Existence of solutions for impulsive wave equations
We study a class of initial value problems for impulsive nonlinear wave equations. A new topological approach is applied to prove the existence of at least one and at least two nonnegative classical solutions. To prove our main results we give a suitable integral representation of the solutions of t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023438?viewType=HTML |
| _version_ | 1797902132468252672 |
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| author | Svetlin G. Georgiev Khaled Zennir Keltoum Bouhali Rabab alharbi Yousif Altayeb Mohamed Biomy |
| author_facet | Svetlin G. Georgiev Khaled Zennir Keltoum Bouhali Rabab alharbi Yousif Altayeb Mohamed Biomy |
| author_sort | Svetlin G. Georgiev |
| collection | DOAJ |
| description | We study a class of initial value problems for impulsive nonlinear wave equations. A new topological approach is applied to prove the existence of at least one and at least two nonnegative classical solutions. To prove our main results we give a suitable integral representation of the solutions of the considered problem. Then, we construct two operators so that any fixed point of their sum is a solution. |
| first_indexed | 2024-04-10T09:12:58Z |
| format | Article |
| id | doaj.art-3688f43ea0234462b3eddc928091e320 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T09:12:58Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-3688f43ea0234462b3eddc928091e3202023-02-21T01:51:27ZengAIMS PressAIMS Mathematics2473-69882023-02-01848731875510.3934/math.2023438Existence of solutions for impulsive wave equationsSvetlin G. Georgiev 0Khaled Zennir1Keltoum Bouhali2Rabab alharbi 3Yousif Altayeb4Mohamed Biomy51. Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia4. Departement de Mathématiques, Faculté des sciences, Université 20 Aôut 1955, Skikda, Algérie2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia2. Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia 3. Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Port Said, 42511, EgyptWe study a class of initial value problems for impulsive nonlinear wave equations. A new topological approach is applied to prove the existence of at least one and at least two nonnegative classical solutions. To prove our main results we give a suitable integral representation of the solutions of the considered problem. Then, we construct two operators so that any fixed point of their sum is a solution.https://www.aimspress.com/article/doi/10.3934/math.2023438?viewType=HTMLwave equationsimpulsive wave equationspositive solutionfixed pointconesum of operators |
| spellingShingle | Svetlin G. Georgiev Khaled Zennir Keltoum Bouhali Rabab alharbi Yousif Altayeb Mohamed Biomy Existence of solutions for impulsive wave equations AIMS Mathematics wave equations impulsive wave equations positive solution fixed point cone sum of operators |
| title | Existence of solutions for impulsive wave equations |
| title_full | Existence of solutions for impulsive wave equations |
| title_fullStr | Existence of solutions for impulsive wave equations |
| title_full_unstemmed | Existence of solutions for impulsive wave equations |
| title_short | Existence of solutions for impulsive wave equations |
| title_sort | existence of solutions for impulsive wave equations |
| topic | wave equations impulsive wave equations positive solution fixed point cone sum of operators |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023438?viewType=HTML |
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