Behncke, Horst; Hinton, Don \(\mathcal{C}\)-symmetric second order differential operators with large leading coefficient. (English) Zbl 07812192 Differ. Equ. Appl. 15, No. 4, 297-322 (2023). MSC: 34L05 34B20 34B27 34B40 34B60 PDFBibTeX XMLCite \textit{H. Behncke} and \textit{D. Hinton}, Differ. Equ. Appl. 15, No. 4, 297--322 (2023; Zbl 07812192) Full Text: DOI
Zheng, Zhaowen; Qi, Jiangang; Shao, Jing Friedrichs extensions for Sturm-Liouville operators with complex coefficients and their spectra. (English) Zbl 07768291 Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 6, 1883-1905 (2023). MSC: 47E05 34B20 34B24 PDFBibTeX XMLCite \textit{Z. Zheng} et al., Proc. R. Soc. Edinb., Sect. A, Math. 153, No. 6, 1883--1905 (2023; Zbl 07768291) Full Text: DOI
Yang, Chen; Sun, Huaqing Friedrichs extensions of a class of singular Hamiltonian systems. (English) Zbl 07379511 J. Differ. Equations 293, 359-391 (2021). MSC: 47H06 47B25 34B05 PDFBibTeX XMLCite \textit{C. Yang} and \textit{H. Sun}, J. Differ. Equations 293, 359--391 (2021; Zbl 07379511) Full Text: DOI
Stepanenko, Alexei Spectral inclusion and pollution for a class of dissipative perturbations. (English) Zbl 1456.81182 J. Math. Phys. 62, No. 1, Article ID 013501, 25 p. (2021). MSC: 81Q10 34L40 34B24 47A10 47A55 47A58 PDFBibTeX XMLCite \textit{A. Stepanenko}, J. Math. Phys. 62, No. 1, Article ID 013501, 25 p. (2021; Zbl 1456.81182) Full Text: DOI arXiv Link
Behncke, Horst; Hinton, Don \(\mathcal{C}\)-symmetric second order differential operators. (English) Zbl 1486.34165 Oper. Matrices 14, No. 4, 871-908 (2020). Reviewer: Vassilis G. Papanicolaou (Athína) MSC: 34L05 34B20 34B27 34B40 34B60 PDFBibTeX XMLCite \textit{H. Behncke} and \textit{D. Hinton}, Oper. Matrices 14, No. 4, 871--908 (2020; Zbl 1486.34165) Full Text: DOI
Sun, Huaqing; Xie, Bing Spectra of a class of non-symmetric operators in Hilbert spaces with applications to singular differential operators. (English) Zbl 1506.47037 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1769-1790 (2020). Reviewer: Hubert Kalf (München) MSC: 47B25 34B24 PDFBibTeX XMLCite \textit{H. Sun} and \textit{B. Xie}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 4, 1769--1790 (2020; Zbl 1506.47037) Full Text: DOI
Dereziński, Jan; Georgescu, Vladimir One-dimensional Schrödinger operators with complex potentials. (English) Zbl 1441.47055 Ann. Henri Poincaré 21, No. 6, 1947-2008 (2020). MSC: 47E05 34L40 34L25 47A55 47A40 PDFBibTeX XMLCite \textit{J. Dereziński} and \textit{V. Georgescu}, Ann. Henri Poincaré 21, No. 6, 1947--2008 (2020; Zbl 1441.47055) Full Text: DOI arXiv
Bögli, Sabine; Marletta, Marco; Tretter, Christiane The essential numerical range for unbounded linear operators. (English) Zbl 1505.47007 J. Funct. Anal. 279, No. 1, Article ID 108509, 49 p. (2020). Reviewer: Kallol Paul (Kolkata) MSC: 47A12 47B02 47A55 47A58 PDFBibTeX XMLCite \textit{S. Bögli} et al., J. Funct. Anal. 279, No. 1, Article ID 108509, 49 p. (2020; Zbl 1505.47007) Full Text: DOI arXiv Link
