Aydemir, Kadriye Green’s function and Carleman’s formula for transmission problems. (English) Zbl 1511.34032 Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3277-3291 (2022). Reviewer: Ekin Uğurlu (Ankara) MSC: 34B24 34B27 34L10 34A36 PDFBibTeX XMLCite \textit{K. Aydemir}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 6, 3277--3291 (2022; Zbl 1511.34032) Full Text: DOI
Gutiérrez-Pavón, Jonathan; Pacheco, Carlos G. The killed Brox diffusion. (English) Zbl 1520.60064 Stoch. Models 38, No. 4, 582-604 (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60K37 60H25 34L10 45C05 PDFBibTeX XMLCite \textit{J. Gutiérrez-Pavón} and \textit{C. G. Pacheco}, Stoch. Models 38, No. 4, 582--604 (2022; Zbl 1520.60064) Full Text: DOI arXiv
Allahverdiev, Bilender P.; Tuna, Hüseyin Impulsive Sturm-Liouville problems on time scales. (English) Zbl 1513.34366 Facta Univ., Ser. Math. Inf. 37, No. 3, 651-666 (2022). MSC: 34N05 34L10 47A10 47B25 34B24 34B37 34B27 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} and \textit{H. Tuna}, Facta Univ., Ser. Math. Inf. 37, No. 3, 651--666 (2022; Zbl 1513.34366) Full Text: DOI
Kulaev, Ruslan The qualitative theory of fourth-order differential equations on a graph. (English) Zbl 1494.34111 Mediterr. J. Math. 19, No. 2, Paper No. 73, 16 p. (2022). Reviewer: Guy Katriel (Haifa) MSC: 34B45 34C10 34B27 34B24 34L10 PDFBibTeX XMLCite \textit{R. Kulaev}, Mediterr. J. Math. 19, No. 2, Paper No. 73, 16 p. (2022; Zbl 1494.34111) Full Text: DOI
Takhtajan, Leon A. Trace formulas for the modified Mathieu equation. (English) Zbl 1515.47060 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 427-443 (2021). MSC: 47B93 47E05 34E05 PDFBibTeX XMLCite \textit{L. A. Takhtajan}, in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 427--443 (2021; Zbl 1515.47060) Full Text: DOI arXiv
Mosazadeh, Seyfollah Inverse Sturm-Liouville problems with two supplementary discontinuous conditions on two symmetric disjoint intervals. (English) Zbl 1474.34089 Comput. Methods Differ. Equ. 9, No. 1, 244-257 (2021). MSC: 34A55 34L10 34B24 34L20 PDFBibTeX XMLCite \textit{S. Mosazadeh}, Comput. Methods Differ. Equ. 9, No. 1, 244--257 (2021; Zbl 1474.34089) Full Text: DOI
Gesztesy, Fritz; Zinchenko, Maxim Eigenvectors from eigenvalues: the case of one-dimensional Schrödinger operators. (English) Zbl 1460.34033 Ann. Funct. Anal. 12, No. 1, Paper No. 5, 12 p. (2021). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34B24 34B27 34L15 34L40 47A10 34L10 PDFBibTeX XMLCite \textit{F. Gesztesy} and \textit{M. Zinchenko}, Ann. Funct. Anal. 12, No. 1, Paper No. 5, 12 p. (2021; Zbl 1460.34033) Full Text: DOI arXiv
Habermann, Karen Asymptotic error in the eigenfunction expansion for the Green’s function of a Sturm-Liouville problem. arXiv:2109.10887 Preprint, arXiv:2109.10887 [math.CA] (2021). MSC: 34B24 34B27 34E05 33C45 41A25 60F05 BibTeX Cite \textit{K. Habermann}, ``Asymptotic error in the eigenfunction expansion for the Green's function of a Sturm-Liouville problem'', Preprint, arXiv:2109.10887 [math.CA] (2021) Full Text: arXiv OA License
Kal’menov, T. Sh.; Kakharman, N.; Sadybekov, M. A. About root functions of periodic Sturm-Liouville problem with symmetric potential. (English) Zbl 1488.34473 Kazakh Math. J. 19, No. 1, 31-38 (2019). MSC: 34L10 34B24 PDFBibTeX XMLCite \textit{T. Sh. Kal'menov} et al., Kazakh Math. J. 19, No. 1, 31--38 (2019; Zbl 1488.34473)
Mukhtarov, O. Sh.; Aydemir, K. Basis properties of the eigenfunctions of two-interval Sturm-Liouville problems. (English) Zbl 1434.34074 Anal. Math. Phys. 9, No. 3, 1363-1382 (2019). MSC: 34L10 34B24 34B27 34L20 34L15 PDFBibTeX XMLCite \textit{O. Sh. Mukhtarov} and \textit{K. Aydemir}, Anal. Math. Phys. 9, No. 3, 1363--1382 (2019; Zbl 1434.34074) Full Text: DOI
