用Picard算子分析具有非局部边界条件的Volterra积分微分方程
Analysis of Volterra Integrodifferential Equations with Nonlocal and Boundary Conditions via Picard Operator
摘要:
通过积分等价方程和Banach空间的不动点,研究了一类带非局部边界条件的二阶Volterra积分微分方程解的存在唯一性.此外,利用皮卡德算子理论,我们得到的依赖性的解决方案上的初始非局部数据和函数上涉及的方程的右手边。
英文摘要:
This article investigates the existence and uniqueness of solutions to the second order Volterra integrodifferential equations with nonlocal and boundary conditions through its integral equivalent equations and fixed point of Banach. Further, utilising the Picard operator theory we obtain the dependency of solutions on the initial nonlocal data and on functions involved on the right hand side of the equations.
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