Existence and uniqueness for solutions of parabolic quasi-variational inequalities with impulse control and nonlinear source terms

被引：3

作者：

Boulaaras, Salah ^{[1
,2
]}

机构：

[1] Al Qassim Univ, Coll Arts & Sci, Dept Math, Al Ras, Saudi Arabia

[2] Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Algeria

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 02期

关键词：

Parabolic quasi-variational inequality; finite elements; semi-implicit scheme; contraction; fixed point; impulse control problem; JACOBI-BELLMAN EQUATIONS; FINITE-ELEMENT APPROXIMATION;

D O I：

10.22436/jnsa.009.02.21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we present a new proof for the existence and uniqueness of solutions of parabolic quasi-variational inequalities with impulse control. We prove some properties of the presented algorithm (see [S. Boulaaras, M. Haiour, Appl. Math. Comput., 217 (2011), 6443-6450], [S. Boulaaras, M. Haiour, Indaga. Math., 24 (2013), 161-173]) using a semi-implicit scheme with respect to the t-variable combined with a finite element spatial approximation. (C) 2016 All rights reserved.

引用

页码：568 / 583

页数：16

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