Allahverdiev, Bilender P.; Tuna, Hüseyin; Yalçinkaya, Yüksel Conformable fractional Sturm-Liouville equation. (English) Zbl 1419.34008 Math. Methods Appl. Sci. 42, No. 10, 3508-3526 (2019). MSC: 34A08 34L10 47A10 47B25 34B24 34B27 PDFBibTeX XMLCite \textit{B. P. Allahverdiev} et al., Math. Methods Appl. Sci. 42, No. 10, 3508--3526 (2019; Zbl 1419.34008) Full Text: DOI
Mukhtarov, Oktay Sh.; Aydemir, Kadriye Minimization principle and generalized Fourier series for discontinuous Sturm-Liouville systems in direct sum spaces. (English) Zbl 1461.34051 J. Appl. Anal. Comput. 8, No. 5, 1511-1523 (2018). MSC: 34B24 34B27 34L15 34L10 PDFBibTeX XMLCite \textit{O. Sh. Mukhtarov} and \textit{K. Aydemir}, J. Appl. Anal. Comput. 8, No. 5, 1511--1523 (2018; Zbl 1461.34051) Full Text: DOI
Han, Hongmei Sturm-Liouville problems with discontinuities at two interior points. (English) Zbl 1463.34119 J. Indian Math. Soc., New Ser. 85, No. 1-2, 70-91 (2018). MSC: 34B24 47E05 34L10 34L15 34B27 PDFBibTeX XMLCite \textit{H. Han}, J. Indian Math. Soc., New Ser. 85, No. 1--2, 70--91 (2018; Zbl 1463.34119) Full Text: DOI
Balkanova, Olga; Frolenkov, Dmitry The mean value of symmetric square \(L\)-functions. (English) Zbl 1445.11039 Algebra Number Theory 12, No. 1, 35-59 (2018). MSC: 11F66 33C05 34E05 34E20 PDFBibTeX XMLCite \textit{O. Balkanova} and \textit{D. Frolenkov}, Algebra Number Theory 12, No. 1, 35--59 (2018; Zbl 1445.11039) Full Text: DOI arXiv
Aydemir, K.; Mukhtarov, O. Sh. Generalized Fourier series as Green’s function expansion for multi-interval Sturm-Liouville systems. (English) Zbl 1378.34043 Mediterr. J. Math. 14, No. 3, Paper No. 100, 17 p. (2017). MSC: 34B24 34B27 34L10 34L15 47A10 PDFBibTeX XMLCite \textit{K. Aydemir} and \textit{O. Sh. Mukhtarov}, Mediterr. J. Math. 14, No. 3, Paper No. 100, 17 p. (2017; Zbl 1378.34043) Full Text: DOI
King, J. R.; O’Dea, R. D. Pushed and pulled fronts in a discrete reaction-diffusion equation. (English) Zbl 1365.34098 J. Eng. Math. 102, 89-116 (2017). MSC: 34E05 34E20 35A18 35C07 35C20 74J30 PDFBibTeX XMLCite \textit{J. R. King} and \textit{R. D. O'Dea}, J. Eng. Math. 102, 89--116 (2017; Zbl 1365.34098) Full Text: DOI
Aydemir, Kadriye; Mukhtarov, Oktay Sh. Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions. (English) Zbl 1419.34105 Adv. Difference Equ. 2016, Paper No. 76, 14 p. (2016). MSC: 34B24 34L10 47E05 34B27 34L20 PDFBibTeX XMLCite \textit{K. Aydemir} and \textit{O. Sh. Mukhtarov}, Adv. Difference Equ. 2016, Paper No. 76, 14 p. (2016; Zbl 1419.34105) Full Text: DOI
Bensidhoum, Fatima-Zahra; Dib, Hacen On some regular fractional Sturm-Liouville problems with generalized Dirichlet conditions. (English) Zbl 1358.34035 J. Integral Equations Appl. 28, No. 4, 459-480 (2016). MSC: 34B24 34A08 34B27 34L05 34L10 34L15 47G10 PDFBibTeX XMLCite \textit{F.-Z. Bensidhoum} and \textit{H. Dib}, J. Integral Equations Appl. 28, No. 4, 459--480 (2016; Zbl 1358.34035) Full Text: DOI Euclid
Aydemir, Kadriye Courant’s minimax principle for two-interval boundary-value problems with interaction conditions. (English) Zbl 1352.34036 Contemp. Anal. Appl. Math. 4, No. 1, 70-83 (2016). MSC: 34B24 34B27 34L10 58E50 PDFBibTeX XMLCite \textit{K. Aydemir}, Contemp. Anal. Appl. Math. 4, No. 1, 70--83 (2016; Zbl 1352.34036)
Şen, Erdoğan; Mukhtarov, O. Sh. Spectral properties of discontinuous Sturm-Liouville problems with a finite number of transmission conditions. (English) Zbl 1347.34047 Mediterr. J. Math. 13, No. 1, 153-170 (2016). Reviewer: Shlomo Carmi (Baltimore) MSC: 34B24 34B27 34L10 34L20 47E05 34L15 PDFBibTeX XMLCite \textit{E. Şen} and \textit{O. Sh. Mukhtarov}, Mediterr. J. Math. 13, No. 1, 153--170 (2016; Zbl 1347.34047) Full Text: DOI