Leben, Florian; Trunk, Carsten Operator-based approach to \({\mathcal{P}}{\mathcal{T}}\)-symmetric problems on a wedge-shaped contour. (English) Zbl 1423.81076 Quantum Stud. Math. Found. 6, No. 3, 315-333 (2019). MSC: 81Q12 34L40 81R05 47B25 35P05 PDFBibTeX XMLCite \textit{F. Leben} and \textit{C. Trunk}, Quantum Stud. Math. Found. 6, No. 3, 315--333 (2019; Zbl 1423.81076) Full Text: DOI arXiv
Van Gorder, Robert A.; Kim, Hyunyeon; Krause, Andrew L. Diffusive instabilities and spatial patterning from the coupling of reaction-diffusion processes with Stokes flow in complex domains. (English) Zbl 1430.76176 J. Fluid Mech. 877, 759-823 (2019). MSC: 76E06 76V05 35K57 76D07 PDFBibTeX XMLCite \textit{R. A. Van Gorder} et al., J. Fluid Mech. 877, 759--823 (2019; Zbl 1430.76176) Full Text: DOI
Zhang, Chao; Sun, Shurong Classification and criteria of limit cases for singular second-order linear equations with complex coefficients on time scales. (English) Zbl 1419.34246 Adv. Difference Equ. 2016, Paper No. 119, 21 p. (2016). MSC: 34N05 PDFBibTeX XMLCite \textit{C. Zhang} and \textit{S. Sun}, Adv. Difference Equ. 2016, Paper No. 119, 21 p. (2016; Zbl 1419.34246) Full Text: DOI
Besse, Nicolas; Coulette, David Asymptotic and spectral analysis of the gyrokinetic-waterbag integro-differential operator in toroidal geometry. (English) Zbl 1348.35271 J. Math. Phys. 57, No. 8, 081518, 64 p. (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q83 47G20 82D10 82D75 76X05 76U05 78A35 35Q60 PDFBibTeX XMLCite \textit{N. Besse} and \textit{D. Coulette}, J. Math. Phys. 57, No. 8, 081518, 64 p. (2016; Zbl 1348.35271) Full Text: DOI Link
Sun, Huaqing; Shi, Yuming; Jian, Wenwen \(\mathcal{J}\)-self-adjoint extensions of a class of Hamiltonian differential systems. (English) Zbl 1417.34205 Linear Algebra Appl. 462, 204-232 (2014). MSC: 34L05 34B40 47E05 37J45 PDFBibTeX XMLCite \textit{H. Sun} et al., Linear Algebra Appl. 462, 204--232 (2014; Zbl 1417.34205) Full Text: DOI
Marletta, Marco; Naboko, Sergey The finite section method for dissipative operators. (English) Zbl 1297.47031 Mathematika 60, No. 2, 415-443 (2014). MSC: 47B36 34L05 34L15 34L40 47E05 PDFBibTeX XMLCite \textit{M. Marletta} and \textit{S. Naboko}, Mathematika 60, No. 2, 415--443 (2014; Zbl 1297.47031) Full Text: DOI
Sun, Huaqing; Ren, Guojing \(J\)-self-adjoint extensions for second-order linear difference equations with complex coefficients. (English) Zbl 1365.39011 Adv. Difference Equ. 2013, Paper No. 3, 26 p. (2013). MSC: 39A70 47A06 PDFBibTeX XMLCite \textit{H. Sun} and \textit{G. Ren}, Adv. Difference Equ. 2013, Paper No. 3, 26 p. (2013; Zbl 1365.39011) Full Text: DOI
Xie, Bing; Guo, Xinwei; Qi, Jiangang Classification of non-symmetric Sturm-Liouville systems and operator realizations. (English) Zbl 1278.34023 Acta Appl. Math. 125, No. 1, 27-47 (2013). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 34B24 34B20 PDFBibTeX XMLCite \textit{B. Xie} et al., Acta Appl. Math. 125, No. 1, 27--47 (2013; Zbl 1278.34023) Full Text: DOI
