existence and stability analysis of solutions for fractional Langevin equation with nonlocal integral and anti-periodic-type boundary conditions. (English) Zbl 07468588 Fractals 28, No. 8, Article ID 2040006, 12 p. (2020). MSC: 34A08 34D10 47N20 34B15 34B10 34B30 PDF BibTeX XML Cite \textit{A. Devi} et al., Fractals 28, No. 8, Article ID 2040006, 12 p. (2020; Zbl 07468588) Full Text: DOI OpenURL
Ozturk, Okkes Solutions in the discrete fractional forms of two differential equations with singular points. (English) Zbl 1471.34054 Acta Math. Appl. Sin., Engl. Ser. 36, No. 4, 975-981 (2020). Reviewer: James Adedayo Oguntuase (Abeokuta) MSC: 34B30 26A33 34A05 PDF BibTeX XML Cite \textit{O. Ozturk}, Acta Math. Appl. Sin., Engl. Ser. 36, No. 4, 975--981 (2020; Zbl 1471.34054) Full Text: DOI OpenURL
Hollands, Lotte; Neitzke, Andrew Exact WKB and abelianization for the \(T_3\) equation. (English) Zbl 1455.81025 Commun. Math. Phys. 380, No. 1, 131-186 (2020). Reviewer: Alex B. Gaina (Chisinau) MSC: 81Q20 81Q10 14D21 14D05 81Q05 34B30 PDF BibTeX XML Cite \textit{L. Hollands} and \textit{A. Neitzke}, Commun. Math. Phys. 380, No. 1, 131--186 (2020; Zbl 1455.81025) Full Text: DOI arXiv OpenURL
Djakov, P. B.; Mityagin, B. S. Spectral triangles of non-selfadjoint Hill and Dirac operators. (English. Russian original) Zbl 07281941 Russ. Math. Surv. 75, No. 4, 587-626 (2020); translation from Usp. Mat. Nauk 75, No. 4, 3-44 (2020). MSC: 47E05 34L40 34L10 PDF BibTeX XML Cite \textit{P. B. Djakov} and \textit{B. S. Mityagin}, Russ. Math. Surv. 75, No. 4, 587--626 (2020; Zbl 07281941); translation from Usp. Mat. Nauk 75, No. 4, 3--44 (2020) Full Text: DOI OpenURL
Bakhta, Athmane; Ehrlacher, Virginie; Gontier, David Numerical reconstruction of the first band(s) in an inverse Hill’s problem. (English) Zbl 1455.34021 ESAIM, Control Optim. Calc. Var. 26, Paper No. 59, 18 p. (2020). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B24 65L09 34B30 PDF BibTeX XML Cite \textit{A. Bakhta} et al., ESAIM, Control Optim. Calc. Var. 26, Paper No. 59, 18 p. (2020; Zbl 1455.34021) Full Text: DOI arXiv OpenURL
Elliott, K.; Littlejohn, L. L.; Wellman, R. Spectral analysis of the sixth-order Krall differential expression. (English) Zbl 1481.47036 Adv. Oper. Theory 5, No. 3, 1078-1099 (2020). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 47B25 33C65 34B30 34B20 47B65 PDF BibTeX XML Cite \textit{K. Elliott} et al., Adv. Oper. Theory 5, No. 3, 1078--1099 (2020; Zbl 1481.47036) Full Text: DOI arXiv OpenURL
Kong, Fanchao; Lu, Shiping Existence and uniqueness of anti-periodic solutions for prescribed mean curvature Rayleigh \(p\)-Laplacian equations. (English) Zbl 1442.34073 Differ. Equ. Dyn. Syst. 28, No. 1, 229-239 (2020). Reviewer: Vladimir Răsvan (Craiova) MSC: 34C25 34B30 47N20 37C60 PDF BibTeX XML Cite \textit{F. Kong} and \textit{S. Lu}, Differ. Equ. Dyn. Syst. 28, No. 1, 229--239 (2020; Zbl 1442.34073) Full Text: DOI OpenURL
Veliev, O. A. On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\). (English) Zbl 1457.34123 Commun. Pure Appl. Anal. 19, No. 3, 1537-1562 (2020). Reviewer: Hubert Kalf (München) MSC: 34L05 34L40 34L20 PDF BibTeX XML Cite \textit{O. A. Veliev}, Commun. Pure Appl. Anal. 19, No. 3, 1537--1562 (2020; Zbl 1457.34123) Full Text: DOI arXiv OpenURL
Dumaz, Laure; Labbé, Cyril Localization of the continuous Anderson Hamiltonian in 1-d. (English) Zbl 1444.60072 Probab. Theory Relat. Fields 176, No. 1-2, 353-419 (2020). MSC: 60H25 60J60 35P20 PDF BibTeX XML Cite \textit{L. Dumaz} and \textit{C. Labbé}, Probab. Theory Relat. Fields 176, No. 1--2, 353--419 (2020; Zbl 1444.60072) Full Text: DOI arXiv OpenURL
Brandão, P. A. Stability boundaries of a Mathieu equation having PT symmetry. (English) Zbl 1476.81043 Phys. Lett., A 383, No. 25, 3043-3046 (2019). MSC: 81Q12 81R05 34B30 34D20 PDF BibTeX XML Cite \textit{P. A. Brandão}, Phys. Lett., A 383, No. 25, 3043--3046 (2019; Zbl 1476.81043) Full Text: DOI arXiv OpenURL
Freedman, Benjamin; Rodríguez, Jesús Existence of solutions to nonlinear Legendre boundary value problems. (English) Zbl 1436.34022 Differ. Equ. Appl. 11, No. 4, 495-508 (2019). Reviewer: Minghe Pei (Jilin) MSC: 34B30 34B15 47N20 PDF BibTeX XML Cite \textit{B. Freedman} and \textit{J. Rodríguez}, Differ. Equ. Appl. 11, No. 4, 495--508 (2019; Zbl 1436.34022) Full Text: DOI arXiv OpenURL
Kazantsev, Sergeĭ Gavrilovich Factorization of the Green’s operator in the Dirichlet problem for \((-1)^m(d/dt)^{2m}\). (Russian. English summary) Zbl 1440.34027 Sib. Èlektron. Mat. Izv. 16, 1662-1688 (2019). MSC: 34B27 34B05 34B30 33C45 33C52 42C05 PDF BibTeX XML Cite \textit{S. G. Kazantsev}, Sib. Èlektron. Mat. Izv. 16, 1662--1688 (2019; Zbl 1440.34027) Full Text: DOI OpenURL