Shi, Juanrong A class of singularly perturbed problems for larger parameter with turning point of \(n\)-th order. (Chinese. English summary) Zbl 1349.34228 J. Northwest Univ., Nat. Sci. Ed. 45, No. 5, 699-702 (2015). MSC: 34E05 34E20 PDFBibTeX XMLCite \textit{J. Shi}, J. Northwest Univ., Nat. Sci. Ed. 45, No. 5, 699--702 (2015; Zbl 1349.34228) Full Text: DOI
Shi, Juanrong Asymptotic solutions of singularly perturbed equations for large parameter with turning point of \(n\)-th order. (English) Zbl 1349.34227 Chin. J. Eng. Math. 32, No. 6, 920-926 (2015). MSC: 34E05 34E20 PDFBibTeX XMLCite \textit{J. Shi}, Chin. J. Eng. Math. 32, No. 6, 920--926 (2015; Zbl 1349.34227) Full Text: DOI
Mukhtarov, Oktay Sh.; Aydemir, Kadriye Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point. (English) Zbl 1340.34333 Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 639-649 (2015). MSC: 34L10 34B24 34B27 PDFBibTeX XMLCite \textit{O. Sh. Mukhtarov} and \textit{K. Aydemir}, Acta Math. Sci., Ser. B, Engl. Ed. 35, No. 3, 639--649 (2015; Zbl 1340.34333) Full Text: DOI
Hıra, Fatma; Altınışık, Nihat Sturm-Liouville problem with moving discontinuity points. (English) Zbl 1332.34049 Bound. Value Probl. 2015, Paper No. 237, 20 p. (2015). MSC: 34B24 34B09 34L10 34B27 PDFBibTeX XMLCite \textit{F. Hıra} and \textit{N. Altınışık}, Bound. Value Probl. 2015, Paper No. 237, 20 p. (2015; Zbl 1332.34049) Full Text: DOI arXiv
Mu, Dan; Sun, Jiong; Yao, Siqin A modified Parseval equality of Sturm-Liouville problem on two-interval. (English) Zbl 1324.34060 Math. Appl. 27, No. 4, 827-843 (2014). MSC: 34B24 34B27 34L20 34L15 34L10 PDFBibTeX XMLCite \textit{D. Mu} et al., Math. Appl. 27, No. 4, 827--843 (2014; Zbl 1324.34060)
Han, Xianglin; Li, Huang; Ouyang, Cheng A class of singularly perturbed equations for large parameters with three turning points. (Chinese. English summary) Zbl 1324.34111 Acta Math. Appl. Sin. 37, No. 4, 687-695 (2014). MSC: 34E05 34E20 PDFBibTeX XMLCite \textit{X. Han} et al., Acta Math. Appl. Sin. 37, No. 4, 687--695 (2014; Zbl 1324.34111)
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald Supersymmetry and Schrödinger-type operators with distributional matrix-valued potentials. (English) Zbl 1320.34116 J. Spectr. Theory 4, No. 4, 715-768 (2014). Reviewer: Erdogan Sen (Tekirdağ) MSC: 34L40 34B20 34B24 34L05 34B27 34L10 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., J. Spectr. Theory 4, No. 4, 715--768 (2014; Zbl 1320.34116) Full Text: DOI arXiv
Aydemir, Kadriye; Muhtarov, Fahrettin S. Modified Parseval and Carleman equalities for Sturm-Liouville problems with interior singularities. (English) Zbl 1304.34051 Contemp. Anal. Appl. Math. 2, No. 1, 78-87 (2014). MSC: 34B24 34B27 34A25 PDFBibTeX XMLCite \textit{K. Aydemir} and \textit{F. S. Muhtarov}, Contemp. Anal. Appl. Math. 2, No. 1, 78--87 (2014; Zbl 1304.34051)
Geronimo, Jeffrey S.; Smith, Dale T. Corrigendum to “WKB (Liouville-Green) analysis of second order difference equations and applications” [J. Approx. Theory 69 (1992) 269-301]. (English) Zbl 1301.41023 J. Approx. Theory 188, 69-70 (2014). MSC: 41A60 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{D. T. Smith}, J. Approx. Theory 188, 69--70 (2014; Zbl 1301.41023) Full Text: DOI
Yarza, Sergio; Ongay, Fausto On the geometry of the Jost soultions for \(n\)th order Sturm-Liouville problems on the line. (English) Zbl 1308.34114 Far East J. Math. Sci. (FJMS) 84, No. 2, 149-167 (2014). Reviewer: Shlomo Carmi (Baltimore) MSC: 34L10 34A30 34L15 47E05 34B09 34B24 PDFBibTeX XMLCite \textit{S. Yarza} and \textit{F. Ongay}, Far East J. Math. Sci. (FJMS) 84, No. 2, 149--167 (2014; Zbl 1308.34114) Full Text: Link
