Second order evolutionary partial differential variational-like inequalities-Reference-Cited by-同舟云学术

Second order evolutionary partial differential variational-like inequalities

Published:2022 Issue:9 Volume:7 Page:16832-16850
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Imran¹,Khan Faizan Ahmad²,Rizvi Haider Abbas¹,Ahmad Rais³,Rajpoot Arvind Kumar³

Affiliation:

1. Department of Mathematics, School of Advanced Sciences, Kalasalingam Academy of Research and Education, Anand Nagar, Kirshanankoil-626126, India

2. Computational & Analytical Mathematics and Their Applications Research Group, Faculty of Science, University of Tabuk, Tabuk-71491, Saudi Arabia

3. Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India

Abstract

<abstract><p>This work is dedicated to the study of a second order evolutionary partial differential variational-like inequality in Banach space. We obtain the mild solution of our problem by applying the concept of strongly continuous cosine family of bounded linear operators, fixed point theorem for condensing multi-valued operators and measure of non-compactness. It is proved that the solution set of mixed variational-like inequalities is non-empty, bounded, closed and convex.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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