Bagderina, Yu. Yu. Higher-order Bessel equations integrable in elementary functions. (English. Russian original) Zbl 07123796 J. Math. Sci., New York 241, No. 4, 379-395 (2019); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 140, 3-17 (2017). MSC: 47E05 34L10 34B30 PDF BibTeX XML Cite \textit{Yu. Yu. Bagderina}, J. Math. Sci., New York 241, No. 4, 379--395 (2019; Zbl 07123796); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 140, 3--17 (2017) Full Text: DOI OpenURL
Markett, Clemens On the differential equation for the Laguerre-Sobolev polynomials. (English) Zbl 1429.33019 J. Approx. Theory 247, 48-67 (2019). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 33C47 34B30 34L10 PDF BibTeX XML Cite \textit{C. Markett}, J. Approx. Theory 247, 48--67 (2019; Zbl 1429.33019) Full Text: DOI arXiv OpenURL
Niikuni, Hiroaki On the spectra of Schrödinger operators on zigzag nanotubes with multiple bonds. (English) Zbl 1423.81084 Funkc. Ekvacioj, Ser. Int. 62, No. 2, 255-283 (2019). MSC: 81Q35 34L05 34L15 34B45 81Q10 82D77 82D80 PDF BibTeX XML Cite \textit{H. Niikuni}, Funkc. Ekvacioj, Ser. Int. 62, No. 2, 255--283 (2019; Zbl 1423.81084) Full Text: DOI OpenURL
Liang, Shuqing Exact multiplicity and stability of periodic solutions for Duffing equation with bifurcation method. (English) Zbl 1472.34077 Qual. Theory Dyn. Syst. 18, No. 2, 477-493 (2019). MSC: 34C25 34C23 47N20 37C60 34B30 34C15 34D20 PDF BibTeX XML Cite \textit{S. Liang}, Qual. Theory Dyn. Syst. 18, No. 2, 477--493 (2019; Zbl 1472.34077) Full Text: DOI OpenURL
Uskova, Natal’ya Borisovna The matrix analysis of spectral projections for the perturbed self-adjoint operators. (Russian. English summary) Zbl 07052947 Sib. Èlektron. Mat. Izv. 16, 369-405 (2019). MSC: 35L75 PDF BibTeX XML Cite \textit{N. B. Uskova}, Sib. Èlektron. Mat. Izv. 16, 369--405 (2019; Zbl 07052947) Full Text: DOI OpenURL
Markett, Clemens On the higher-order differential equations for the generalized Laguerre polynomials and Bessel functions. (English) Zbl 1408.33026 Integral Transforms Spec. Funct. 30, No. 5, 347-361 (2019). MSC: 33C47 33C45 34B30 PDF BibTeX XML Cite \textit{C. Markett}, Integral Transforms Spec. Funct. 30, No. 5, 347--361 (2019; Zbl 1408.33026) Full Text: DOI arXiv OpenURL
Niikuni, Hiroaki Schrödinger operators on a zigzag supergraphene-based carbon nanotube. (English) Zbl 07415844 Commun. Comput. Phys. 23, No. 5, 1434-1475 (2018). MSC: 34L40 81Q35 34L15 34B45 PDF BibTeX XML Cite \textit{H. Niikuni}, Commun. Comput. Phys. 23, No. 5, 1434--1475 (2018; Zbl 07415844) Full Text: DOI OpenURL
Fedotov, A. A. A monodromy matrix for the almost Mathieu equation with small coupling constant. (English. Russian original) Zbl 1416.39012 Funct. Anal. Appl. 52, No. 4, 311-315 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 89-93 (2018). MSC: 39A70 39A06 81Q20 34B30 PDF BibTeX XML Cite \textit{A. A. Fedotov}, Funct. Anal. Appl. 52, No. 4, 311--315 (2018; Zbl 1416.39012); translation from Funkts. Anal. Prilozh. 52, No. 4, 89--93 (2018) Full Text: DOI OpenURL
Mikhaĭlets, V. A.; Molyboga, V. M. On spectral gaps of the Hill-Schrödinger operator with singular potential. (Russian. English summary) Zbl 1413.47052 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 3-8 (2018). MSC: 47B38 46E35 PDF BibTeX XML Cite \textit{V. A. Mikhaĭlets} and \textit{V. M. Molyboga}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2018, No. 10, 3--8 (2018; Zbl 1413.47052) Full Text: DOI OpenURL
Katsnelson, Victor Self-adjoint boundary conditions for the prolate spheroid differential operator. (English) Zbl 1471.47031 Alpay, Daniel (ed.) et al., Indefinite inner product spaces, Schur analysis, and differential equations. A volume dedicated to Heinz Langer. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 263, 357-386 (2018). Reviewer: Hubert Kalf (München) MSC: 47E05 34B20 34B30 33E10 34E05 PDF BibTeX XML Cite \textit{V. Katsnelson}, Oper. Theory: Adv. Appl. 263, 357--386 (2018; Zbl 1471.47031) Full Text: DOI arXiv OpenURL
Kravchenko, Vladislav V.; Torba, Sergii M.; Castillo-Pérez, Raúl A Neumann series of Bessel functions representation for solutions of perturbed Bessel equations. (English) Zbl 1395.34016 Appl. Anal. 97, No. 5, 677-704 (2018). MSC: 34A25 34B30 34L40 41A25 42C10 34B24 41A10 41A60 PDF BibTeX XML Cite \textit{V. V. Kravchenko} et al., Appl. Anal. 97, No. 5, 677--704 (2018; Zbl 1395.34016) Full Text: DOI arXiv OpenURL
