Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian
The efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ϕpx′t′+fx′t+gxt+ht/1−xt=et are established in the paper. Here, ϕps=sp−2s,p>1,f,g,h,e∈Cℝ,ℝ with ht+T=ht. The approach is based on the continuation theorem for...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2362853 |
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| _version_ | 1832566006163177472 |
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| author | Honghui Yin Bo Du Qing Yang Feng Duan |
| author_facet | Honghui Yin Bo Du Qing Yang Feng Duan |
| author_sort | Honghui Yin |
| collection | DOAJ |
| description | The efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ϕpx′t′+fx′t+gxt+ht/1−xt=et are established in the paper. Here, ϕps=sp−2s,p>1,f,g,h,e∈Cℝ,ℝ with ht+T=ht. The approach is based on the continuation theorem for coincidence degree theory. |
| format | Article |
| id | doaj-art-85d4e2c6c2a74f0997b6616e93006eec |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-85d4e2c6c2a74f0997b6616e93006eec2025-02-03T01:05:21ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/23628532362853Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-LaplacianHonghui Yin0Bo Du1Qing Yang2Feng Duan3School of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu 223300, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu 223300, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian Jiangsu 223300, ChinaBasic Education Department, Tongling Polytechnic, Tongling Anhui 244061, ChinaThe efficient conditions guaranteeing the existence of homoclinic solutions to second-order singular differential equation with p-Laplacian ϕpx′t′+fx′t+gxt+ht/1−xt=et are established in the paper. Here, ϕps=sp−2s,p>1,f,g,h,e∈Cℝ,ℝ with ht+T=ht. The approach is based on the continuation theorem for coincidence degree theory.http://dx.doi.org/10.1155/2020/2362853 |
| spellingShingle | Honghui Yin Bo Du Qing Yang Feng Duan Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian Journal of Function Spaces |
| title | Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian |
| title_full | Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian |
| title_fullStr | Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian |
| title_full_unstemmed | Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian |
| title_short | Existence of Homoclinic Orbits for a Singular Differential Equation Involving p-Laplacian |
| title_sort | existence of homoclinic orbits for a singular differential equation involving p laplacian |
| url | http://dx.doi.org/10.1155/2020/2362853 |
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