Positive solutions of four-point boundary value problem for fourth order ordinary differential equation

Authors:
Changchun Yu;Shihua Chen;Francis Austin;Jinhu Lü
Affiliations:
College of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;College of Mathematics and Statistics, Wuhan University, Wuhan 430072, PR China;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hong Kong, China;Institute of Systems Science, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2010

Citing 6
Cited 0

On an M-point boundary value problem

Nonlinear Analysis: Theory, Methods & Applications
A generalized multi-point boundary value problem for second order ordinary differential equations

Applied Mathematics and Computation - Special issue on differential equations and computational simulations II
Existence results for n-point boundary value problem of second order ordinary differential equations

Journal of Computational and Applied Mathematics
Existence results for some fourth-order multi-point boundary value problem

Mathematical and Computer Modelling: An International Journal
Positive solutions to singular third-order three-point boundary value problems on time scales

Mathematical and Computer Modelling: An International Journal
Positive solutions for an n-point nonhomogeneous boundary value problem

Mathematical and Computer Modelling: An International Journal

Quantified Score

Hi-index	0.98

Visualization

Abstract

In this paper, the fourth order differential equation with four-point boundary value problem y^(^4^)(t)-f(t,y(t),y^'^'(t))=0,0@?t@?1,y(0)=y(1)=0,ay^'^'(@x"1)-by^'^'^'(@x"1)=0,cy^'^'(@x"2)+dy^'^'^'(@x"2)=0 is studied, where 0@?@x"1