Kawamoto, Masaki; Yoneyama, Taisuke Strichartz estimates for harmonic potential with time-decaying coefficient. (English) Zbl 1390.35301 J. Evol. Equ. 18, No. 1, 127-142 (2018). MSC: 35Q41 35J10 34B30 PDF BibTeX XML Cite \textit{M. Kawamoto} and \textit{T. Yoneyama}, J. Evol. Equ. 18, No. 1, 127--142 (2018; Zbl 1390.35301) Full Text: DOI OpenURL
Avila, Artur; Jitomirskaya, Svetlana; Zhou, Qi Second phase transition line. (English) Zbl 1416.37010 Math. Ann. 370, No. 1-2, 271-285 (2018). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 37A60 37H15 82B26 47A11 47B40 34B30 PDF BibTeX XML Cite \textit{A. Avila} et al., Math. Ann. 370, No. 1--2, 271--285 (2018; Zbl 1416.37010) Full Text: DOI arXiv OpenURL
Babazhanov, Bazar Atazhanovich; Khasanov, Aknazar Bekdurdievich Integration of equation of Toda periodic chain kind. (Russian. English summary) Zbl 1463.34044 Ufim. Mat. Zh. 9, No. 2, 17-24 (2017); translation in Ufa Math. J. 9, No. 2, 17-24 (2017). MSC: 34A33 39A36 39A12 PDF BibTeX XML Cite \textit{B. A. Babazhanov} and \textit{A. B. Khasanov}, Ufim. Mat. Zh. 9, No. 2, 17--24 (2017; Zbl 1463.34044); translation in Ufa Math. J. 9, No. 2, 17--24 (2017) Full Text: DOI MNR OpenURL
Dunne, Gerald V.; Ünsal, Mithat WKB and resurgence in the Mathieu equation. (English) Zbl 1414.81105 Fauvet, Frédéric (ed.) et al., Resurgence, physics and numbers, Pisa, Italy, May 18–22, 2015. Centro di Ricerca Matematica Ennio De Giorgi (CRM) Series 20. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore. 249-298 (2017). Reviewer: Nicolae Lupa (Timisoara) MSC: 81Q10 81Q20 34B30 PDF BibTeX XML Cite \textit{G. V. Dunne} and \textit{M. Ünsal}, CRM Ser. 20, 249--298 (2017; Zbl 1414.81105) Full Text: DOI arXiv OpenURL
Bikmetov, A. R.; Khusnullin, I. Kh. Perturbation of the Hill operator by narrow potentials. (English. Russian original) Zbl 1385.34060 Russ. Math. 61, No. 7, 1-10 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3-13 (2017). Reviewer: Rakib Efendiev (Baku) MSC: 34L40 34L05 34D10 PDF BibTeX XML Cite \textit{A. R. Bikmetov} and \textit{I. Kh. Khusnullin}, Russ. Math. 61, No. 7, 1--10 (2017; Zbl 1385.34060); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2017, No. 7, 3--13 (2017) Full Text: DOI OpenURL
Dellacherie, Stéphane; Lafitte, Olivier One dimensional explicit solution to a simplified model of stationary thermohydraulic-neutronic coupling. (Une solution explicite monodimensionnelle d’un modèle simplifié de couplage stationnaire thermohydraulique-neutronique.) (French. English summary) Zbl 1379.34041 Ann. Math. Qué. 41, No. 2, 221-264 (2017). MSC: 34C60 34B30 76B99 82D75 PDF BibTeX XML Cite \textit{S. Dellacherie} and \textit{O. Lafitte}, Ann. Math. Qué. 41, No. 2, 221--264 (2017; Zbl 1379.34041) Full Text: DOI OpenURL
Niikuni, Hiroaki Schrödinger operators on a periodically broken zigzag carbon nanotube. (English) Zbl 1372.34129 Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 471-516 (2017). MSC: 34L05 34L15 34B45 34L40 PDF BibTeX XML Cite \textit{H. Niikuni}, Proc. Indian Acad. Sci., Math. Sci. 127, No. 3, 471--516 (2017; Zbl 1372.34129) Full Text: DOI OpenURL
Xin, Yun; Cheng, Zhibo Study on a kind of \(\phi \)-Laplacian Liénard equation with attractive and repulsive singularities. (English) Zbl 1485.34095 J. Inequal. Appl. 2017, Paper No. 180, 12 p. (2017). MSC: 34B30 34C25 34B16 47N20 PDF BibTeX XML Cite \textit{Y. Xin} and \textit{Z. Cheng}, J. Inequal. Appl. 2017, Paper No. 180, 12 p. (2017; Zbl 1485.34095) Full Text: DOI OpenURL
Medak, Beata; Tret’yakov, Alexey A. Application of \(p\)-regularity theory to the Duffing equation. (English) Zbl 1484.34093 Bound. Value Probl. 2017, Paper No. 85, 9 p. (2017). MSC: 34B30 34B15 34B08 37C60 34C25 PDF BibTeX XML Cite \textit{B. Medak} and \textit{A. A. Tret'yakov}, Bound. Value Probl. 2017, Paper No. 85, 9 p. (2017; Zbl 1484.34093) Full Text: DOI OpenURL
Baskakov, Anatoly G.; Polyakov, Dmitry M. The method of similar operators in the spectral analysis of the Hill operator with nonsmooth potential. (English. Russian original) Zbl 1441.47054 Sb. Math. 208, No. 1, 1-43 (2017); translation from Mat. Sb. 208, No. 1, 3-47 (2017). Reviewer: Namig Guliyev (Baku) MSC: 47E05 34L20 34L40 47G20 47D03 PDF BibTeX XML Cite \textit{A. G. Baskakov} and \textit{D. M. Polyakov}, Sb. Math. 208, No. 1, 1--43 (2017; Zbl 1441.47054); translation from Mat. Sb. 208, No. 1, 3--47 (2017) Full Text: DOI OpenURL
Fefferman, C. L.; Lee-Thorp, J. P.; Weinstein, M. I. Topologically protected states in one-dimensional systems. (English) Zbl 1379.35076 Mem. Am. Math. Soc. 1173, viii, 118 p. (2017). Reviewer: Patrick Winkert (Berlin) MSC: 35J10 35B32 35Q41 37G40 34B30 PDF BibTeX XML Cite \textit{C. L. Fefferman} et al., Topologically protected states in one-dimensional systems. Providence, RI: American Mathematical Society (AMS) (2017; Zbl 1379.35076) Full Text: DOI arXiv OpenURL
