Existence and multiplicity of global classical solutions for approximate long water wave (ALWW) equations | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 33، دوره 14، شماره 1، فروردین 2023، صفحه 437-450 اصل مقاله (410.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27436.3599 | ||
| نویسندگان | ||
| Riyadh Azib1؛ Svetlin Georgiev2؛ Arezki Kheloufi* 1؛ Karima Mebarki1 | ||
| 1Department of Mathematics, Faculty of Exact Sciences, Laboratory of Applied Mathematics, Bejaia University, 06000 Bejaia, Algeria | ||
| 2Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria | ||
| چکیده | ||
| In this paper, we investigate the Cauchy problem for long water wave equations for the existence and nonuniqueness of global classical solutions. We give sufficient conditions on the initial data of the considered equations that guarantee the existence and multiplicity of nonnegative global classical solutions. For this goal, a new topological approach to the fixed point theory of the sum of two operators in Banach spaces is used. | ||
| کلیدواژهها | ||
| Approximate long water wave equations؛ classical solution؛ fixed point؛ initial value problem | ||
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