Solutions forp-Laplacian Dynamic Delay Differential Equations on Time Scales

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.

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Higher-Order Dynamic Delay Differential Equations on Time Scales

Journal of Applied Mathematics ◽

10.1155/2012/939162 ◽

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.

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Multiple Positive Solutions of a Nonlinear Four-Point Singular Boundary Value Problem with a p-Laplacian Operator on Time Scales

Boundary Value Problems ◽

10.1155/2009/103276 ◽

2009 ◽

Vol 2009 ◽

pp. 1-19

Author(s):

Shihuang Hong

Keyword(s):

Boundary Value Problem ◽

Positive Solutions ◽

Time Scales ◽

Boundary Value ◽

Laplacian Operator ◽

Singular Boundary ◽

Multiple Positive Solutions ◽

Singular Boundary Value Problem

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

Nagoya Mathematical Journal ◽

10.1017/s0027763000007832 ◽

2001 ◽

Vol 162 ◽

pp. 127-148 ◽

Cited By ~ 15

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.

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Multiple positive solutions for four-point boundary value problem of fractional delay differential equations with p-Laplacian operator

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.03.001 ◽

2021 ◽

Vol 165 ◽

pp. 348-356

Author(s):

Shuai Li ◽

Zhixin Zhang ◽

Wei Jiang

Keyword(s):

Differential Equations ◽

Boundary Value Problem ◽

Positive Solutions ◽

Delay Differential Equations ◽

Laplacian Operator ◽

Multiple Positive Solutions ◽

Point Boundary ◽

Fractional Delay ◽

Delay Differential ◽

Fractional Delay Differential Equations

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

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.01.083 ◽

2007 ◽

Vol 325 (1) ◽

pp. 517-528 ◽

Cited By ~ 13

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

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

Journal of Function Spaces ◽

10.1155/2020/9168124 ◽

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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