Results 31 to 40 of about 147 (97)

Concavity of solutions of a 2n-th order problem with symmetry [PDF]

Opuscula Mathematica, 2013
In this article we apply an extension of a Leggett-Williams type fixed point theorem to a two-point boundary value problem for a \(2n\)-th order ordinary differential equation.
Abdulmalik Al Twaty, Paul W. Eloe
doaj   +1 more source

Existence and Nonexistence of Positive Solutions for Mixed Fractional Boundary Value Problem with Parameter and p‐Laplacian Operator

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
This paper mainly studies a class of mixed fractional boundary value problem with parameter and p‐Laplacian operator. Based on the Guo‐Krasnosel’skii fixed point theorem, results on the existence and nonexistence of positive solutions for the fractional boundary value problem are established. An example is then presented to illustrate the effectiveness
Ying Wang, Hugo Leiva
wiley   +1 more source

Positive Solutions for Resonant and Nonresonant Nonlinear Third-Order Multipoint Boundary Value Problems

Abstract and Applied Analysis, 2013
Positive solutions for a kind of third-order multipoint boundary value problem under the nonresonant conditions and the resonant conditions are considered.
Liu Yang, Chunfang Shen, Dapeng Xie
doaj   +1 more source

On the Existence of Positive Solutions of Resonant and Nonresonant Multipoint Boundary Value Problems for Third-Order Nonlinear Differential Equations

Abstract and Applied Analysis, 2013
Positive solutions for a kind of third-order multipoint boundary value problem under the non-resonant conditions and the resonant conditions are considered. In the nonresonant case, by using Leggett-Williams fixed-point theorem, the existence of at least
Liu Yang, Chunfang Shen, Dapeng Xie, Xiping Liu   +3 more
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Impulsive Fractional Differential Equations with p‐Laplacian Operator in Banach Spaces

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
In this paper, we study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive p‐Laplacian operator fractional differential equations. We establish the sufficient conditions for the existence of solutions in Banach spaces.
Jingjing Tan, Kemei Zhang, Meixia Li, Yong H. Wu   +3 more
wiley   +1 more source

Positive Solutions for a Fractional Boundary Value Problem with a Perturbation Term

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
We obtain some new upper and lower estimates for the Green’s function associated with a fractional boundary value problem with a perturbation term. Criteria for the existence of positive solutions of the problem are then obtained based on it.
Yumei Zou, Liguang Wang
wiley   +1 more source

Existence of three positive solutions for boundary value problem with fractional order and infinite delay

Annals of the West University of Timisoara: Mathematics and Computer Science, 2015
In this paper we investigate the existence three positives solutions by using Leggett-Williams fixed point theorem in cones for three boundary value problem with fractional order and infinite delay.
Benaouda Hedia
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Positive Solutions to a System of Coupled Hadamard Fractional Boundary Value Problems

Fractal and Fractional
We explore the existence, uniqueness, and multiplicity of positive solutions to a system of Hadamard fractional differential equations that contain fractional integral terms.
Alexandru Tudorache, Rodica Luca
doaj   +1 more source

Positive solutions to integral boundary value problem for a class of fractional differential equations

四川大学学报. 自然科学版, 2017
We investigate the existence of positive solutions for Caputo's fractional differential equations with integral boundary conditions. By means of Krasnosel'skii fixed point theorem and Leggett-Williams fixed point theorem, the existence theorems of one ...
ZHANG Li-Xin, YANG Yu-Jie, JIA Wen-Jing
doaj  

Existence of an antisymmetric solution of a boundary value problem with antiperiodic boundary conditions

Electronic Journal of Qualitative Theory of Differential Equations, 2015
In this work, an application is made of a recent extension of the Leggett-Williams fixed point theorem, commonly referred to as an Avery type fixed point theorem, to a second order boundary value problem with antiperiodic boundary conditions.
Jeffrey Lyons, Jeffrey Neugebauer
doaj   +1 more source