Zijia Peng, Cuie Xiao
Abstract:
This article concerns with a class of evolutionary hemivariational
inequalities in the framework of evolution triple.
Based on the Rothe method, monotonicity-compactness technique and the
properties of Clarke's generalized derivative and gradient, the existence
and convergence theorems to these problems are established.
The main idea in the proof is using the time difference to construct
the approximate problems. The work generalizes the existence results
on evolution inclusions and hemivariational inequalities of second order.
Submitted September 23, 2014. Published March 18, 2015.
Math Subject Classifications: 35K15, 35K86.
Key Words: Hemivariational inequality; nonlinear evolution inclusion;
Rothe method; pseudomonotone operator; Clarke's generalized gradient.
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Zijia Peng Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation, and School of Sciences Guangxi University for Nationalities Nanning, Guangxi 530006, China email: pengzijia@126.com |
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| Cuie Xiao Department of Mathematics and Computation Sciences Hunan City University Yiyang, Hunan 413000, China email: xiaocuie@163.com |
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