Existence, Uniqueness and Ulam Stabilities for Nonlinear Hyperbolic Partial Integrodifferential Equations

被引：0
|
作者：
Shikhare P.U. [1 ]
Kucche K.D. [1 ]
机构：
[1] Department of Mathematics, Shivaji University, Kolhapur, 416 004, Maharashtra
来源：
International Journal of Applied and Computational Mathematics | 2019年 / 5卷 / 6期
关键词：
Fixed point equation; Hyperbolic partial integrodifferential equations; Integral inequality; Ulam–Hyers stability; Ulam–Hyers–Rassias stability; Weakly Picard operator;
D O I：
10.1007/s40819-019-0742-8
中图分类号：
学科分类号：
摘要：
In the present article, by employing weakly Picard operator theory we investigate the existence and uniqueness of solutions and Ulam–Hyers stability of nonlinear hyperbolic partial Volterra and Volterra–Fredholm integrodifferential equations in Banach Spaces. Further, we obtain Ulam–Hyers–Rassias stability for these equations via Pachpatte’s integral inequalities. Appropriate examples are provided in support of the results we obtained. © 2019, Springer Nature India Private Limited.
引用
收藏
相关论文
共 50 条
12345