Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses
Variational methods are used in order to establish the existence of nontrivial weak solution for superlinear second-order system with noninstantaneous impulses. The main result is obtained when a kind of definition of the weak solution for this system is introduced. Meanwhile, an example is presente...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2021/5515575 |
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| _version_ | 1832561483841536000 |
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| author | Yucheng Bu |
| author_facet | Yucheng Bu |
| author_sort | Yucheng Bu |
| collection | DOAJ |
| description | Variational methods are used in order to establish the existence of nontrivial weak solution for superlinear second-order system with noninstantaneous impulses. The main result is obtained when a kind of definition of the weak solution for this system is introduced. Meanwhile, an example is presented to illustrate the main result. |
| format | Article |
| id | doaj-art-2a022da775974336a7600c9e16c9df20 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-2a022da775974336a7600c9e16c9df202025-02-03T01:24:54ZengWileyAbstract and Applied Analysis1085-33751687-04092021-01-01202110.1155/2021/55155755515575Existence of Solutions for Superlinear Second-Order System with Noninstantaneous ImpulsesYucheng Bu0Danyang Normal School, Zhenjiang College, Zhenjiang 212300, ChinaVariational methods are used in order to establish the existence of nontrivial weak solution for superlinear second-order system with noninstantaneous impulses. The main result is obtained when a kind of definition of the weak solution for this system is introduced. Meanwhile, an example is presented to illustrate the main result.http://dx.doi.org/10.1155/2021/5515575 |
| spellingShingle | Yucheng Bu Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses Abstract and Applied Analysis |
| title | Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses |
| title_full | Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses |
| title_fullStr | Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses |
| title_full_unstemmed | Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses |
| title_short | Existence of Solutions for Superlinear Second-Order System with Noninstantaneous Impulses |
| title_sort | existence of solutions for superlinear second order system with noninstantaneous impulses |
| url | http://dx.doi.org/10.1155/2021/5515575 |
| work_keys_str_mv | AT yuchengbu existenceofsolutionsforsuperlinearsecondordersystemwithnoninstantaneousimpulses |