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arXiv 1608.04827math.DS
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时间尺度上非线性Volterra-Fredholm积分方程和积分动力方程的适定性

Well-Posedness of some nonlinear Volterra-Fredholm integral and integro-dynamic equations on time scales

Alaa E. Hamza, Ahmed G. Ghallab

摘要:

本文研究了无界区间上任意时间尺度上一类非线性Volterra-Fredholm动力积分方程和积分动力方程的适定性。我们导出了某些Pachpatte型积分不等式的时间尺度模拟,并利用它们与Banach的不动点定理建立了结果.

英文摘要:

In this paper we study well posedness of a certain nonlinear Volterra-Fredholm dynamic integral and integro-dynamic equations on unbounded interval from arbitrary time scale. We derive the time scale analogue of certain integral inequalities of Pachpatte type and using them with Banach's fixed-point theorem to establish the results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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