Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses
Abstract In this paper, three-point boundary value problems for second-order p-Laplacian differential equations with instantaneous and noninstantaneous impulses are studied. The existence of at least one classical solution and infinitely many classical solutions is obtained by using variational meth...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-02-01
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| Series: | Boundary Value Problems |
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| Online Access: | https://doi.org/10.1186/s13661-023-01702-9 |
| _version_ | 1797864031925567488 |
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| author | Wangjin Yao |
| author_facet | Wangjin Yao |
| author_sort | Wangjin Yao |
| collection | DOAJ |
| description | Abstract In this paper, three-point boundary value problems for second-order p-Laplacian differential equations with instantaneous and noninstantaneous impulses are studied. The existence of at least one classical solution and infinitely many classical solutions is obtained by using variational methods and critical point theory. In addition, some examples are given to illustrate our main results. |
| first_indexed | 2024-04-09T22:45:04Z |
| format | Article |
| id | doaj.art-9be01930146f447aa4b0283797e5d908 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-04-09T22:45:04Z |
| publishDate | 2023-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-9be01930146f447aa4b0283797e5d9082023-03-22T11:54:17ZengSpringerOpenBoundary Value Problems1687-27702023-02-012023111310.1186/s13661-023-01702-9Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulsesWangjin Yao0Fujian Key Laboratory of Financial Information Processing, Putian UniversityAbstract In this paper, three-point boundary value problems for second-order p-Laplacian differential equations with instantaneous and noninstantaneous impulses are studied. The existence of at least one classical solution and infinitely many classical solutions is obtained by using variational methods and critical point theory. In addition, some examples are given to illustrate our main results.https://doi.org/10.1186/s13661-023-01702-9Three-point BVPsVariational methodsCritical point theoryInstantaneous impulseNoninstantaneous impulse |
| spellingShingle | Wangjin Yao Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses Boundary Value Problems Three-point BVPs Variational methods Critical point theory Instantaneous impulse Noninstantaneous impulse |
| title | Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses |
| title_full | Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses |
| title_fullStr | Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses |
| title_full_unstemmed | Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses |
| title_short | Existence and multiplicity of solutions for three-point boundary value problems with instantaneous and noninstantaneous impulses |
| title_sort | existence and multiplicity of solutions for three point boundary value problems with instantaneous and noninstantaneous impulses |
| topic | Three-point BVPs Variational methods Critical point theory Instantaneous impulse Noninstantaneous impulse |
| url | https://doi.org/10.1186/s13661-023-01702-9 |
| work_keys_str_mv | AT wangjinyao existenceandmultiplicityofsolutionsforthreepointboundaryvalueproblemswithinstantaneousandnoninstantaneousimpulses |