scholarly journals Existence of positive solutions to BVPs of higher order delay differential equations

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Jianhua Shen ◽  
Jing Dong
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Positive Solutions ◽  
Delay Differential Equations ◽  
Nonlinear Eigenvalue Problem ◽  
Higher Order ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Existence Of Positive Solutions ◽  
Semipositone Problem ◽  
Delay Differential

AbstractThe paper is concerned with the existence of positive solutions for the nonlinear eigenvalue problem with singularity and the superlinear semipositone problem of higher order delay differential equations. The main results are obtained by using Guo-Krasnoselskii’s fixed point theorem in cones. These results extend some of the existing literature.

scholarly journals The boundary value problem of higher order differential equations with delay

2013 ◽  
Vol 46 (1) ◽  
Author(s):  
Zhimin He ◽  
Jianhua Shen
Keyword(s):  
Fixed Point ◽  
Differential Equations ◽  
Positive Solutions ◽  
Boundary Value ◽  
Sufficient Conditions ◽  
Higher Order ◽  
Krasnoselskii’S Fixed Point Theorem ◽  
Existence Of Positive Solutions ◽  
Equations With Delay ◽  
Higher Order Differential Equations

AbstractIn the paper, Guo–Krasnoselskii’s fixed point theorem is adapted to study the existence of positive solutions to a class of boundary value problems for higher order differential equations with delay. The sufficient conditions, which assure that the equation has one positive solution or two positive solutions, are derived. These conclusions generalize some existing ones.

scholarly journals Higher-Order Dynamic Delay Differential Equations on Time Scales

2012 ◽  
Vol 2012 ◽  
pp. 1-19
Author(s):  
Hua Su ◽  
Lishan Liu ◽  
Xinjun Wang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Delay Differential Equations ◽  
Boundary Value ◽  
Higher Order ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Delay Differential

We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-orderp-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. By using the fixed-point index theory, the existence of positive solution and many positive solutions for nonlinear four-point singular boundary value problem withp-Laplacian operator are obtained.

scholarly journals Existence of positive solutions of delay differential equations

2009 ◽  
Vol 43 (1) ◽  
pp. 63-70 ◽  
Author(s):  
Božena Dorociaková ◽  
Rudolf Olach
Keyword(s):  
Differential Equations ◽  
Positive Solutions ◽  
Delay Differential Equations ◽  
Asymptotic Properties ◽  
Existence Of Positive Solutions ◽  
Delay Differential

Abstract The article is concerned with the existence of positive solutions of the delay differential equations. The asymptotic properties of solutions are also treated.

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