Bouche, Daniel; Hong, Youngjoon; Jung, Chang-Yeol Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers. (English) Zbl 1379.78008 Discrete Contin. Dyn. Syst. 37, No. 3, 1159-1181 (2017). Reviewer: Pierluigi Maponi (Camerino) MSC: 78A45 34E20 35B40 78A05 34B30 35J05 78M35 PDF BibTeX XML Cite \textit{D. Bouche} et al., Discrete Contin. Dyn. Syst. 37, No. 3, 1159--1181 (2017; Zbl 1379.78008) Full Text: DOI OpenURL
Kıraç, Alp Arslan Ambarzumyan’s theorem for the quasi-periodic boundary conditions. (English) Zbl 1358.34026 Anal. Math. Phys. 6, No. 3, 297-300 (2016). MSC: 34A55 34B30 34L05 47E05 34B09 PDF BibTeX XML Cite \textit{A. A. Kıraç}, Anal. Math. Phys. 6, No. 3, 297--300 (2016; Zbl 1358.34026) Full Text: DOI arXiv OpenURL
Efendiev, Rakib F.; Orudzhev, Hamzaga D.; El-Raheem, Zaki F. A. Spectral analysis of wave propagation on branching strings. (English) Zbl 1357.34060 Bound. Value Probl. 2016, Paper No. 215, 18 p. (2016). MSC: 34B45 34L05 34A55 34L40 PDF BibTeX XML Cite \textit{R. F. Efendiev} et al., Bound. Value Probl. 2016, Paper No. 215, 18 p. (2016; Zbl 1357.34060) Full Text: DOI OpenURL
Baskakov, A. G.; Polyakov, Dmitry M. Spectral properties of the Hill operator. (English. Russian original) Zbl 1371.34129 Math. Notes 99, No. 4, 598-602 (2016); translation from Mat. Zametki 99, No. 4, 613-617 (2016). Reviewer: Natalia Bondarenko (Saratov) MSC: 34L20 34L40 47E05 PDF BibTeX XML Cite \textit{A. G. Baskakov} and \textit{D. M. Polyakov}, Math. Notes 99, No. 4, 598--602 (2016; Zbl 1371.34129); translation from Mat. Zametki 99, No. 4, 613--617 (2016) Full Text: DOI OpenURL
Moumni, M.; Falek, M. Schrödinger equation for non-pure dipole potential in 2D systems. (English) Zbl 1342.81114 J. Math. Phys. 57, No. 7, 072104, 9 p. (2016). MSC: 81Q05 81Q10 81V70 81V45 81V55 82D80 34B30 PDF BibTeX XML Cite \textit{M. Moumni} and \textit{M. Falek}, J. Math. Phys. 57, No. 7, 072104, 9 p. (2016; Zbl 1342.81114) Full Text: DOI arXiv OpenURL
Veliev, O. A. On the spectral singularities and spectrality of the Hill operator. (English) Zbl 1346.34056 Oper. Matrices 10, No. 1, 57-71 (2016). Reviewer: Hubert Kalf (München) MSC: 34L05 34L40 47B40 PDF BibTeX XML Cite \textit{O. A. Veliev}, Oper. Matrices 10, No. 1, 57--71 (2016; Zbl 1346.34056) Full Text: DOI arXiv Link OpenURL
Yakhshimuratov, A. B.; Matyokubov, M. M. Integration of a loaded Korteweg-de Vries equation in a class of periodic functions. (English. Russian original) Zbl 1342.35315 Russ. Math. 60, No. 2, 72-76 (2016); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 2, 87-92 (2016). MSC: 35Q53 35B10 34B24 34B30 PDF BibTeX XML Cite \textit{A. B. Yakhshimuratov} and \textit{M. M. Matyokubov}, Russ. Math. 60, No. 2, 72--76 (2016; Zbl 1342.35315); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2016, No. 2, 87--92 (2016) Full Text: DOI OpenURL
Kiraç, Alp Arslan Inverse problems associated with the Hill operator. (English) Zbl 1341.34017 Electron. J. Differ. Equ. 2016, Paper No. 41, 12 p. (2016). Reviewer: Baki Keskın (Sivas) MSC: 34A55 34B30 34L05 47E05 34B09 PDF BibTeX XML Cite \textit{A. A. Kiraç}, Electron. J. Differ. Equ. 2016, Paper No. 41, 12 p. (2016; Zbl 1341.34017) Full Text: EMIS OpenURL
Niikuni, Hiroaki Spectral band structure of periodic Schrödinger operators with two potentials on the degenerate zigzag nanotube. (English) Zbl 1334.34066 J. Appl. Math. Comput. 50, No. 1-2, 453-482 (2016). MSC: 34B45 34L05 34L15 34L40 PDF BibTeX XML Cite \textit{H. Niikuni}, J. Appl. Math. Comput. 50, No. 1--2, 453--482 (2016; Zbl 1334.34066) Full Text: DOI OpenURL
Hu, Xijun; Wang, Penghui Hill-type formula and Krein-type trace formula for \(S\)-periodic solutions in ODEs. (English) Zbl 1329.34134 Discrete Contin. Dyn. Syst. 36, No. 2, 763-784 (2016). Reviewer: Manuel D. de la Iglesia (México D. F.) MSC: 34L05 34B09 47E05 PDF BibTeX XML Cite \textit{X. Hu} and \textit{P. Wang}, Discrete Contin. Dyn. Syst. 36, No. 2, 763--784 (2016; Zbl 1329.34134) Full Text: DOI arXiv OpenURL
Niikuni, Hiroaki Spectral band structure of periodic Schrödinger operators on a generalized degenerate zigzag nanotube. (English) Zbl 1337.34087 Tokyo J. Math. 38, No. 2, 409-438 (2015). MSC: 34L05 34L15 34B45 34L40 PDF BibTeX XML Cite \textit{H. Niikuni}, Tokyo J. Math. 38, No. 2, 409--438 (2015; Zbl 1337.34087) Full Text: DOI Euclid OpenURL
