Results 31 to 40 of about 2,149 (181)

Existence of Positive Solutions to Boundary Value Problems with Mixed Riemann–Liouville and Quantum Fractional Derivatives

Fractal and Fractional, 2023
In this paper, by using the Leggett–Williams fixed-point theorem, we study the existence of positive solutions to fractional differential equations with mixed Riemann–Liouville and quantum fractional derivatives.
Nemat Nyamoradi, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
doaj   +1 more source

Existence of an Antisymmetric Solution of a Boundary Value Problem with Antiperiodic Boundary Conditions [PDF]

, 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.
Lyons, Jeffrey W, Neugebauer, Jeffrey T.
core   +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
doaj   +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 Nonhomogeneous Fourth-Order p-Laplacian Generalized Sturm-Liouville Nonlocal Boundary Value Problems

Discrete Dynamics in Nature and Society, 2012
We study the nonlinear nonhomogeneous n-point generalized Sturm-Liouville fourth-order p-Laplacian boundary value problem by using Leray-Schauder nonlinear alternative and Leggett-Williams fixed-point theorem.
Jian Liu, Zengqin Zhao
doaj   +1 more source

Nontrivial solutions of boundary value problems for second order functional differential equations [PDF]

, 2015
In this paper we present a theory for the existence of multiple nontrivial solutions for a class of perturbed Hammerstein integral equations. Our methodology, rather than to work directly in cones, is to utilize the theory of fixed point index on affine ...
Calamai, Alessandro, Infante, Gennaro
core   +1 more source

Positive Solutions for Boundary Value Problems of Second-Order Functional Dynamic Equations on Time Scales

Advances in Difference Equations, 2009
Criteria are established for existence of least one or three positive solutions for boundary value problems of second-order functional dynamic equations on time scales.
Karaca IlkayYaslan
doaj   +2 more sources

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
doaj   +1 more source

Positive solutions of a boundary value problem for a nonlinear fractional differential equation [PDF]

, 2008
In this paper we give sufficient conditions for the existence of at least one and at least three positive solutions to the nonlinear fractional boundary value problem \begin{eqnarray*} &&D^{\alpha}u + a(t) f(u) = 0, \quad ...
Kaufmann, E., Mboumi, E.
core   +1 more source

Multiple Positive Solutions for Nonlinear First-Order Impulsive Dynamic Equations on Time Scales with Parameter

Advances in Difference Equations, 2009
By using the Leggett-Williams fixed point theorem, the existence of three positive solutions to a class of nonlinear first-order periodic boundary value problems of impulsive dynamic equations on time scales with parameter are obtained.
Da-Bin Wang, Wen Guan
doaj   +2 more sources