无界区域上一类二阶时滞非自治发展方程弱解的存在性

Existence of weak solutions for a class of non-autonomous second-order delay evolution equations on unbounded domain

摘要

运用Faedo-Galerkin方法,证明无界区域上一类具有色散耗散项的时滞非自治发展方程弱解的存在性.

Abstract

In this article, we prove the existence of weak solutions for a class of non-autonomous second-order delay evolution equations on unbounded domain by the standard Faedo-Galerkin approximation method.

关键词

无界区域 / 时滞非自治发展方程 / 弱解

Key words

unbounded domain / non-autonomous delay evolution equations / weak solutions

参考文献

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基金资助

甘肃省教育厅2025年甘肃省高校教师创新基金项目(2025B-283)