Benedek, A.; Panzone, R. The distribution of the eigenvalues of the Dirichlet problem of the two-dimensional Sturm-Liouville differential operator. II. Some associated Dirichlet series. (La distribución de los autovalores del problema de Dirichlet del operador diferencial bidimensional de Sturm-Liouville. II. Algunas series de Dirichlet asociadas.) (Spanish) Zbl 1296.35002 Notas de Álgebra y Análisis 23. Bahia Blanca: Universidad Nacional del Sur, Instituto de Matemática. iv, 63 p. (2013). Reviewer: Jesús Hernández (Madrid) MSC: 35-02 35P20 35P15 35P10 35J25 35J05 PDFBibTeX XMLCite \textit{A. Benedek} and \textit{R. Panzone}, La distribución de los autovalores del problema de Dirichlet del operador diferencial bidimensional de Sturm-Liouville. II. Algunas series de Dirichlet asociadas (Spanish). Bahia Blanca: Universidad Nacional del Sur, Instituto de Matemática (2013; Zbl 1296.35002)
Dunster, T. M. Conical functions of purely imaginary order and argument. (English) Zbl 1307.34090 Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 5, 929-955 (2013). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 34E05 34A30 PDFBibTeX XMLCite \textit{T. M. Dunster}, Proc. R. Soc. Edinb., Sect. A, Math. 143, No. 5, 929--955 (2013; Zbl 1307.34090) Full Text: DOI
Eckhardt, Jonathan; Gesztesy, Fritz; Nichols, Roger; Teschl, Gerald Weyl-Titchmarsh theory for Sturm-Liouville operators with distributional potentials. (English) Zbl 1283.34022 Opusc. Math. 33, No. 3, 467-563 (2013). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 34B20 34B24 34L05 34B27 34L10 34L40 47E05 PDFBibTeX XMLCite \textit{J. Eckhardt} et al., Opusc. Math. 33, No. 3, 467--563 (2013; Zbl 1283.34022) Full Text: DOI arXiv
Gao, Pengfei; Yao, Siqin; Sun, Jiong The Sturm-Liouville operators with transmission conditions and eigenparameter-dependent boundary conditions. (Chinese. English summary) Zbl 1265.34107 Acta Math. Appl. Sin. 35, No. 1, 156-167 (2012). MSC: 34B24 34L15 34L40 34L10 PDFBibTeX XMLCite \textit{P. Gao} et al., Acta Math. Appl. Sin. 35, No. 1, 156--167 (2012; Zbl 1265.34107)
Yang, Qiuxia; Wang, Wanyi Asymptotic behavior of a differential operator with discontinuities at two points. (English) Zbl 1220.34043 Math. Methods Appl. Sci. 34, No. 4, 373-383 (2011). Reviewer: Petr Zemanek (Brno) MSC: 34B24 34L10 34L15 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{W. Wang}, Math. Methods Appl. Sci. 34, No. 4, 373--383 (2011; Zbl 1220.34043) Full Text: DOI
Faydaoğlu, Şerife; Guseinov, Gusein Sh. An expansion result for a Sturm-Liouville eigenvalue problem with impulse. (English) Zbl 1204.34112 Turk. J. Math. 34, No. 3, 355-366 (2010). Reviewer: Mihai Pascu (Bucureşti) MSC: 34L10 34B24 47A75 PDFBibTeX XMLCite \textit{Ş. Faydaoğlu} and \textit{G. Sh. Guseinov}, Turk. J. Math. 34, No. 3, 355--366 (2010; Zbl 1204.34112)
Du, Zengji; Kong, Lingju Asymptotic solutions of singularly perturbed second-order differential equations and application to multi-point boundary value problems. (English) Zbl 1200.34061 Appl. Math. Lett. 23, No. 9, 980-983 (2010). MSC: 34E15 34B15 34C20 34E05 PDFBibTeX XMLCite \textit{Z. Du} and \textit{L. Kong}, Appl. Math. Lett. 23, No. 9, 980--983 (2010; Zbl 1200.34061) Full Text: DOI
Annaby, M. H.; Hassan, H. A.; El-Haddad, O. H. Perturbed discrete Sturm-Liouville problems and associated sampling theorems. (English) Zbl 1191.39004 Rocky Mt. J. Math. 39, No. 6, 1781-1807 (2009). Reviewer: Stefan Hilger (Eichstätt) MSC: 39A12 39A70 94A20 34L10 PDFBibTeX XMLCite \textit{M. H. Annaby} et al., Rocky Mt. J. Math. 39, No. 6, 1781--1807 (2009; Zbl 1191.39004) Full Text: DOI
