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differential variational INEQUALITIES IN INFINITE BANACH SPACES

Acta Mathematica Scientia 2017年第1期37卷 26-32页

作者：刘振海曾生达 Guangxi Key Laboratory of Universities Optimization Control and Engineering Calculation and College of SciencesGuangxi University for Nationalities Institute of Computer Science Faculty of Mathematics and Computer Science Jagiellonian University

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.

关键词： differential variational inequality C0-semigroup monotone operator existcnceof solutions

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differential INVERSE variational INEQUALITIES IN FINITE DIMENSIONAL SPACES

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Acta Mathematica Scientia 2015年第2期35卷 407-422页

作者：李为汪星黄南京 Department of Applied Mathematics Chengdu University of Technology School of Information Technology Jiangxi University of Finance and Economics Department of Mathematics Sichuan University

In this article, a new differential inverse variational inequality is introduced and studied in finite dimensional Euclidean spaces. Some results concerned with the linear growth of the solution set for the differential inverse variational inequalities are obtained under different conditions. Some existence theorems of Caratheodory weak solutions for the differential inverse variational inequality are also established under suitable conditions. An application to the time-dependent spatial price equilibrium control problem is also given.

关键词： differential inverse variational inequality differential variational inequality linear growth Caratheodory weak solutions

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THE NONEMPTINESS AND COMPACTNESS OF MILD SOLUTION SETS FOR RIEMANN-LIOUVILLE FRACTIONAL DELAY differential variational INEQUALITIES

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Acta Mathematica Scientia 2021年第5期41卷 1569-1578页

作者：蒋宜蓉魏周超卢景苹 College of Science Guilin University of TechnologyGuilin 541004China School of Mathematics and Physics China University of Geosciences(Wuhan)Wuhan 430074China

This paper investigates the nonemptiness and compactness of the mild solution set for a class of Riemann-Liouville fractional delay differential variational inequalities,which are formulated by a Riemann-Liouville fractional delay evolution equation and a variational inequality.Our approach is based on the resolvent technique and a generalization of strongly continuous semigroups combined with Schauder's fixed point theorem.

关键词： differential variational inequality Riemann-Liouville fractional delay evolution equation resolvent Schauder's fixed point theorem

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