Lower and upper solutions for delay evolution equations with nonlocal and impulsive conditions

Date

2022-04-18

Authors

Zhang, Xuping

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

In this article, we apply the method of lower and upper solutions for studying delay evolution equations with nonlocal and impulsive conditions in infinite dimensional Banach spaces. Under wide monotone conditions and noncompactness measure condition of nonlinear term, we obtain the existence of extremal solutions and a unique solution between lower and upper solutions. A concrete application to partial differential equations is considered.

Description

Keywords

Evolution equations, Delay, Nonlocal and impulsive conditions, Lower and upper solutions, Measure of noncompactness

Citation

Zhang, X. (2022). Lower and upper solutions for delay evolution equations with nonlocal and impulsive conditions. <i>Electronic Journal of Differential Equations, 2022</i>(31), pp. 1-14.

Rights

Attribution 4.0 International

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