Two‐point boundary value problems at resonance
Consider two‐point boundary value problems of resonance type x″ +x = f(t, x, x′), x(0) = x(π) = 0. We investigate existence and multiplicity of solutions to such problems by using the quasilinearization process. First published online: 14 Oct 2010
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| Format: | Article |
| Language: | English |
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Vilnius Gediminas Technical University
2009-06-01
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| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6545 |
| _version_ | 1818385457121067008 |
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| author | Inara Yermachenko |
| author_facet | Inara Yermachenko |
| author_sort | Inara Yermachenko |
| collection | DOAJ |
| description | Consider two‐point boundary value problems of resonance type x″ +x = f(t, x, x′), x(0) = x(π) = 0. We investigate existence and multiplicity of solutions to such problems by using the quasilinearization process.
First published online: 14 Oct 2010 |
| first_indexed | 2024-12-14T03:38:27Z |
| format | Article |
| id | doaj.art-04d58b7f20324bfa9381771046a3d944 |
| institution | Directory Open Access Journal |
| issn | 1392-6292 1648-3510 |
| language | English |
| last_indexed | 2024-12-14T03:38:27Z |
| publishDate | 2009-06-01 |
| publisher | Vilnius Gediminas Technical University |
| record_format | Article |
| series | Mathematical Modelling and Analysis |
| spelling | doaj.art-04d58b7f20324bfa9381771046a3d9442022-12-21T23:18:32ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-06-0114210.3846/1392-6292.2009.14.247-257Two‐point boundary value problems at resonanceInara Yermachenko0Daugavpils University Par¯ades str. 1, Daugavpils LV5400, LatviaConsider two‐point boundary value problems of resonance type x″ +x = f(t, x, x′), x(0) = x(π) = 0. We investigate existence and multiplicity of solutions to such problems by using the quasilinearization process. First published online: 14 Oct 2010https://journals.vgtu.lt/index.php/MMA/article/view/6545nonlinear boundary value problemsresonancequasilinearizationmultiple solutions |
| spellingShingle | Inara Yermachenko Two‐point boundary value problems at resonance Mathematical Modelling and Analysis nonlinear boundary value problems resonance quasilinearization multiple solutions |
| title | Two‐point boundary value problems at resonance |
| title_full | Two‐point boundary value problems at resonance |
| title_fullStr | Two‐point boundary value problems at resonance |
| title_full_unstemmed | Two‐point boundary value problems at resonance |
| title_short | Two‐point boundary value problems at resonance |
| title_sort | two point boundary value problems at resonance |
| topic | nonlinear boundary value problems resonance quasilinearization multiple solutions |
| url | https://journals.vgtu.lt/index.php/MMA/article/view/6545 |
| work_keys_str_mv | AT inarayermachenko twopointboundaryvalueproblemsatresonance |