Nonlinear algebraic systems with discontinuous terms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Bisci, Giovanni Molica¹  Repovs, Dusan^2,3 

[1] Univ Reggio Calabria, Dipartimento MECMAT, I-89124 Reggio Di Calabria, Italy

[2] Univ Ljubljana, Fac Educ, Ljubljana 1001, Slovenia

[3] Univ Ljubljana, Fac Math & Phys, Ljubljana 1001, Slovenia

关键词: Discrete problems;    Algebraic systems;    Multiple solutions;    Difference equations;    Non-smooth problems;   

DOI  :  10.1016/j.jmaa.2012.09.046

来源: Elsevier

【 摘 要 】

Using a multiple critical points theorem for locally Lipschitz continuous functionals, we establish the existence of at least three distinct solutions for a parametric discrete differential inclusion problem involving a real symmetric and positive definite matrix. Applications to tridiagonal, fourth-order and partial difference inclusions are presented. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free