Sun, Huaqing; Qi, Jiangang Criteria of the three cases for non-self-adjoint singular Sturm-Liouville difference equations. (English) Zbl 1263.39011 J. Difference Equ. Appl. 18, No. 12, 2069-2087 (2012). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A12 39A10 34B24 34C07 PDFBibTeX XMLCite \textit{H. Sun} and \textit{J. Qi}, J. Difference Equ. Appl. 18, No. 12, 2069--2087 (2012; Zbl 1263.39011) Full Text: DOI
Marletta, Marco; Scheichl, Rob Eigenvalues in spectral gaps of differential operators. (English) Zbl 1256.65079 J. Spectr. Theory 2, No. 3, 293-320 (2012). Reviewer: Kevin Burrage (Brisbane) MSC: 65L15 34L40 PDFBibTeX XMLCite \textit{M. Marletta} and \textit{R. Scheichl}, J. Spectr. Theory 2, No. 3, 293--320 (2012; Zbl 1256.65079) Full Text: DOI
Sun, Huaqing; Qi, Jiangang The theory for \(J\)-Hermitian subspaces in a product space. (English) Zbl 1264.47007 ISRN Math. Anal. 2012, Article ID 676835, 16 p. (2012). Reviewer: Stefan Hilger (Eichstätt) MSC: 47A07 47A20 47B25 PDFBibTeX XMLCite \textit{H. Sun} and \textit{J. Qi}, ISRN Math. Anal. 2012, Article ID 676835, 16 p. (2012; Zbl 1264.47007) Full Text: DOI
Qi, Jiangang; Zheng, Zhaowen; Sun, Huaqing Classification of Sturm-Liouville differential equations with complex coefficients and operator realizations. (English) Zbl 1228.34045 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2131, 1835-1850 (2011). MSC: 34B20 34B24 34L15 47E05 PDFBibTeX XMLCite \textit{J. Qi} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 467, No. 2131, 1835--1850 (2011; Zbl 1228.34045) Full Text: DOI
Xie, Bing; Qi, Jian Gang Sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients. (English) Zbl 1241.34031 Abstr. Appl. Anal. 2011, Article ID 340796, 15 p. (2011). Reviewer: J. B. Butler jun. (Portland) MSC: 34B24 34C40 34B20 PDFBibTeX XMLCite \textit{B. Xie} and \textit{J. G. Qi}, Abstr. Appl. Anal. 2011, Article ID 340796, 15 p. (2011; Zbl 1241.34031) Full Text: DOI
Sun, Huaqing; Qi, Jiangang; Jing, Haibin Classification of non-self-adjoint singular Sturm-Liouville difference equations. (English) Zbl 1228.39006 Appl. Math. Comput. 217, No. 20, 8020-8030 (2011). Reviewer: Sui Sun Cheng (Hsinchu) MSC: 39A12 39A06 39A22 34B24 PDFBibTeX XMLCite \textit{H. Sun} et al., Appl. Math. Comput. 217, No. 20, 8020--8030 (2011; Zbl 1228.39006) Full Text: DOI
Anderson, Douglas R. Titchmarsh-Sims-Weyl theory for complex Hamiltonian systems on Sturmian time scales. (English) Zbl 1205.34125 J. Math. Anal. Appl. 373, No. 2, 709-725 (2011). MSC: 34N05 34B20 PDFBibTeX XMLCite \textit{D. R. Anderson}, J. Math. Anal. Appl. 373, No. 2, 709--725 (2011; Zbl 1205.34125) Full Text: DOI arXiv
Sun, Huaqing; Qi, Jiangang On classification of second-order differential equations with complex coefficients. (English) Zbl 1252.34033 J. Math. Anal. Appl. 372, No. 2, 585-597 (2010). MSC: 34B20 34B24 PDFBibTeX XMLCite \textit{H. Sun} and \textit{J. Qi}, J. Math. Anal. Appl. 372, No. 2, 585--597 (2010; Zbl 1252.34033) Full Text: DOI
