C^1-approximate solutions of second-order singular ordinary differential equations
In this work a new method is developed to obtain C^1-approximate solutions of initial and boundary-value problems generated from a one - parameter second order singular ordinary differential equation. Information about the order of approximation is also given by introducing the so called growth...
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| Format: | Article |
| Language: | English |
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Texas State University
2010-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/125/abstr.html |
| _version_ | 1818234618419085312 |
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| author | George L. Karakostas |
| author_facet | George L. Karakostas |
| author_sort | George L. Karakostas |
| collection | DOAJ |
| description | In this work a new method is developed to obtain C^1-approximate solutions of initial and boundary-value problems generated from a one - parameter second order singular ordinary differential equation. Information about the order of approximation is also given by introducing the so called growth index of a function. Conditions are given for the existence of such approximations for initial and boundary-value problems of several kinds. Examples associated with the corresponding graphs of the approximate solutions, for some values of the parameter, are also given. |
| first_indexed | 2024-12-12T11:40:56Z |
| format | Article |
| id | doaj.art-0ef7bf64fd46492abad31e2a179bf959 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T11:40:56Z |
| publishDate | 2010-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-0ef7bf64fd46492abad31e2a179bf9592022-12-22T00:25:33ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-09-012010125,147C^1-approximate solutions of second-order singular ordinary differential equationsGeorge L. KarakostasIn this work a new method is developed to obtain C^1-approximate solutions of initial and boundary-value problems generated from a one - parameter second order singular ordinary differential equation. Information about the order of approximation is also given by introducing the so called growth index of a function. Conditions are given for the existence of such approximations for initial and boundary-value problems of several kinds. Examples associated with the corresponding graphs of the approximate solutions, for some values of the parameter, are also given.http://ejde.math.txstate.edu/Volumes/2010/125/abstr.htmlOne-parameter second order ordinary differential equationgrowth index of a functionApproximate solutionsInitial value problemsboundary value problems |
| spellingShingle | George L. Karakostas C^1-approximate solutions of second-order singular ordinary differential equations Electronic Journal of Differential Equations One-parameter second order ordinary differential equation growth index of a function Approximate solutions Initial value problems boundary value problems |
| title | C^1-approximate solutions of second-order singular ordinary differential equations |
| title_full | C^1-approximate solutions of second-order singular ordinary differential equations |
| title_fullStr | C^1-approximate solutions of second-order singular ordinary differential equations |
| title_full_unstemmed | C^1-approximate solutions of second-order singular ordinary differential equations |
| title_short | C^1-approximate solutions of second-order singular ordinary differential equations |
| title_sort | c 1 approximate solutions of second order singular ordinary differential equations |
| topic | One-parameter second order ordinary differential equation growth index of a function Approximate solutions Initial value problems boundary value problems |
| url | http://ejde.math.txstate.edu/Volumes/2010/125/abstr.html |
| work_keys_str_mv | AT georgelkarakostas c1approximatesolutionsofsecondordersingularordinarydifferentialequations |