Babajanov, B. A.; Khasanov, A. B. Periodic Toda chain with an integral source. (English. Russian original) Zbl 1329.37072 Theor. Math. Phys. 184, No. 2, 1114-1128 (2015); translation from Teor. Mat. Fiz. 184, No. 2, 253–268 (2015). MSC: 37K15 37K10 PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{A. B. Khasanov}, Theor. Math. Phys. 184, No. 2, 1114--1128 (2015; Zbl 1329.37072); translation from Teor. Mat. Fiz. 184, No. 2, 253--268 (2015) Full Text: DOI OpenURL
Bengochea, Gabriel An operational approach with application to fractional Bessel equation. (English) Zbl 1327.44005 Fract. Calc. Appl. Anal. 18, No. 5, 1201-1211 (2015). MSC: 44A40 26A33 34A08 34B30 PDF BibTeX XML Cite \textit{G. Bengochea}, Fract. Calc. Appl. Anal. 18, No. 5, 1201--1211 (2015; Zbl 1327.44005) Full Text: DOI OpenURL
Balan, Vladimir; Manukyan, Ashot M.; Ovsiyuk, Elena M.; Red’kov, Victor M.; Veko, Olga V. Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space. (English) Zbl 1326.81060 Appl. Sci. 17, 9-23 (2015). MSC: 81Q05 33E30 34B30 81R20 81Q10 PDF BibTeX XML Cite \textit{V. Balan} et al., Appl. Sci. 17, 9--23 (2015; Zbl 1326.81060) Full Text: arXiv Link OpenURL
Fring, Andreas E2-quasi-exact solvability for non-Hermitian models. (English) Zbl 1312.81074 J. Phys. A, Math. Theor. 48, No. 14, Article ID 145301, 19 p. (2015). MSC: 81Q12 34L15 81Q80 81Q10 34B30 33E10 PDF BibTeX XML Cite \textit{A. Fring}, J. Phys. A, Math. Theor. 48, No. 14, Article ID 145301, 19 p. (2015; Zbl 1312.81074) Full Text: DOI arXiv Link OpenURL
Schmidt, Alexandre G. M.; Portugal, L.; de Jesus, Anderson L. Quantum systems with position-dependent mass and spin-orbit interaction via Rashba and Dresselhaus terms. (English) Zbl 1305.81081 J. Math. Phys. 56, No. 1, 012107, 12 p. (2015). MSC: 81Q05 81R05 81Q10 81V45 33C10 34B30 PDF BibTeX XML Cite \textit{A. G. M. Schmidt} et al., J. Math. Phys. 56, No. 1, 012107, 12 p. (2015; Zbl 1305.81081) Full Text: DOI OpenURL
Veliev, O. A. Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators. (Spectral problems of a class of non-self-adjoint one-dimensional Schrodinger operators.) (English) Zbl 1304.47060 J. Math. Anal. Appl. 422, No. 2, 1390-1401 (2015). Reviewer: Dian K. Palagachev (Bari) MSC: 47E05 34L40 47A10 PDF BibTeX XML Cite \textit{O. A. Veliev}, J. Math. Anal. Appl. 422, No. 2, 1390--1401 (2015; Zbl 1304.47060) Full Text: DOI arXiv OpenURL
Veliev, O. A. On the simplicity of the eigenvalues of non-self-adjoint Mathieu-Hill operators. (English) Zbl 1344.34092 Appl. Comput. Math. 13, No. 1, 122-134 (2014). MSC: 34L15 34L05 34L40 PDF BibTeX XML Cite \textit{O. A. Veliev}, Appl. Comput. Math. 13, No. 1, 122--134 (2014; Zbl 1344.34092) Full Text: arXiv Link OpenURL
Ekincioglu, Ismail; Sayan, Hasan H.; Keskin, Cansu High order Riesz transforms and mean value formula for generalized translate operator. (English) Zbl 1336.31014 J. Inequal. Appl. 2014, Paper No. 148, 18 p. (2014). MSC: 31B15 34B30 PDF BibTeX XML Cite \textit{I. Ekincioglu} et al., J. Inequal. Appl. 2014, Paper No. 148, 18 p. (2014; Zbl 1336.31014) Full Text: DOI arXiv OpenURL
Efendiev, Rakib F.; Garcia-Raffi, Luis M. Spectral analysis of the complex Hill operator on the star graph. (English) Zbl 1343.34191 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, Spec. Iss., 124-132 (2014). MSC: 34L05 34B24 34L25 34B45 34L40 34A55 PDF BibTeX XML Cite \textit{R. F. Efendiev} and \textit{L. M. Garcia-Raffi}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 40, 124--132 (2014; Zbl 1343.34191) OpenURL
Djakov, Plamen B.; Mityagin, Boris Samuilovich Riesz basis property of Hill operators with potentials in weighted spaces. (English. Russian original) Zbl 1369.47055 Trans. Mosc. Math. Soc. 2014, 151-172 (2014); translation from Tr. Mosk. Mat. O.-va 75, No. 2, 181-204 (2014). MSC: 47E05 34L40 34L10 PDF BibTeX XML Cite \textit{P. B. Djakov} and \textit{B. S. Mityagin}, Trans. Mosc. Math. Soc. 2014, 151--172 (2014; Zbl 1369.47055); translation from Tr. Mosk. Mat. O.-va 75, No. 2, 181--204 (2014) Full Text: DOI arXiv OpenURL
Cuenin, Jean-Claude; Siedentop, Heinz Dipoles in graphene have infinitely many bound states. (English) Zbl 1311.82055 J. Math. Phys. 55, No. 12, 122304, 10 p. (2014). Reviewer: Yulianna Perepelkina (Moskva) MSC: 82D80 81Q10 34B30 33E10 81Q05 34L40 70H08 47D09 47L30 PDF BibTeX XML Cite \textit{J.-C. Cuenin} and \textit{H. Siedentop}, J. Math. Phys. 55, No. 12, 122304, 10 p. (2014; Zbl 1311.82055) Full Text: DOI arXiv OpenURL
Cohl, Howard S.; Volkmer, Hans Expansions for a fundamental solution of Laplace’s equation on \(\mathbb{R}^{3}\) in 5-cyclidic harmonics. (English) Zbl 1304.35211 Anal. Appl., Singap. 12, No. 6, 613-633 (2014). MSC: 35E05 34L10 35J05 34L05 34B30 35J08 PDF BibTeX XML Cite \textit{H. S. Cohl} and \textit{H. Volkmer}, Anal. Appl., Singap. 12, No. 6, 613--633 (2014; Zbl 1304.35211) Full Text: DOI arXiv OpenURL