Huseynov, Aydin; Bairamov, Elgiz On expansions in eigenfunctions for second order dynamic equations on time scales. (English) Zbl 1176.34107 Nonlinear Dyn. Syst. Theory 9, No. 1, 77-88 (2009). Reviewer: Yakov Yakubov (Tel-Aviv) MSC: 34L10 34B24 39A10 PDFBibTeX XMLCite \textit{A. Huseynov} and \textit{E. Bairamov}, Nonlinear Dyn. Syst. Theory 9, No. 1, 77--88 (2009; Zbl 1176.34107)
Fulton, Charles Titchmarsh-Weyl \(m\) -functions for second-order Sturm-Liouville problems with two singular endpoints. (English) Zbl 1165.34011 Math. Nachr. 281, No. 10, 1418-1475 (2008). Reviewer: Jussi Behrndt (Berlin) MSC: 34B20 34B24 34B27 34B30 34B40 34L10 34L40 33C15 35Q40 81Q05 PDFBibTeX XMLCite \textit{C. Fulton}, Math. Nachr. 281, No. 10, 1418--1475 (2008; Zbl 1165.34011) Full Text: DOI
Garg, Ramesh Analytical and computational methods in electromagnetics. With CD-ROM. (English) Zbl 1209.78001 Artech House Electromagnetic Analysis Series. Boston, MA: Artech House (ISBN 978-1-59693-385-9/hbk; 978-1-59693-386-6/ebook). xix, 528 p. (2008). Reviewer: Georg Hebermehl (Berlin) MSC: 78-02 78M05 78M10 78M20 78M30 78M25 35Q60 35L05 35J05 35P10 35A20 PDFBibTeX XMLCite \textit{R. Garg}, Analytical and computational methods in electromagnetics. With CD-ROM. Boston, MA: Artech House (2008; Zbl 1209.78001)
Guseinov, Gusein Sh. Eigenfunction expansions for a Sturm-Liouville problem on time scales. (English) Zbl 1145.39005 Int. J. Difference Equ. 2, No. 1, 93-104 (2007). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A12 34L10 34B24 PDFBibTeX XMLCite \textit{G. Sh. Guseinov}, Int. J. Difference Equ. 2, No. 1, 93--104 (2007; Zbl 1145.39005)
Shao, Sihong; Cai, Wei; Tang, Huazhong Accurate calculation of Green’s function of the Schrödinger equation in a block layered potential. (English) Zbl 1101.81055 J. Comput. Phys. 219, No. 2, 733-748 (2006). MSC: 81Q05 34L10 65N30 82D37 PDFBibTeX XMLCite \textit{S. Shao} et al., J. Comput. Phys. 219, No. 2, 733--748 (2006; Zbl 1101.81055) Full Text: DOI
Pinchover, Yehuda; Rubinstein, Jacob An introduction to partial differential equations. (English) Zbl 1065.35001 Cambridge: Cambridge University Press (ISBN 0-521-84886-5/hbk; 0-521-61323-X/pbk). xii, 371 p. (2005). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35-01 49-01 65Nxx PDFBibTeX XMLCite \textit{Y. Pinchover} and \textit{J. Rubinstein}, An introduction to partial differential equations. Cambridge: Cambridge University Press (2005; Zbl 1065.35001)
Al-Hammadi, A. S. A. Asymptotic formulae of Liouville–Green type for higher even-order equations. (English) Zbl 1085.34042 Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 643-652 (2005). Reviewer: Sergei A. Mazanik (Minsk) MSC: 34E05 34A30 PDFBibTeX XMLCite \textit{A. S. A. Al-Hammadi}, Commun. Nonlinear Sci. Numer. Simul. 10, No. 6, 643--652 (2005; Zbl 1085.34042) Full Text: DOI
Vu Hoang Linh On the high order asymptotic solution of certain wave equations. (English) Zbl 1057.34052 Miskolc Math. Notes 5, No. 1, 57-69 (2004). MSC: 34E05 34E20 34A30 PDFBibTeX XMLCite \textit{Vu Hoang Linh}, Miskolc Math. Notes 5, No. 1, 57--69 (2004; Zbl 1057.34052)
Faydaoglu, Şerife; Guseinov, Gusein Sh. Eigenfunction expansion for a Sturm-Liouville boundary value problem with impulse. (English) Zbl 1080.34013 Int. J. Pure Appl. Math. 8, No. 2, 137-170 (2003). Reviewer: Victor S. Rykhlov (Saratov) MSC: 34B37 34B24 34L10 PDFBibTeX XMLCite \textit{Ş. Faydaoglu} and \textit{G. Sh. Guseinov}, Int. J. Pure Appl. Math. 8, No. 2, 137--170 (2003; Zbl 1080.34013)
