Uniqueness of Solutions to a System of Differential Inclusions
Date
2000-06-12
Authors
Wang, Chunpeng
Yin, Jingxue
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
In this paper we study the uniqueness of solutions to the initial and Dirichlet boundary-value problem of differential inclusions
∆ui + ∇∙ B→i (u1, u2,...,uN) ∈ ∂Fi(ui)/ ∂t, i = 1,2,...,N,
where B→i (s1, s2,..., sN) is an n-dimensional vector continuously differentiable on ℝN, and Fi(ui) = {wi : ui = Ai(wi)}, i = 1,2,...,N with Ai(s) continuously differentiable functions on ℝ and A'i(s) ≥ 0.
Description
Keywords
Differential inclusions, Degeneracy, Uniqueness
Citation
Wang, C., & Yin, J. (2000). Uniqueness of solutions to a system of differential inclusions. <i>Electronic Journal of Differential Equations, 2000</i>(43), pp. 1-8.
Rights
Attribution 4.0 International