Handy, Carlos R.; Vrinceanu, Daniel; Gupta, Rahul A moments’ analysis of quasi-exactly solvable systems: a new perspective on the sextic potential \(gx^6+bx^4+mx^2 +\frac{\beta}{x^2}\). (English) Zbl 1295.81054 J. Phys. A, Math. Theor. 47, No. 29, Article ID 295203, 21 p. (2014). MSC: 81Q05 81Q10 34B30 41A58 81U15 PDF BibTeX XML Cite \textit{C. R. Handy} et al., J. Phys. A, Math. Theor. 47, No. 29, Article ID 295203, 21 p. (2014; Zbl 1295.81054) Full Text: DOI arXiv OpenURL
Bruder, Andrea; Littlejohn, Lance L. Classical and Sobolev orthogonality of the nonclassical Jacobi polynomials with parameters \(\alpha =\beta =-1\). (English) Zbl 1296.33018 Ann. Mat. Pura Appl. (4) 193, No. 2, 431-455 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34B30 47B25 34B20 47B65 PDF BibTeX XML Cite \textit{A. Bruder} and \textit{L. L. Littlejohn}, Ann. Mat. Pura Appl. (4) 193, No. 2, 431--455 (2014; Zbl 1296.33018) Full Text: DOI arXiv OpenURL
Tanaka, Ken’ichiro; Murashige, Sunao Convergence rates and explicit error bounds of Hill’s method for spectra of self-adjoint differential operators. (English) Zbl 1322.65080 Japan J. Ind. Appl. Math. 31, No. 1, 25-56 (2014). Reviewer: Denis V. Dragunov (Kyiv) MSC: 65L15 65L20 65L70 34L16 PDF BibTeX XML Cite \textit{K. Tanaka} and \textit{S. Murashige}, Japan J. Ind. Appl. Math. 31, No. 1, 25--56 (2014; Zbl 1322.65080) Full Text: DOI arXiv OpenURL
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. II: Its relevance to the Mathieu equation and the Legendre equation. (English) Zbl 1293.35301 Adv. Math. 260, 565-613 (2014). MSC: 35Q55 37K10 34B30 34M60 81Q20 PDF BibTeX XML Cite \textit{S. Kamimoto} et al., Adv. Math. 260, 565--613 (2014; Zbl 1293.35301) Full Text: DOI OpenURL
Kamimoto, Shingo; Kawai, Takahiro; Takei, Yoshitsugu Exact WKB analysis of a Schrödinger equation with a merging triplet of two simple poles and one simple turning point. I: Its WKB-theoretic transformation to the Mathieu equation. (English) Zbl 1293.35300 Adv. Math. 260, 458-564 (2014). MSC: 35Q55 37K10 34B30 34M60 81Q20 PDF BibTeX XML Cite \textit{S. Kamimoto} et al., Adv. Math. 260, 458--564 (2014; Zbl 1293.35300) Full Text: DOI OpenURL
Pankrashkin, Konstantin A remark on the discriminant of Hill’s equation and Herglotz functions. (English) Zbl 1316.34015 Arch. Math. 102, No. 2, 155-163 (2014). Reviewer: Petr Zemanek (Brno) MSC: 34A30 34B05 34L40 47E05 34B20 PDF BibTeX XML Cite \textit{K. Pankrashkin}, Arch. Math. 102, No. 2, 155--163 (2014; Zbl 1316.34015) Full Text: DOI arXiv OpenURL
Chuiko, S. M.; Kulish, P. V. Parametric resonance in the semi-nonlinear periodic boundary-value problem. (Russian. English summary) Zbl 1480.34027 Tr. Inst. Prikl. Mat. Mekh. 27, 240-249 (2013). MSC: 34B15 37C60 34A45 34B30 70K28 34B27 PDF BibTeX XML Cite \textit{S. M. Chuiko} and \textit{P. V. Kulish}, Tr. Inst. Prikl. Mat. Mekh. 27, 240--249 (2013; Zbl 1480.34027) OpenURL
Batal, Ahmet Characterization of potential smoothness and the Riesz basis property of the Hill-Schrödinger operator in terms of periodic, antiperiodic and Neumann spectra. (English) Zbl 1317.34177 J. Math. Anal. Appl. 405, No. 2, 453-465 (2013). MSC: 34L40 34L10 PDF BibTeX XML Cite \textit{A. Batal}, J. Math. Anal. Appl. 405, No. 2, 453--465 (2013; Zbl 1317.34177) Full Text: DOI arXiv OpenURL
Fulton, Charles; Pearson, David; Pruess, Steven Characterization of the spectral density function for a one-sided tridiagonal Jacobi matrix operator. (English) Zbl 1307.39008 Discrete Contin. Dyn. Syst. 2013, Suppl., 247-257 (2013). MSC: 39A70 39A30 39A12 39A23 47B36 PDF BibTeX XML Cite \textit{C. Fulton} et al., Discrete Contin. Dyn. Syst. 2013, 247--257 (2013; Zbl 1307.39008) Full Text: Link OpenURL
Al Subaie, R. F.; Mourou, M. A. Transmutation operators associated with a Bessel type operator on the half line and certain of their applications. (English) Zbl 1298.42010 Tamsui Oxf. J. Inf. Math. Sci. 29, No. 3, 329-349 (2013). MSC: 42A38 44A35 34B30 PDF BibTeX XML Cite \textit{R. F. Al Subaie} and \textit{M. A. Mourou}, Tamsui Oxf. J. Inf. Math. Sci. 29, No. 3, 329--349 (2013; Zbl 1298.42010) OpenURL
Dinibütün, Seza; Veliev, O. A. On the estimations of the small periodic eigenvalues. (English) Zbl 1303.34071 Abstr. Appl. Anal. 2013, Article ID 145967, 11 p. (2013). MSC: 34L15 34B09 34L20 PDF BibTeX XML Cite \textit{S. Dinibütün} and \textit{O. A. Veliev}, Abstr. Appl. Anal. 2013, Article ID 145967, 11 p. (2013; Zbl 1303.34071) Full Text: DOI OpenURL
