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Solvability, continuous dependence and asymptotic expansion of solutions in a small parameter of Dirichlet problem for a nonlinear Kirchhoff wave equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 2، دوره 14، شماره 9، آذر 2023، صفحه 17-46 اصل مقاله (615.72 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.30205.4362 | ||
| نویسندگان | ||
| Le Huu Ky Son1؛ Ly Anh Duong2، 3؛ Le Thi Phuong Ngoc4؛ Nguyen Thanh Long* 2، 3 | ||
| 1Faculty of Applied Sciences, Ho Chi Minh City University of Food Industry, 140 Le Trong Tan Str., Tan Phu Dist., Ho Chi Minh City, Vietnam | ||
| 2Faculty of Mathematics and Computer Science, University of Science, Ho Chi Minh City, 227 Nguyen Van Cu Str., Dist. 5, Ho Chi Minh City, Vietnam | ||
| 3Vietnam National University, Ho Chi Minh City, Vietnam | ||
| 4University of Khanh Hoa, 01 Nguyen Chanh Str., Nha Trang City, Vietnam | ||
| تاریخ دریافت: 24 اسفند 1401، تاریخ پذیرش: 31 خرداد 1402 | ||
| چکیده | ||
| We study the existence, uniqueness, continuous dependence, and asymptotic expansion of solutions of the Dirichlet problem for a nonlinear Kirchhoff wave equation. At first, we state and prove a theorem involving the local existence and uniqueness of a weak solution. Next, we establish a sufficient condition to get an estimate of the continuous dependence of the solution with respect to the nonlinear terms. Finally, an asymptotic expansion of high order in a small parameter of a weak solution is also discussed. | ||
| کلیدواژه‌ها | ||
| Faedo-Galerkin method؛ Linear recurrent sequence؛ Continuous dependence؛ Asymptotic expansion | ||
| مراجع | ||
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