Big-Alabo, Akuro; Ossia, Chinwuba Victor; Ekpruke, Emmanuel Ogheneochuko Exact analytical solution of a mechanical oscillator for phase transition involving spatially inhomogeneous distribution of the order parameter. (English) Zbl 1481.34004 Math. Methods Appl. Sci. 44, No. 16, 12317-12331 (2021). MSC: 34A05 34C15 34C25 33C75 PDFBibTeX XMLCite \textit{A. Big-Alabo} et al., Math. Methods Appl. Sci. 44, No. 16, 12317--12331 (2021; Zbl 1481.34004) Full Text: DOI
Beléndez, Augusto; Arribas, Enrique; Beléndez, Tarsicio; Pascual, Carolina; Gimeno, Encarnación; Álvarez, Mariela L. Closed-form exact solutions for the unforced quintic nonlinear oscillator. (English) Zbl 1401.34002 Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017). MSC: 34A05 34C15 34C25 PDFBibTeX XMLCite \textit{A. Beléndez} et al., Adv. Math. Phys. 2017, Article ID 7396063, 14 p. (2017; Zbl 1401.34002) Full Text: DOI
Hasanov Hasanoğlu, Alemdar; Romanov, Vladimir G. Introduction to inverse problems for differential equations. (English) Zbl 1385.65053 Cham: Springer (ISBN 978-3-319-62796-0/hbk; 978-3-319-62797-7/ebook). xiii, 261 p. (2017). Reviewer: Robert Plato (Siegen) MSC: 65M32 65R20 35-02 34A55 35R30 44A12 47A52 47J06 47J25 65N21 78A46 80A23 35Q61 65-02 65J22 65J20 PDFBibTeX XMLCite \textit{A. Hasanov Hasanoğlu} and \textit{V. G. Romanov}, Introduction to inverse problems for differential equations. Cham: Springer (2017; Zbl 1385.65053) Full Text: DOI
Aisagaliev, S. A.; Kalimoldaev, M. N. Constructive method for solving a boundary value problem for ordinary differential equations. (English. Russian original) Zbl 1322.34032 Differ. Equ. 51, No. 2, 149-162 (2015); translation from Differ. Uravn. 51, No. 2, 147-160 (2015). MSC: 34B15 34A45 49J15 45D05 PDFBibTeX XMLCite \textit{S. A. Aisagaliev} and \textit{M. N. Kalimoldaev}, Differ. Equ. 51, No. 2, 149--162 (2015; Zbl 1322.34032); translation from Differ. Uravn. 51, No. 2, 147--160 (2015) Full Text: DOI
Semenov, Èduard Ivanovich On the first integrals of the generalized Abel equation of the second kind of special form. (Russian. English summary) Zbl 1335.34006 Izv. Irkutsk. Gos. Univ., Ser. Mat. 7, 124-132 (2014). Reviewer: Klaus R. Schneider (Berlin) MSC: 34A05 34A34 34C20 PDFBibTeX XMLCite \textit{È. I. Semenov}, Izv. Irkutsk. Gos. Univ., Ser. Mat. 7, 124--132 (2014; Zbl 1335.34006)
Kadchenko, S. I. Numerical method for solving inverse spectral problems generated by perturbed self-adjoint operators. (Russian. English summary) Zbl 1320.65091 Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 5-11 (2013). MSC: 65J22 65J10 47A10 65Y20 45B05 45C05 34L16 65L15 PDFBibTeX XMLCite \textit{S. I. Kadchenko}, Vestn. Samar. Gos. Univ., Estestvennonauchn. Ser. 2013, No. 9(110), Part 1, 5--11 (2013; Zbl 1320.65091) Full Text: MNR
Wang, Na; Wang, Jihua; Xiao, Dongmei The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. (English) Zbl 1270.34058 J. Differ. Equations 254, No. 2, 323-341 (2013). Reviewer: Iliya Iliev (Sofia) MSC: 34C08 34C07 14K20 PDFBibTeX XMLCite \textit{N. Wang} et al., J. Differ. Equations 254, No. 2, 323--341 (2013; Zbl 1270.34058) Full Text: DOI