Dunster, T. M. Uniform asymptotic expansions for associated Legendre functions of large order. (English) Zbl 1055.33008 Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 4, 807-827 (2003). Reviewer: Marcel G. de Bruin (Delft) MSC: 33C45 41A60 PDFBibTeX XMLCite \textit{T. M. Dunster}, Proc. R. Soc. Edinb., Sect. A, Math. 133, No. 4, 807--827 (2003; Zbl 1055.33008) Full Text: DOI
Stepin, S. A.; Arzhanov, A. A. On the localization of the spectrum in a problem in singular perturbation theory. (English. Russian original) Zbl 1058.34116 Russ. Math. Surv. 57, No. 3, 608-610 (2002); translation from Usp. Mat. Nauk 57, No. 3, 161-162 (2002). Reviewer: E. V. Shchetinina (Samara) MSC: 34L20 34L40 34E15 PDFBibTeX XMLCite \textit{S. A. Stepin} and \textit{A. A. Arzhanov}, Russ. Math. Surv. 57, No. 3, 608--610 (2002; Zbl 1058.34116); translation from Usp. Mat. Nauk 57, No. 3, 161--162 (2002) Full Text: DOI
Richards, Derek Advanced mathematical methods with Maple. (English) Zbl 0987.65002 Cambridge: Cambridge University Press. xv, 862 p. (2002). Reviewer: Willy Govaerts (Gent) MSC: 65-01 65Dxx 65Lxx 68W30 65Txx 65Hxx 65Pxx PDFBibTeX XMLCite \textit{D. Richards}, Advanced mathematical methods with Maple. Cambridge: Cambridge University Press (2002; Zbl 0987.65002)
Gabutti, Bruno; Gatteschi, Luigi New asymptotics for the zeros of Whittaker’s functions. (English) Zbl 0989.33005 Numer. Algorithms 28, No. 1-4, 159-170 (2001). Reviewer: Sven Ehrich (Neuherberg) MSC: 33C15 65D20 33C10 41A60 PDFBibTeX XMLCite \textit{B. Gabutti} and \textit{L. Gatteschi}, Numer. Algorithms 28, No. 1--4, 159--170 (2001; Zbl 0989.33005) Full Text: DOI
Eberhard, Walter; Freiling, Gerhard; Wilcken-Stoeber, Kerstin Indefinite eigenvalue problems with several singular points and turning points. (English) Zbl 0996.34067 Math. Nachr. 229, 51-71 (2001). Reviewer: Brian D.Sleeman (Leeds) MSC: 34L20 34B24 34B27 34L10 PDFBibTeX XMLCite \textit{W. Eberhard} et al., Math. Nachr. 229, 51--71 (2001; Zbl 0996.34067) Full Text: DOI
Dunster, T. M. Uniform asymptotic expansions for the reverse generalized Bessel polynomials, and related functions. (English) Zbl 0983.33005 SIAM J. Math. Anal. 32, No. 5, 987-1013 (2001). Reviewer: N.M.Temme (Amsterdam) MSC: 33C15 33C10 34E20 PDFBibTeX XMLCite \textit{T. M. Dunster}, SIAM J. Math. Anal. 32, No. 5, 987--1013 (2001; Zbl 0983.33005) Full Text: DOI
Manakov, N. L.; Zapryagaev, S. A. Dirac-Coulomb problem in the second-order Dirac equation approach. (English) Zbl 0993.81013 Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2000, No. 1, 55-76 (2000). MSC: 81Q05 34B24 PDFBibTeX XMLCite \textit{N. L. Manakov} and \textit{S. A. Zapryagaev}, Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat. 2000, No. 1, 55--76 (2000; Zbl 0993.81013)
Snider, Arthur David Partial differential equations. Sources and solutions. (English) Zbl 0957.35001 Upper Saddle River, NJ: Prentice Hall. xi, 658 p. (1999). Reviewer: Ioan Vrabie (Iaşi) MSC: 35-01 PDFBibTeX XMLCite \textit{A. D. Snider}, Partial differential equations. Sources and solutions. Upper Saddle River, NJ: Prentice Hall (1999; Zbl 0957.35001)
Hagan, P. S.; Kłosek, M. M. Explicit half-range expansions for Sturm Liouville operators. (English) Zbl 0935.34021 Eur. J. Appl. Math. 10, No. 5, 447-475 (1999). MSC: 34B24 34L10 34B15 34B27 PDFBibTeX XMLCite \textit{P. S. Hagan} and \textit{M. M. Kłosek}, Eur. J. Appl. Math. 10, No. 5, 447--475 (1999; Zbl 0935.34021) Full Text: DOI
Saleh, S. A.; Allam, R. M. Regularized sum for eigenfunctions of multi-point problems of differential operators of fourth order. (English) Zbl 0930.34063 J. Egypt. Math. Soc. 6, No. 1, 39-54 (1998). MSC: 34L10 34B24 34B27 34L16 PDFBibTeX XMLCite \textit{S. A. Saleh} and \textit{R. M. Allam}, J. Egypt. Math. Soc. 6, No. 1, 39--54 (1998; Zbl 0930.34063)
