Positive Solutions forp-Laplacian Fourth-Order Differential System with Integral Boundary Conditions

This paper investigates the existence of positive solutions for a class of singularp-Laplacian fourth-order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range forλandμis derived such that for anyλandμlie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.

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Positive Solutions for Singularp-Laplacian Fractional Differential System with Integral Boundary Conditions

Abstract and Applied Analysis ◽

10.1155/2014/984875 ◽

2014 ◽

Vol 2014 ◽

pp. 1-12

Author(s):

Liping Wang ◽

Zongfu Zhou ◽

Hui Zhou

Keyword(s):

Fixed Point ◽

Fixed Point Theorem ◽

Boundary Conditions ◽

Positive Solutions ◽

Integral Boundary Conditions ◽

Integral Boundary ◽

Value System ◽

Fractional Differential System ◽

Existence Of Positive Solutions ◽

Fractional Differential

This paper investigates the existence of positive solutions for a class of singularp-Laplacian fractional differential equations with integral boundary conditions. By using the Leggett-Williams fixed point theorem, the existence of at least three positive solutions to the boundary value system is guaranteed.

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Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

Nonautonomous Dynamical Systems ◽

10.1515/msds-2020-0139 ◽

2021 ◽

Vol 8 (1) ◽

pp. 297-306

Author(s):

Bouzid Mansouri ◽

Abdelouaheb Ardjouni ◽

Ahcene Djoudi

Keyword(s):

Fixed Point ◽

Differential Equations ◽

Boundary Conditions ◽

Positive Solutions ◽

Fourth Order ◽

Continuous Dependence ◽

Sufficient Conditions ◽

Integral Boundary Conditions ◽

Integral Boundary ◽

Iterative Differential Equations

Abstract This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theorem to prove the existence of a positive solution. As an application, we given an example to illustrate the obtained results.

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Existence of solutions or nonlinear nth-order differential equations and inclusions with nonlocal and integral boundary conditions via fixed point theory

Filomat ◽

10.2298/fil1410149a ◽

2014 ◽

Vol 28 (10) ◽

pp. 2149-2162 ◽

Cited By ~ 1

Author(s):

Bashir Ahmad ◽

Sotiris Ntouyas ◽

Hamed Alsulami

Keyword(s):

Fixed Point ◽

Differential Equations ◽

Boundary Conditions ◽

Fixed Point Theorems ◽

Existence Of Solutions ◽

Fixed Point Theory ◽

Integral Boundary Conditions ◽

Point Theory ◽

Integral Boundary ◽

Differential Equations And Inclusions

In this paper, a class of boundary value problems of nonlinear nth-order differential equations and inclusions with nonlocal and integral boundary conditions is studied. New existence results are obtained by means of some fixed point theorems. Examples are given for the illustration of the results.

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Existence results for nonlinear fractional q-difference equations with nonlocal Riemann-Liouville q-integral boundary conditions

Filomat ◽

10.2298/fil1609521y ◽

2016 ◽

Vol 30 (9) ◽

pp. 2521-2533 ◽

Cited By ~ 3

Author(s):

Wengui Yang

Keyword(s):

Fixed Point ◽

Boundary Conditions ◽

Difference Equations ◽

Fixed Point Theory ◽

Integral Boundary Conditions ◽

Point Theory ◽

Uniqueness Of Solutions ◽

Integral Boundary ◽

Nonlinear Alternative ◽

Krasnoselskii Fixed Point Theorem

This paper deals with the existence and uniqueness of solutions for a class of nonlinear fractional q-difference equations boundary value problems involving four-point nonlocal Riemann-Liouville q-integral boundary conditions of different order. Our results are based on some well-known tools of fixed point theory such as Banach contraction principle, Krasnoselskii fixed point theorem, and the Leray-Schauder nonlinear alternative. As applications, some interesting examples are presented to illustrate the main results.

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