A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems
We give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. We also provide examples to illustrate the applicability of our results.
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2020-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/16776 |
| _version_ | 1811312740175708160 |
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| author | Sergey Smirnov |
| author_facet | Sergey Smirnov |
| author_sort | Sergey Smirnov |
| collection | DOAJ |
| description | We give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. We also provide examples to illustrate the applicability of our results. |
| first_indexed | 2024-04-13T10:41:54Z |
| format | Article |
| id | doaj.art-defe92ec275b4d678feebcf368d0c757 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T10:41:54Z |
| publishDate | 2020-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-defe92ec275b4d678feebcf368d0c7572022-12-22T02:49:55ZengVilnius University PressNonlinear Analysis1392-51132335-89632020-05-0125310.15388/namc.2020.25.16776A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problemsSergey Smirnov0University of LatviaWe give a simple geometrical criterion for the nonexistence of constant-sign solutions for a certain type of third-order two-point boundary value problem in terms of the behavior of nonlinearity in the equation. We also provide examples to illustrate the applicability of our results.https://www.journals.vu.lt/nonlinear-analysis/article/view/16776third-order two-point boundary value problemsnonexistence of solutionscomparison methods for the first zero functions |
| spellingShingle | Sergey Smirnov A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems Nonlinear Analysis third-order two-point boundary value problems nonexistence of solutions comparison methods for the first zero functions |
| title | A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems |
| title_full | A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems |
| title_fullStr | A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems |
| title_full_unstemmed | A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems |
| title_short | A geometrical criterion for nonexistence of constant-sign solutions for some third-order two-point boundary value problems |
| title_sort | geometrical criterion for nonexistence of constant sign solutions for some third order two point boundary value problems |
| topic | third-order two-point boundary value problems nonexistence of solutions comparison methods for the first zero functions |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/16776 |
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