Al-Hammadi, A. S. A. Asymptotic formulae of Liouville-Green type for a general fourth-order differential equation. (English) Zbl 0929.34043 Rocky Mt. J. Math. 28, No. 3, 801-812 (1998). Reviewer: Vassil Angelov (Sofia) MSC: 34E05 PDFBibTeX XMLCite \textit{A. S. A. Al-Hammadi}, Rocky Mt. J. Math. 28, No. 3, 801--812 (1998; Zbl 0929.34043) Full Text: DOI Link
Inayat-Hussain, A. A.; Zorzan, C. The Laplace transform and spectral representations of polynomial operator pencils. (English) Zbl 0813.47016 Proc. R. Soc. Lond., Ser. A 443, No. 1918, 333-342 (1993). MSC: 47A56 47A10 47A70 PDFBibTeX XMLCite \textit{A. A. Inayat-Hussain} and \textit{C. Zorzan}, Proc. R. Soc. Lond., Ser. A 443, No. 1918, 333--342 (1993; Zbl 0813.47016) Full Text: DOI
Dunster, T. M.; Lutz, D. A.; Schäfke, R. Convergent Liouville-Green expansions for second-order linear differential equations, with an application to Bessel functions. (English) Zbl 0798.34083 Proc. R. Soc. Lond., Ser. A 440, No. 1908, 37-54 (1993). Reviewer: Ch.Tretter (Regensburg) MSC: 34L10 33C10 PDFBibTeX XMLCite \textit{T. M. Dunster} et al., Proc. R. Soc. Lond., Ser. A 440, No. 1908, 37--54 (1993; Zbl 0798.34083) Full Text: DOI
Geronimo, Jeffrey S.; Smith, Dale T. WKB (Liouville-Green) analysis of second order difference equations and applications. (English) Zbl 0764.41030 J. Approximation Theory 69, No. 3, 269-301 (1992); corrigendum ibid. 188, 69-70 (2014). Reviewer: N.M.Temme (Amsterdam) MSC: 41A60 65L05 39A10 PDFBibTeX XMLCite \textit{J. S. Geronimo} and \textit{D. T. Smith}, J. Approx. Theory 69, No. 3, 269--301 (1992; Zbl 0764.41030) Full Text: DOI
Spigler, Renato; Vianello, Marco WKBJ-type approximation for finite moments perturbations of the differential equation \(y\)”=\(0\) and the analogous difference equation. (English) Zbl 0757.34045 J. Math. Anal. Appl. 169, No. 2, 437-452 (1992). MSC: 34E20 39A10 39A12 PDFBibTeX XMLCite \textit{R. Spigler} and \textit{M. Vianello}, J. Math. Anal. Appl. 169, No. 2, 437--452 (1992; Zbl 0757.34045) Full Text: DOI
Spigler, Renato; Vianello, Marco WKBJ-type approximation for finite moments perturbations of the differential equation \(y''=0\) and the analogous difference equation. (English) Zbl 0723.34041 J. Math. Anal. Appl. (to appear). Reviewer: R.Spigler (Padova) MSC: 34E20 39A10 39A12 PDFBibTeX XML
Horváth, Miklos Sur le développement spectral de l’opérateur de Schrödinger. (On the spectral expansion of the Schrödinger operator). (French) Zbl 0711.47027 C. R. Acad. Sci., Paris, Sér. I 311, No. 9, 499-502 (1990). MSC: 47F05 35J05 35J10 47A10 PDFBibTeX XMLCite \textit{M. Horváth}, C. R. Acad. Sci., Paris, Sér. I 311, No. 9, 499--502 (1990; Zbl 0711.47027)
Olver, F. Prudnikov, A. P. (ed.) Asymptotics and special functions. (Asimptotika i spetsial’nye funktsii). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. (Asimptotika i spetsial’nye funktsii.) (Russian) Zbl 0712.41006 Moskva: Nauka. 528 p. (1990). MSC: 41A60 41-02 33-02 34-02 34E05 PDFBibTeX XMLCite \textit{F. Olver} and \textit{A. P. Prudnikov} (ed.), Asimptotika i spetsial'nye funktsii (Russian). Transl. from the English by Yu. A. Brychkov. Transl. ed. by A. P. Prudnikov. Moskva: Nauka (1990; Zbl 0712.41006)
Marić, Vojislav; Topmić, Miodrag On Liouville Green (WKB) approximation for second order linear differential equations. (English) Zbl 0723.34039 Differ. Integral Equ. 1, No. 3, 299-304 (1988). MSC: 34E05 34E20 PDFBibTeX XMLCite \textit{V. Marić} and \textit{M. Topmić}, Differ. Integral Equ. 1, No. 3, 299--304 (1988; Zbl 0723.34039)