Badanin, Andrey; Korotyaev, Evgeny Trace formula for fourth order operators on the circle. (English) Zbl 1293.47042 Dyn. Partial Differ. Equ. 10, No. 4, 343-352 (2013). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 47E05 34B05 34L05 46E35 PDF BibTeX XML Cite \textit{A. Badanin} and \textit{E. Korotyaev}, Dyn. Partial Differ. Equ. 10, No. 4, 343--352 (2013; Zbl 1293.47042) Full Text: DOI arXiv OpenURL
Veliev, Oktay A. Asymptotic analysis of non-self-adjoint Hill operators. (English) Zbl 1291.34140 Cent. Eur. J. Math. 11, No. 12, 2234-2256 (2013). Reviewer: Petru A. Cojuhari (Kraków) MSC: 34L05 34L20 34L15 PDF BibTeX XML Cite \textit{O. A. Veliev}, Cent. Eur. J. Math. 11, No. 12, 2234--2256 (2013; Zbl 1291.34140) Full Text: DOI arXiv OpenURL
Molyboga, V. N. Characterization of gaps in the spectrum of the Hill operator with distributional potential. (Ukrainian. English summary) Zbl 1289.34240 Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 248-259 (2013). MSC: 34L40 47A10 34L05 47A75 PDF BibTeX XML Cite \textit{V. N. Molyboga}, Zb. Pr. Inst. Mat. NAN Ukr. 10, No. 2, 248--259 (2013; Zbl 1289.34240) OpenURL
Colin de Verdière, Yves Magnetic interpretation of the nodal defect on graphs. (English) Zbl 1281.35090 Anal. PDE 6, No. 5, 1235-1242 (2013). MSC: 35R02 05C90 35J10 35P05 58E05 PDF BibTeX XML Cite \textit{Y. Colin de Verdière}, Anal. PDE 6, No. 5, 1235--1242 (2013; Zbl 1281.35090) Full Text: DOI arXiv OpenURL
Do, Ngoc T.; Kuchment, Peter Quantum graph spectra of a graphyne structure. (English) Zbl 1273.81067 Nanoscale Syst., Math. Model. Theory Appl. 2, 107-123 (2013). MSC: 81Q05 35P99 35Q40 82D80 PDF BibTeX XML Cite \textit{N. T. Do} and \textit{P. Kuchment}, Nanoscale Syst., Math. Model. Theory Appl. 2, 107--123 (2013; Zbl 1273.81067) Full Text: DOI arXiv OpenURL
Sat, Murat; Panakhov, Etibar S. A uniqueness theorem for Bessel operator from interior spectral data. (English) Zbl 1275.47097 Abstr. Appl. Anal. 2013, Article ID 713654, 6 p. (2013). Reviewer: Denis Sidorov (Irkutsk) MSC: 47E05 34B24 34A55 34B30 PDF BibTeX XML Cite \textit{M. Sat} and \textit{E. S. Panakhov}, Abstr. Appl. Anal. 2013, Article ID 713654, 6 p. (2013; Zbl 1275.47097) Full Text: DOI OpenURL
Veliev, O. A. Isospectral Mathieu-Hill operators. (English) Zbl 1280.34087 Lett. Math. Phys. 103, No. 8, 919-925 (2013). Reviewer: Manfred Möller (Johannesburg) MSC: 34L20 34L05 34L40 34A55 PDF BibTeX XML Cite \textit{O. A. Veliev}, Lett. Math. Phys. 103, No. 8, 919--925 (2013; Zbl 1280.34087) Full Text: DOI arXiv OpenURL
Djakov, Plamen; Mityagin, Boris Combinatorial identities related to eigen-function decompositions of Hill operators: open questions. (English) Zbl 1276.47058 Integral Equations Oper. Theory 75, No. 1, 7-12 (2013). Reviewer: Meirong Zhang (Beijing) MSC: 47E05 34L40 34L10 05A19 00A07 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, Integral Equations Oper. Theory 75, No. 1, 7--12 (2013; Zbl 1276.47058) Full Text: DOI arXiv OpenURL
Liang, S. Exact multiplicity and stability of periodic solutions for a Duffing equation. (English) Zbl 1267.34069 Mediterr. J. Math. 10, No. 1, 189-199 (2013). Reviewer: Pedro J. Torres (Granada) MSC: 34C25 34D20 47N20 PDF BibTeX XML Cite \textit{S. Liang}, Mediterr. J. Math. 10, No. 1, 189--199 (2013; Zbl 1267.34069) Full Text: DOI OpenURL
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael Periodic differential operators. (English) Zbl 1267.34001 Operator Theory: Advances and Applications 230. Basel: Birkhäuser (ISBN 978-3-0348-0527-8/hbk; 978-3-0348-0528-5/ebook). viii, 216 p. (2013). Reviewer: George Karakostas (Ioannina) MSC: 34-02 34L15 34L10 34C20 34A30 34B30 34L05 34L40 47A55 47E05 81Q05 81Q10 34L16 PDF BibTeX XML Cite \textit{B. M. Brown} et al., Periodic differential operators. Basel: Birkhäuser (2013; Zbl 1267.34001) Full Text: DOI OpenURL
García-Ravelo, J.; Schulze-Halberg, A.; Trujillo, A. L. Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations. (English) Zbl 1278.81063 J. Math. Phys. 53, No. 10, 102101, 14 p. (2012). MSC: 81Q05 81Q10 81Q15 81R15 34B30 PDF BibTeX XML Cite \textit{J. García-Ravelo} et al., J. Math. Phys. 53, No. 10, 102101, 14 p. (2012; Zbl 1278.81063) Full Text: DOI OpenURL
He, Wei; Miao, Yan-Gang Mathieu equation and elliptic curve. (English) Zbl 1264.34050 Commun. Theor. Phys. 58, No. 6, 827-834 (2012). MSC: 34B30 14H52 55N34 81Q05 81Q10 81T13 81T60 81Q20 PDF BibTeX XML Cite \textit{W. He} and \textit{Y.-G. Miao}, Commun. Theor. Phys. 58, No. 6, 827--834 (2012; Zbl 1264.34050) Full Text: DOI arXiv OpenURL
Riedel, Norbert Persistence of gaps in the spectrum of certain almost periodic operators. (English) Zbl 1269.81227 Adv. Theor. Math. Phys. 16, No. 2, 693-712 (2012). MSC: 81V70 81Q10 34B30 34K14 PDF BibTeX XML Cite \textit{N. Riedel}, Adv. Theor. Math. Phys. 16, No. 2, 693--712 (2012; Zbl 1269.81227) Full Text: DOI arXiv Euclid OpenURL