Monaquel, Shatha Jameel; Schmidt, Karl Michael On \(M\)-functions and operator theory for non-self-adjoint discrete Hamiltonian systems. (English) Zbl 1127.39045 J. Comput. Appl. Math. 208, No. 1, 82-101 (2007). Reviewer: Bilender P. Allahverdiev (Isparta) MSC: 39A70 39A12 47B39 37J05 PDFBibTeX XMLCite \textit{S. J. Monaquel} and \textit{K. M. Schmidt}, J. Comput. Appl. Math. 208, No. 1, 82--101 (2007; Zbl 1127.39045) Full Text: DOI
Qi, Jiangang Limit-point criteria for semi-degenerate singular Hamiltonian differential systems with perturbation terms. (English) Zbl 1143.34018 J. Math. Anal. Appl. 334, No. 2, 983-997 (2007). Reviewer: Sergei A. Mazanik (Minsk) MSC: 34B20 PDFBibTeX XMLCite \textit{J. Qi}, J. Math. Anal. Appl. 334, No. 2, 983--997 (2007; Zbl 1143.34018) Full Text: DOI
Serebryakov, V. P. \(L^2\)-properties of solutions and ranks of radii of the limit matrix circles for nonselfadjoint systems of differential equations. (English) Zbl 1128.34004 Russ. J. Math. Phys. 13, No. 1, 79-93 (2006). Reviewer: Alan L. Andrew (Bundoora) MSC: 34A30 34B20 PDFBibTeX XMLCite \textit{V. P. Serebryakov}, Russ. J. Math. Phys. 13, No. 1, 79--93 (2006; Zbl 1128.34004) Full Text: DOI
Wilson, Robert Howard Non-self-adjoint difference operators and their spectrum. (English) Zbl 1145.47303 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2057, 1505-1531 (2005). MSC: 47B39 39A70 47A10 PDFBibTeX XMLCite \textit{R. H. Wilson}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 461, No. 2057, 1505--1531 (2005; Zbl 1145.47303) Full Text: DOI
Kong, Q.; Wu, H.; Zettl, A. Singular left-definite Sturm–Liouville problems. (English) Zbl 1058.34029 J. Differ. Equations 206, No. 1, 1-29 (2004). Reviewer: Kazushi Yoshitomi (Tokyo) MSC: 34B24 34L05 34L15 PDFBibTeX XMLCite \textit{Q. Kong} et al., J. Differ. Equations 206, No. 1, 1--29 (2004; Zbl 1058.34029) Full Text: DOI
Marletta, M. Eigenvalue problems on exterior domains and Dirichlet to Neumann maps. (English) Zbl 1055.65093 J. Comput. Appl. Math. 171, No. 1-2, 367-391 (2004). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65L15 34L16 65N25 34L40 35P15 35J10 34B24 PDFBibTeX XMLCite \textit{M. Marletta}, J. Comput. Appl. Math. 171, No. 1--2, 367--391 (2004; Zbl 1055.65093) Full Text: DOI
Bennewitz, C.; Brown, B. M. A limit point criterion with applications to nonselfadjoint equations. (English) Zbl 1019.34037 J. Comput. Appl. Math. 148, No. 1, 257-265 (2002). MSC: 34C05 PDFBibTeX XMLCite \textit{C. Bennewitz} and \textit{B. M. Brown}, J. Comput. Appl. Math. 148, No. 1, 257--265 (2002; Zbl 1019.34037) Full Text: DOI
Brown, B. M.; Peacock, R. A.; Weikard, R. A local Borg-Marchenko theorem for complex potentials. (English) Zbl 1019.34025 J. Comput. Appl. Math. 148, No. 1, 115-131 (2002). MSC: 34B20 34L40 PDFBibTeX XMLCite \textit{B. M. Brown} et al., J. Comput. Appl. Math. 148, No. 1, 115--131 (2002; Zbl 1019.34025) Full Text: DOI