A state-dependent Chandrasekhar integral equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 243، دوره 13، شماره 2، مهر 2022، صفحه 3049-3056 اصل مقاله (326.13 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23027.2461 | ||
| نویسندگان | ||
| Ahmed M El-Sayed* ؛ H.H.G. Hashem | ||
| Faculty of Science, Alexandria University, Alexandria, Egypt | ||
| چکیده | ||
| Phenomena depending on their past history or their past state have received more importance. The mathematical models of these phenomena can be described by differential equations of a hereditary or a self-referred type. This paper is devoted to study the solvability of a state-dependent or self-referred integral equation via Chandrasekhar kernel. The investigation of this problem is motivated by the results from, Eder [10], Feˇckan [11] and Buica [3] who initiated the study of state dependent differential equations. Here, the existence and the uniqueness of the solution of this state-dependent integral equation via Chandrasekhar kernel have been discussed. The data dependency of the solution on some functions has been studied. | ||
| کلیدواژهها | ||
| Chandrasekhar kernel؛ Existence and Uniqueness of the solution؛ Continuous dependence | ||
| مراجع | ||
|
| ||
|
آمار تعداد مشاهده مقاله: 45,157 تعداد دریافت فایل اصل مقاله: 50,719 |
||
| تعداد نشریات | 22 |
| تعداد شمارهها | 721 |
| تعداد مقالات | 10,359 |
| تعداد مشاهده مقاله | 72,761,951 |
| تعداد دریافت فایل اصل مقاله | 64,423,370 |