Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument
The purpose of this study is to investigate a Schrödinger type of boundary‐value‐transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Provid...
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| Published in: | Mathematical methods in the applied sciences Vol. 41; no. 16; pp. 6604 - 6610 |
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| Language: | English |
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| ISSN: | 0170-4214, 1099-1476 |
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| Abstract | The purpose of this study is to investigate a Schrödinger type of boundary‐value‐transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting own approaches, we find asymptotic formulas for the eigenvalues and eigenfunctions of the second‐order differential equation with retarded argument, which includes the eigenparameter as a quadratic function. |
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| AbstractList | The purpose of this study is to investigate a Schrödinger type of boundary‐value‐transmission problem with retarded argument. By modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting own approaches, we find asymptotic formulas for the eigenvalues and eigenfunctions of the second‐order differential equation with retarded argument, which includes the eigenparameter as a quadratic function. |
| Author | Şen, Erdoğan |
| Author_xml | – sequence: 1 givenname: Erdoğan orcidid: 0000-0001-6603-2652 surname: Şen fullname: Şen, Erdoğan email: erdogan.math@gmail.com organization: Faculty of Arts and Science, Namık Kemal University |
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| Cites_doi | 10.1002/mma.2699 10.1006/jmaa.1994.1429 10.1002/mana.200810195 10.1088/1751-8113/43/41/415207 10.1016/j.mcm.2011.07.039 10.1155/2014/170397 10.1063/1.3058324 10.1215/kjm/1250281698 10.1002/mma.3002 |
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| References | 2004; 44 1998; 18 2017; 7 2010; 43 1994; 188 2013; 36 2011; 218 2013; 49 2017; 2017 1963; 2 2015; 44 2014; 37 2011; 54 1962 1972 1950 2016; 2016 2007; 191 2010; 283 2014; 2014 1958; 6 Jia X (e_1_2_4_22_1) 2014; 2014 Levitan BM (e_1_2_4_12_1) 1950 Aydemir K (e_1_2_4_19_1) 2016; 2016 Bayramov A (e_1_2_4_5_1) 1998; 18 e_1_2_4_7_1 e_1_2_4_9_1 Makin AS (e_1_2_4_17_1) 2013; 49 e_1_2_4_8_1 Ao J (e_1_2_4_16_1) 2011; 218 e_1_2_4_21_1 e_1_2_4_20_1 Cetinkaya FA (e_1_2_4_11_1) 2017; 7 Titchmarsh EC (e_1_2_4_13_1) 1962 Bayramoglu M (e_1_2_4_10_1) 2017; 2017 Norkin SB (e_1_2_4_3_1) 1958; 6 e_1_2_4_14_1 Norkin SB (e_1_2_4_4_1) 1963; 2 e_1_2_4_15_1 Mamedov KR (e_1_2_4_18_1) 2015; 44 Norkin SB (e_1_2_4_2_1) 1972 Bayramov A (e_1_2_4_6_1) 2007; 191 |
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for a multi‐point discontinuous Sturm‐Liouville problem publication-title: Electron J Diff Equ – volume: 18 start-page: 6 issue: 3 year: 1998 ident: e_1_2_4_5_1 article-title: On asymptotic of the eigenvalues and eigenfunctions for the problem of Sturm‐Liouville with the lag argument and the spectral parameter in the boundary condition publication-title: Trans Acad Sci Azerb Ser Phys Tech Math Sci – ident: e_1_2_4_15_1 doi: 10.1215/kjm/1250281698 – ident: e_1_2_4_9_1 doi: 10.1002/mma.3002 |
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| SubjectTerms | asymptotics of eigenvalues and eigenfunctions Boundary value problems differential equation with retarded argument Differential equations Eigenvalues Eigenvectors Quadratic equations Translations transmission conditions |
| Title | Computation of eigenvalues and eigenfunctions of a Schrödinger‐type boundary‐value‐transmission problem with retarded argument |
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