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
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。