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Multiple solutions of a class IBVPs for one-dimensional nonlinear wave equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 88، دوره 14، شماره 1، فروردین 2023، صفحه 1147-1160 اصل مقاله (383.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.26999.3471 | ||
| نویسندگان | ||
| Svetlin Georgiev1؛ Khaled Zennir* 2 | ||
| 1Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria | ||
| 2Department of Mathematics, College of Sciences and Arts, Qassim University, Ar-Rass, Saudi Arabia | ||
| تاریخ دریافت: 06 اردیبهشت 1401، تاریخ بازنگری: 19 خرداد 1401، تاریخ پذیرش: 13 شهریور 1401 | ||
| چکیده | ||
| The purpose of studying the discipline of nonlinear wave processes is to knowledge of the current state of nonlinear wave problems in mechanics and an understanding of its main problems, as well as to develop general skills for solving these problems using new methods of mathematical. We consider a class of initial boundary value problems for one-dimensional nonlinear wave processes. A new topological approach is applied to prove the existence of at least two nonnegative classical solutions. The arguments are based on a recent theoretical result. | ||
| کلیدواژه‌ها | ||
| Partial differential equations؛ Existence results؛ Green function؛ Nonlinear hyperbolic processes؛ Positive solution؛ Fixed point؛ Cone؛ Sum of operators؛ Nonnegative classical solutions | ||
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