Multiple solutions of ordinary differential systems with min-max terms and applications to the fuzzy differential equations

Advances in Difference Equations

Jun Wu¹  Yicheng Liu² 

[1] College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha, P.R. China;College of Science, National University of Defense Technology, Changsha, P.R. China

关键词: nonlinear fuzzy differential equations;    generalized Hukuhara derivative;    multiple solutions;    34A07;    34K36;    26E50;   

DOI  :  10.1186/s13662-015-0708-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of multiple solutions for a class of ordinary differential systems with min-max terms. We present two fundamental results for the existence of solutions. An illustrative example shows that the uniqueness of solution does not hold although the Lipschitz condition is added. Finally, there are some nontrivial applications of the considered theory to fuzzy differential equations with the generalized Hukuhara derivative.

【 授权许可】

CC BY