Mikhailets, Vladimir; Molyboga, Volodymyr Smoothness of Hill’s potential and lengths of spectral gaps. (English) Zbl 1270.34199 Arendt, Wolfgang (ed.) et al., Spectral theory, mathematical system theory, evolution equations, differential and difference equations. Selected papers of 21st international workshop on operator theory and applications, IWOTA10, Berlin, Germany, July 12–16, 2010. Basel: Birkhäuser (ISBN 978-3-0348-0296-3/hbk; 978-3-0348-0297-0/ebook). Operator Theory: Advances and Applications 221, 469-479 (2012). Reviewer: Roger A. Nichols (Chattanooga) MSC: 34L40 47A10 34L05 47A75 PDF BibTeX XML Cite \textit{V. Mikhailets} and \textit{V. Molyboga}, Oper. Theory: Adv. Appl. 221, 469--479 (2012; Zbl 1270.34199) Full Text: DOI arXiv OpenURL
Niikuni, Hiroaki On the degenerate spectral gaps of the one-dimensional Schrödinger operators with periodic point interactions. (English) Zbl 1263.34119 SIAM J. Math. Anal. 44, No. 4, 2847-2870 (2012). MSC: 34L05 34L15 34B30 34B37 34L40 PDF BibTeX XML Cite \textit{H. Niikuni}, SIAM J. Math. Anal. 44, No. 4, 2847--2870 (2012; Zbl 1263.34119) Full Text: DOI OpenURL
Brown, B. M.; Schmidt, K. M. On the HELP inequality for Hill operators on trees. (English) Zbl 1258.34173 Brown, B. Malcolm (ed.) et al., Spectral theory, function spaces and inequalities. New techniques and recent trends. Dedicated to David Edmund and Des Evans to their 80th and 70th birthdays. Berlin: Springer (ISBN 978-3-0348-0262-8/hbk; 978-3-0348-0263-5/ebook). Operator Theory: Advances and Applications 219, 21-36 (2012). Reviewer: Satoshi Tanaka (Okayama) MSC: 34L40 34A40 81Q35 34B20 PDF BibTeX XML Cite \textit{B. M. Brown} and \textit{K. M. Schmidt}, Oper. Theory: Adv. Appl. 219, 21--36 (2012; Zbl 1258.34173) Full Text: DOI OpenURL
Leon, M. A. Gonzalez; Guilarte, J. Mateos; Senosiain, M. J.; de la Torre Mayado, M. On the supersymmetric spectra of two planar integrable quantum systems. (English) Zbl 1248.81065 Acosta-Humánez, Primitivo B. (ed.) et al., Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics, Jairo Charris Seminar 2010, Santa Maria, Colombia, August 2010. Providence, RI: American Mathematical Society (AMS); Bogota: Instituto de Matemáticas y sus Aplicaciones (IMA). (ISBN 978-0-8218-7584-1/pbk). Contemporary Mathematics 563, 73-113 (2012). MSC: 81Q60 81Q10 81R12 81Q80 81Q05 70F07 81V05 PDF BibTeX XML Cite \textit{M. A. G. Leon} et al., Contemp. Math. 563, 73--113 (2012; Zbl 1248.81065) Full Text: arXiv OpenURL
Johnson, Mathew A.; Zumbrun, Kevin Convergence of Hill’s method for nonselfadjoint operators. (English) Zbl 1246.65134 SIAM J. Numer. Anal. 50, No. 1, 64-78 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 65L15 34L15 47N20 47N40 PDF BibTeX XML Cite \textit{M. A. Johnson} and \textit{K. Zumbrun}, SIAM J. Numer. Anal. 50, No. 1, 64--78 (2012; Zbl 1246.65134) Full Text: DOI arXiv OpenURL
El-Jaick, Léa Jaccoud; Figueiredo, Bartolomeu D. B. Erratum: “A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole” [J. Math. Phys.50, 123511, 22 p. (2009)]. (English) Zbl 1316.81026 J. Math. Phys. 52, No. 4, 049901, 1 p. (2011). MSC: 81Q05 81Q10 33C45 34B30 34L40 PDF BibTeX XML Cite \textit{L. J. El-Jaick} and \textit{B. D. B. Figueiredo}, J. Math. Phys. 52, No. 4, 049901, 1 p. (2011; Zbl 1316.81026) Full Text: DOI OpenURL
Mikhailets, V. A.; Molyboga, V. M. Hill’s potentials in Hörmander spaces and their spectral gaps. (English) Zbl 1249.47028 Methods Funct. Anal. Topol. 17, No. 3, 235-243 (2011). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47E05 34L40 47A75 PDF BibTeX XML Cite \textit{V. A. Mikhailets} and \textit{V. M. Molyboga}, Methods Funct. Anal. Topol. 17, No. 3, 235--243 (2011; Zbl 1249.47028) Full Text: arXiv OpenURL
Djakov, Plamen; Mityagin, Boris Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials. (English) Zbl 1367.47050 Math. Ann. 351, No. 3, 509-540 (2011). MSC: 47E05 34L40 34L10 PDF BibTeX XML Cite \textit{P. Djakov} and \textit{B. Mityagin}, Math. Ann. 351, No. 3, 509--540 (2011; Zbl 1367.47050) Full Text: DOI arXiv OpenURL
Nabiev, I. M. Solution of the inverse quasiperiodic problem for the Dirac system. (English. Russian original) Zbl 1235.34043 Math. Notes 89, No. 6, 845-852 (2011); translation from Mat. Zametki 89, No. 6, 885-893 (2011). Reviewer: Vjacheslav Yurko (Saratov) MSC: 34A55 34B30 47E05 34L05 PDF BibTeX XML Cite \textit{I. M. Nabiev}, Math. Notes 89, No. 6, 845--852 (2011; Zbl 1235.34043); translation from Mat. Zametki 89, No. 6, 885--893 (2011) Full Text: DOI OpenURL