Kabanikhin, Sergey I. Inverse and ill-posed problems. Theory and applications. (English) Zbl 1247.65077 Inverse and Ill-Posed Problems Series 55. Berlin: de Gruyter (ISBN 978-3-11-022400-9/hbk; 978-3-11-022401-6/ebook). xv, 459 p. (2012). Reviewer: Robert Plato (Siegen) MSC: 65J22 65J20 34B24 35R25 35R30 45Q05 47A52 65F20 65F22 65M30 65M32 65N20 65N21 80A23 35K20 35K58 35J25 35L05 35L20 45G10 45B05 45D05 35Q61 44A12 65R10 65R30 65R32 35-02 45-02 65-02 34A55 PDFBibTeX XMLCite \textit{S. I. Kabanikhin}, Inverse and ill-posed problems. Theory and applications. Berlin: de Gruyter (2012; Zbl 1247.65077) Full Text: DOI
Menshikov, Yu. L. Inverse problems in nonclassical statements. (English) Zbl 1236.47009 Int. J. Pure Appl. Math. 67, No. 1, 79-96 (2011). Reviewer: Denis Sidorov (Irkutsk) MSC: 47A52 34A55 PDFBibTeX XMLCite \textit{Yu. L. Menshikov}, Int. J. Pure Appl. Math. 67, No. 1, 79--96 (2011; Zbl 1236.47009)
Shih, Shagi-Di; Chow, Shue-Sum Equivalence of \(n\)-point Gauss-Chebyshev rule and \(4n\)-point midpoint rule in computing the period of a Lotka-Volterra system. (English) Zbl 1130.41010 Adv. Comput. Math. 28, No. 1, 63-79 (2008). Reviewer: Adhemar Bultheel (Leuven) MSC: 41A55 34A34 33E30 92D25 34C15 PDFBibTeX XMLCite \textit{S.-D. Shih} and \textit{S.-S. Chow}, Adv. Comput. Math. 28, No. 1, 63--79 (2008; Zbl 1130.41010) Full Text: DOI
Rashed, M. T. Numerical solution of functional differential, integral and integro-differential equations. (English) Zbl 1061.65146 Appl. Math. Comput. 156, No. 2, 485-492 (2004). MSC: 65R20 65L05 34K28 45J05 45D05 PDFBibTeX XMLCite \textit{M. T. Rashed}, Appl. Math. Comput. 156, No. 2, 485--492 (2004; Zbl 1061.65146) Full Text: DOI
Haidar, Nassar H. S. WKB theory for sampled unfolding. (English) Zbl 1067.45004 Commun. Appl. Nonlinear Anal. 7, No. 3, 31-46 (2000). MSC: 45L05 34E20 41A60 PDFBibTeX XMLCite \textit{N. H. S. Haidar}, Commun. Appl. Nonlinear Anal. 7, No. 3, 31--46 (2000; Zbl 1067.45004)
Lavrent’ev, M. M.; Savel’ev, L. Ya. Theory of operators and ill-posed problems. Revised and updated version of ‘Linejnye operatory i nekorrektnye zadachi’. (Теория операторов и некорректные задачи.) (Russian) Zbl 0986.47011 Novosibirsk: Izdatel’stvo Instituta Matematiki Im. S. L. Soboleva SO RAN. 701 p. (1999). Reviewer: Michael Hitrik (Berkeley) MSC: 47A52 47-01 47A50 35R25 35R30 47A10 47B25 47H10 47J06 34A55 PDFBibTeX XMLCite \textit{M. M. Lavrent'ev} and \textit{L. Ya. Savel'ev}, Теория операторов и некорректные задачи (Russian). Revised and updated version of `Linejnye operatory i nekorrektnye zadachi'. Novosibirsk: Izdatel'stvo Instituta Matematiki Im. S. L. Soboleva SO RAN (1999; Zbl 0986.47011)
Groetsch, Charles W. Inverse problems in the mathematical sciences. (English) Zbl 0779.45001 Vieweg Mathematics for Scientists and Engineers. Braunschweig: Vieweg. v, 152 p. (1993). Reviewer: J.Appell (Würzburg) MSC: 45-02 45B05 65J20 65R30 45P05 35R25 34A55 35R30 PDFBibTeX XMLCite \textit{C. W. Groetsch}, Inverse problems in the mathematical sciences. Braunschweig: Vieweg (1993; Zbl 0779.45001)
