Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition
In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/6632236 |
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| _version_ | 1832563246194753536 |
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| author | Qing-Qing Hu Baoqiang Yan |
| author_facet | Qing-Qing Hu Baoqiang Yan |
| author_sort | Qing-Qing Hu |
| collection | DOAJ |
| description | In this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed. |
| format | Article |
| id | doaj-art-c77362f8a10a4ee8851389faae454e76 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c77362f8a10a4ee8851389faae454e762025-02-03T01:20:44ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/66322366632236Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary ConditionQing-Qing Hu0Baoqiang Yan1School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaSchool of Mathematics and Statistics, Shandong Normal University, Jinan 250014, ChinaIn this paper, we consider the existence of multiple solutions for second-order equation with Stieltjes integral boundary condition using the three-critical-point theorem and variational method. Firstly, a novel space is established and proved to be Hilbert one. Secondly, based on the above work, we obtain the existence of multiple solutions for our problem. Finally, in order to illustrate the effectiveness of our problem better, the example is listed.http://dx.doi.org/10.1155/2021/6632236 |
| spellingShingle | Qing-Qing Hu Baoqiang Yan Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition Journal of Function Spaces |
| title | Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition |
| title_full | Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition |
| title_fullStr | Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition |
| title_full_unstemmed | Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition |
| title_short | Existence of Multiple Solutions for Second-Order Problem with Stieltjes Integral Boundary Condition |
| title_sort | existence of multiple solutions for second order problem with stieltjes integral boundary condition |
| url | http://dx.doi.org/10.1155/2021/6632236 |
| work_keys_str_mv | AT qingqinghu existenceofmultiplesolutionsforsecondorderproblemwithstieltjesintegralboundarycondition AT baoqiangyan existenceofmultiplesolutionsforsecondorderproblemwithstieltjesintegralboundarycondition |