@article{Ali2022, 
author = {Imran Ali and Faizan Ahmad Khan and Haider Abbas Rizvi and Rais Ahmad and Arvind Kumar Rajpoot},
title = {Second order evolutionary partial differential variational-like inequalities},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {9},
pages = {16832-16850},
keywords = {second order evolution equation, variational-like inequality, cosine family, measure of non-compactness, mild solution},
url = {https://www.sciopen.com/article/10.3934/math.2022924},
doi = {10.3934/math.2022924},
abstract = {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.}
}