Well-Posed Solvability of Volterra Integro-Differential Equations Arising in Viscoelasticity Theory
Pub Date : 2024-07-30
DOI:10.1134/s0012266124040098
引用次数: 0
Abstract
We discuss the well-posed solvability and exponential stability of solutions of abstract integro-differential equations where the kernels of integral operators are of general type and lie in the space of functions integrable on the positive half-line. The abstract integro-differential equations studied in the present paper are operator models of viscoelasticity theory problems. The proposed approach to the study of these integro-differential equations is related to an application of semigroup theory and can also be used to study other integro-differential equations containing integral terms of the Volterra convolution type.
粘弹性理论中出现的 Volterra 积分微分方程的良好求解性
摘要 我们讨论了抽象积分微分方程解的可解性和指数稳定性，其中积分算子的核为一般类型，且位于正半线上可积分的函数空间内。本文研究的抽象积分微分方程是粘弹性理论问题的算子模型。本文提出的研究这些整微分方程的方法与半群理论的应用有关，也可用于研究其他包含 Volterra 卷积型积分项的整微分方程。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
求助全文
约1分钟内获得全文
求助全文
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
