Approximate controllability of evolution hemivariational inequalities under nonlocal conditions

Yongwei Jia; Yongwei Jia

doi:10.3934/math.2025165

AIMS Mathematics

2025, Volume 10, Issue 2: 3581-3596. doi: 10.3934/math.2025165

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Approximate controllability of evolution hemivariational inequalities under nonlocal conditions

Yongwei Jia ^,

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Received: 26 November 2024 Revised: 13 February 2025 Accepted: 19 February 2025 Published: 24 February 2025
MSC : Primary 35R70; Secondary 49J53

This article utilizes fixed-point theory and nonsmooth analysis to study the existence and approximate controllability of mild solutions for a class of nonlinear evolution hemivariational inequalities with nonlocal conditions in Hilbert spaces. In fact, our main results encompass a broader range of related issues. Finally, we use an example to illustrate that our results are valuable.
- approximate controllability,
- generalized gradient,
- nonlocal problem
Citation: Yongwei Jia. Approximate controllability of evolution hemivariational inequalities under nonlocal conditions[J]. AIMS Mathematics, 2025, 10(2): 3581-3596. doi: 10.3934/math.2025165

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Abstract

This article utilizes fixed-point theory and nonsmooth analysis to study the existence and approximate controllability of mild solutions for a class of nonlinear evolution hemivariational inequalities with nonlocal conditions in Hilbert spaces. In fact, our main results encompass a broader range of related issues. Finally, we use an example to illustrate that our results are valuable.

References

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