Existence of Solutions for Fourth-Order Four-Point Boundary Value Problem on Time Scales

被引:0
作者
Dandan Yang
Gang Li
Chuanzhi Bai
机构
[1] Yangzhou University,School of Mathematical Science
[2] Huaiyin Normal University,Department of Mathematics
来源
Boundary Value Problems | / 2009卷
关键词
Unique Solution; Boundary Value Problem; Dynamic Equation; Green Function; Fixed Point Theorem;
D O I
暂无
中图分类号
学科分类号
摘要
We present an existence result for fourth-order four-point boundary value problem on time scales. Our analysis is based on a fixed point theorem due to Krasnoselskii and Zabreiko.
引用
收藏
相关论文
共 33 条
[1]  
Karaca IY(2008)Fourth-order four-point boundary value problem on time scales Applied Mathematics Letters 21 1057-1063
[2]  
Bai C(2007)Existence of solutions for fourth order differential equation with four-point boundary conditions Applied Mathematics Letters 20 1131-1136
[3]  
Yang D(1990)Analysis on measure chains—a unified approach to continuous and discrete calculus Results in Mathematics 18 18-56
[4]  
Zhu H(2002)On Green's functions and positive solutions for boundary value problems on time scales Journal of Computational and Applied Mathematics 141 75-99
[5]  
Hilger S(2004)Existence results for second order boundary value problem of impulsive dynamic equations on time scales Journal of Mathematical Analysis and Applications 296 65-73
[6]  
Atici FM(2006)Positive solutions of two-point right focal boundary value problems on time scales Computers & Mathematics with Applications 52 555-576
[7]  
Guseinov GSh(2006)Existence of solution and positive solution of BVP for nonlinear third-order dynamic equation Nonlinear Analysis: Theory, Methods & Applications 64 629-636
[8]  
Benchohra M(2007)Existence theory for positive solutions to one-dimensional Journal of Differential Equations 240 217-248
[9]  
Ntouyas SK(2008)-Laplacian boundary value problems on time scales Applied Mathematics and Computation 200 413-428
[10]  
Ouahab A(2008)Solutions for higher-order dynamic equations on time scales Nonlinear Analysis: Theory, Methods & Applications 69 1817-1823