Lyubich, Yu. I. Linear functional analysis. (Russian) Zbl 0683.46001 Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 19, 5-305 (1988). Reviewer: J.Appell MSC: 46-02 47-02 47Axx 46Bxx 47B25 47D03 47F05 PDFBibTeX XMLCite \textit{Yu. I. Lyubich}, Itogi Nauki Tekh., Ser. Sovrem. Probl. Mat., Fundam. Napravleniya 19, 5--305 (1988; Zbl 0683.46001) Backlinks: MO
Eastham, M. S. P. The asymptotic solution of higher-order differential equations with small final coefficient. (English) Zbl 0676.34036 Port. Math. 45, No. 4, 351-362 (1988). Reviewer: J.Kalas MSC: 34E05 34A30 PDFBibTeX XMLCite \textit{M. S. P. Eastham}, Port. Math. 45, No. 4, 351--362 (1988; Zbl 0676.34036) Full Text: EuDML
Gingold, H. An invariant asymptotic formula for solutions of second-order linear ODE’s. (English) Zbl 0672.34051 Asymptotic Anal. 1, No. 4, 317-350 (1988). Reviewer: J.Kalas MSC: 34E05 34A30 34E20 PDFBibTeX XMLCite \textit{H. Gingold}, Asymptotic Anal. 1, No. 4, 317--350 (1988; Zbl 0672.34051)
Young, Nicholas An introduction to Hilbert space. (English) Zbl 0645.46024 Cambridge Mathematical Textbooks. Cambridge (UK) etc.: Cambridge University Press. 239 p. £9.95/pbk (1988). Reviewer: L.Janos MSC: 46C05 46-01 46C99 47B06 34L99 47B15 41A30 47A10 47A70 46B03 PDFBibTeX XMLCite \textit{N. Young}, An introduction to Hilbert space. Cambridge (UK) etc.: Cambridge University Press (1988; Zbl 0645.46024)
Castro, Rafael; Díaz, Gilberto Asymptotic solution of the problem of waves in the surface of a planar layer of rotating stratified liquid. (Spanish. English summary) Zbl 0668.35050 Rev. Cienc. Mat. 8, No. 1, 25-36 (1987). MSC: 35L05 35C20 35P05 PDFBibTeX XMLCite \textit{R. Castro} and \textit{G. Díaz}, Rev. Cienc. Mat. 8, No. 1, 25--36 (1987; Zbl 0668.35050)
Cassell, J. S. An extension of the Liouville-Green asymptotic formula for oscillatory second-order differential equations. (English) Zbl 0577.34048 Proc. R. Soc. Edinb., Sect. A 100, 181-190 (1985). MSC: 34E05 PDFBibTeX XMLCite \textit{J. S. Cassell}, Proc. R. Soc. Edinb., Sect. A, Math. 100, 181--190 (1985; Zbl 0577.34048) Full Text: DOI
Eastham, M. S. P. Transformations of differential equations, the Levinson asymptotic theorem and deficiency indices. (English) Zbl 0552.34052 Differential equations, Proc. Conf., Birmingham/Ala. 1983, North-Holland Math. Stud. 92, 155-164 (1984). MSC: 34E05 PDFBibTeX XML
Eastham, M. S. P. Asymptotic formulae of Liouville-Green type for higher-order differential equations. (English) Zbl 0532.34038 J. Lond. Math. Soc., II. Ser. 28, 507-518 (1983). MSC: 34E05 34C11 PDFBibTeX XMLCite \textit{M. S. P. Eastham}, J. Lond. Math. Soc., II. Ser. 28, 507--518 (1983; Zbl 0532.34038) Full Text: DOI
Eastham, M. S. P. The Liouville-Green asymptotic theory for second-order differential equations: a new approach and some extensions. (English) Zbl 0525.34045 Ordinary differential equations and operators, Attrib. to F. V. Atkinson, Proc. Symp., Dundee/Scotl. 1982, Lect. Notes Math. 1032, 110-122 (1983). MSC: 34E05 34L99 PDFBibTeX XML
Jänich, Klaus Analysis für Physiker und Ingenieure. Funktionentheorie, Differentialgleichungen, Spezielle Funktionen. Ein Lehrbuch für das zweite Studienjahr. (German) Zbl 0503.30001 Berlin-Heidelberg-New York: Springer-Verlag. XI, 419 S., 461 Fig. DM 64.00; $ 25.60 (1983). Reviewer: J.Lorenz MSC: 30-01 34-01 33-01 33C05 33C10 33C55 34A05 34L99 34B27 37-XX 34E05 35J05 35K05 35L05 30B10 30B40 30C80 30C20 30D30 PDFBibTeX XML
Lyashko, I. I.; Boyarchuk, A. K.; Gaj, Ya. G.; Kalajda, A. F. Differential equations. Textbook. (Differentsial’nye uravneniya. Uchebnoe posobie). (Ukrainian) Zbl 0531.34001 Kiev: Golovnoe Izdatel’stvo Izdatel’skogo Ob”edineniya ”Vishcha Shkola”. 504 p. R. 1.40 (1981). Reviewer: J.Chrastina MSC: 34-01 34A12 34A30 34E05 34E20 34A05 34L99 34D20 34C05 PDFBibTeX XML