scholarly journals Existence of positive solutions for singular boundary value problem on time scales

2007 ◽  
Vol 325 (1) ◽  
pp. 517-528 ◽  
Author(s):  
Zhao-Cai Hao ◽  
Ti-Jun Xiao ◽  
Jin Liang
Keyword(s):  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Boundary Value ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Existence Of Positive Solutions

scholarly journals Positive Solutions of Nonresonant Singular Boundary Value Problem of Second Order Differential Equations

2001 ◽  
Vol 162 ◽  
pp. 127-148 ◽  
Author(s):  
Zhongli Wei ◽  
Changci Pang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Boundary Value ◽  
Second Order ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Second Order Differential Equations ◽  
Existence Of Positive Solutions ◽  
Necessary And Sufficient

This paper investigates the existence of positive solutions of nonresonant singular boundary value problem of second order differential equations. A necessary and sufficient condition for the existence of C[0, 1] positive solutions as well as C1[0, 1] positive solutions is given by means of the method of lower and upper solutions with the fixed point theorems.

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 FOR BOUNDARY-VALUE PROBLEMS WITH SINGULARITIES IN PHASE VARIABLES

2004 ◽  
Vol 47 (1) ◽  
pp. 1-13 ◽  
Author(s):  
Ravi P. Agarwal ◽  
Donal O’Regan ◽  
Svatoslav Staněk
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Positive Solution ◽  
Positive Solutions ◽  
Boundary Value ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Existence Of Positive Solutions ◽  
Carathéodory Conditions ◽  
Primary 34B16

AbstractThe singular boundary-value problem $(g(x'))'=\mu f(t,x,x')$, $x'(0)=0$, $x(T)=b>0$ is considered. Here $\mu$ is the parameter and $f(t,x,y)$, which satisfies local Carathéodory conditions on $[0,T]\times(\mathbb{R}\setminus\{b\})\times(\mathbb{R}\setminus\{0\})$, may be singular at the values $x=b$ and $y=0$ of the phase variables $x$ and $y$, respectively. Conditions guaranteeing the existence of a positive solution to the above problem for suitable positive values of $\mu$ are given. The proofs are based on regularization and sequential techniques and use the topological transversality theorem.AMS 2000 Mathematics subject classification: Primary 34B16; 34B18

scholarly journals Solutions forp-Laplacian Dynamic Delay Differential Equations on Time Scales

2012 ◽  
Vol 2012 ◽  
pp. 1-23
Author(s):  
Hua Su ◽  
Lishan Liu ◽  
Xinjun Wang
Keyword(s):  
Differential Equations ◽  
Boundary Value Problem ◽  
Positive Solutions ◽  
Time Scales ◽  
Delay Differential Equations ◽  
Boundary Value ◽  
Laplacian Operator ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Delay Differential

LetTbe a time scale. We study the existence of positive solutions for the nonlinear four-point singular boundary value problem withp-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 is obtained.

scholarly journals Three-Order Multipoint Boundary Value Problems for p-Laplacian Operator on Time Scales

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Hua Su
Keyword(s):  
Positive Solutions ◽  
Time Scales ◽  
Fixed Point Theory ◽  
Boundary Value ◽  
Point Theory ◽  
Laplacian Operator ◽  
Singular Boundary ◽  
Singular Boundary Value Problem ◽  
Existence Of Positive Solutions ◽  
Multipoint Boundary Value Problems

In this paper, the existence of positive solutions for the nonlinear four-point singular BVP for there-order with p-Laplacian operator on time scales will be studied. By using the fixed-point theory, the existence of positive solutions for nonlinear singular boundary value problem with p-Laplacian operator on time scales is obtained.

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