On the Existence of Solutions for Dynamic Boundary Value Problems under Barrier Strips Condition

Advances in Difference Equations

Yulian An¹  Hua Luo² 

[1] Department of Mathematics, Shanghai Institute of Technology, Shanghai, China;School of Mathematics and Quantitative Economics, Dongbei University of Finance and Economics, Dalian, China

关键词: Nonlinear Term;    Growth Restriction;    Bifurcation Theory;    Dynamic Boundary;    Degree Theory;   

DOI  :  10.1155/2011/378686

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

By defining a new terminology, scatter degree, as the supremum of graininess functional value, this paper studies the existence of solutions for a nonlinear two-point dynamic boundary value problem on time scales. We do not need any growth restrictions on nonlinear term of dynamic equation besides a barrier strips condition. The main tool in this paper is the induction principle on time scales.

【 授权许可】

CC BY