Differential variational inequalities in infinite banach spaces

By Zhenhai Liu, Shengda Zeng. 2017

54 citations recorded by the source corpus.

Abstract In this paper, we consider a new differential variational inequality (DVI, for short) which is composed of an evolution equation and a variational inequality in infinite Banach spaces. This kind of problems may be regarded as a special feedback control problem. Based on the Browder's theorem and the optimal control theory, we show the existence of solutions to the mentioned problem.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/cb1c62190e1f9f0b855ef7d31534cfd49bb7a7a2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Stanislaw Migórski
2. Shengda Zeng
3. Zhenhai Liu

In Computational Theory and Mathematics

1. Shengda Zeng
2. Stanislaw Migórski
3. Zhenhai Liu
4. Anna Ochal
5. Mircea-Traian Sofonea

Citations in the corpus

• A class of fractional differential hemivariational inequalities with application to contact problem (2018, background): “[20] in 2015 investigated a class of fractional differential variational inequalities with decay term in finite-dimensional spaces, for details on this topic in finite-dimensional spaces, we refer to [7,13,22,23,25,32,48] and the references therein.”