Maas, Leo R. M. A closed form Green function describing diffusion in a strained flow field. (English) Zbl 0679.76098 SIAM J. Appl. Math. 49, No. 5, 1359-1373 (1989). MSC: 76R50 34A05 35C05 35C10 35C15 PDFBibTeX XMLCite \textit{L. R. M. Maas}, SIAM J. Appl. Math. 49, No. 5, 1359--1373 (1989; Zbl 0679.76098) Full Text: DOI
Mamonov, S. S. Determination of the number of limit cycles of the second kind for systems of differential equations. (Russian) Zbl 0656.34016 Differ. Uravn. 24, No. 6, 1076-1079 (1988). Reviewer: I.Foltyńska MSC: 34C05 PDFBibTeX XMLCite \textit{S. S. Mamonov}, Differ. Uravn. 24, No. 6, 1076--1079 (1988; Zbl 0656.34016)
Ershov, B. A. Solution of integral Volterra equation in the problem of unsteady motion of a thin wing. (English) Zbl 0628.76012 Leningr. Univ. Mech. Bull. 1987, No. 2, 23-27 (1987). MSC: 76B10 45D05 76G25 34A12 PDFBibTeX XMLCite \textit{B. A. Ershov}, Leningr. Univ. Mech. Bull. 1987, No. 2, 23--27 (1987; Zbl 0628.76012)
Ershov, B. A. On solution of the Volterra integral equation in the problem of unsteady motion of a thin wing. (Russian. English summary) Zbl 0621.76009 Vestn. Leningr. Univ., Ser. I 1987, No. 2, 59-62 (1987). MSC: 76B10 76G25 45D05 34A12 PDFBibTeX XMLCite \textit{B. A. Ershov}, Vestn. Leningr. Univ., Ser. I 1987, No. 2, 59--62 (1987; Zbl 0621.76009)
Skorobogat’ko, V. Ya. Relation of a first kind integral equation with a multipoint boundary value problem for a high order ordinary differential equation. (Russian. English summary) Zbl 0608.65090 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 5, 66-68 (1986). Reviewer: K.Najzar MSC: 65R20 65L10 45B05 34B10 86A20 PDFBibTeX XMLCite \textit{V. Ya. Skorobogat'ko}, Dokl. Akad. Nauk Ukr. SSR, Ser. A 1986, No. 5, 66--68 (1986; Zbl 0608.65090)
Dudinskij, V. I. Torsion of an elastic nonhomogeneous half-space by a circular die. (English. Russian original) Zbl 0575.73117 Sov. Appl. Mech. 20, 913-917 (1984); translation from Prikl. Mekh., Kiev 20, No. 10, 36-40 (1984). MSC: 74A55 74M15 74E05 34A05 PDFBibTeX XMLCite \textit{V. I. Dudinskij}, Sov. Appl. Mech. 20, 913--917 (1984; Zbl 0575.73117); translation from Prikl. Mekh., Kiev 20, No. 10, 36--40 (1984) Full Text: DOI
Imanaliev, M. I.; Pankov, P. S. A generalized solution of an integral equation of the first kind. (Russian) Zbl 0432.45002 Differ. Uravn. 16, 937-940 (1980). MSC: 45B05 34A25 PDFBibTeX XMLCite \textit{M. I. Imanaliev} and \textit{P. S. Pankov}, Differ. Uravn. 16, 937--940 (1980; Zbl 0432.45002)
Babeshko, V. A.; Veksler, V. E. On some systems of integral equations of the first kind occuring in elasticity and mathematical physics. (Russian) Zbl 0438.45005 Izv. Akad. Nauk Arm. SSR, Mekh. 31, No. 5, 20-31 (1978). MSC: 45F05 34L99 74B99 74H99 PDFBibTeX XMLCite \textit{V. A. Babeshko} and \textit{V. E. Veksler}, Izv. Akad. Nauk Arm. SSR, Mekh. 31, No. 5, 20--31 (1978; Zbl 0438.45005)
Raspopova, N. S. Regularization of integral equations of the first kind with a Green’s kernel. (Russian) Zbl 0436.45020 Mat. Zap., Sverdl. 9, No. 4, 74-77 (1975). MSC: 45L05 45B05 34B27 PDFBibTeX XMLCite \textit{N. S. Raspopova}, Mat. Zap., Sverdl. 9, No. 4, 74--77 (1975; Zbl 0436.45020)