Existence of solutions to boundary value problems for dynamic systems on time scales

被引：19

作者：

Amster, P

Rogers, C

Tisdell, CC ^{[1
]}

机构：

[1] Univ Buenos Aires, Dept Matemat, Buenos Aires, DF, Argentina

[2] Consejo Nacl Invest Cient & Tecn, RA-1033 Buenos Aires, DF, Argentina

[3] Univ New S Wales, Australian Res Council, Ctr Excellence Math & Stat Complex Syst, Sydney, NSW 2052, Australia

[4] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 308卷 / 02期

基金：

澳大利亚研究理事会;

关键词：

time scales; boundary value problem; existence of solutions; topological methods;

D O I：

10.1016/j.jmaa.2004.11.039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here, we investigate systems of boundary value problems for dynamic equations on time scales. Using a generalized relationship between the boundary conditions and a certain subset of the solution space, the existence of solutions is established through topological arguments. The main tools used are Leray-Schauder and Brouwer degree theory. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：565 / 577

页数：13

共 14 条

[1]

Agarwal RP, 2001, NONLINEAR ANAL-THEOR, V44, P527

[2]

Akin E., 2000, PANAMER MATH J, V10, P17

[3] A fixed point operator for a nonlinear boundary value problem [J].