Results 51 to 60 of about 1,625 (133)

Existence of a positive solution to a right focal boundary value problem

Electronic Journal of Qualitative Theory of Differential Equations, 2010
In this paper we apply the recent extension of the Leggett-Williams Fixed Point Theorem which requires neither of the functional boundaries to be invariant to the second order right focal boundary value problem.
Richard Avery, Johnny Henderson, Douglas Anderson   +2 more
doaj   +1 more source

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

Open Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon   +3 more
doaj   +1 more source

Multiple positive solutions for the system of higher order two-point boundary value problems on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2009
In this paper, we establish the existence of at least three positive solutions for the system of higher order boundary value problems on time scales by using the well-known Leggett-Williams fixed point theorem.
K. Prasad, P. Murali, N. V. V. S. Suryanarayana   +2 more
doaj   +1 more source

Phenotypic Plasticity, Multiple Paternity, and Shell Shape Divergence Across Lake‐Stream Habitats in a Freshwater Mussel Brood (Pyganodon grandis)

Freshwater Biology, Volume 70, Issue 1, January 2025.
ABSTRACT Hydrodynamic forces and their absence appear to exert differential selection pressure on aquatic biodiversity in lake and stream habitats, creating a tight fit between organismal phenotypes and their environments. Ecophenotypic variants may be the result of genetic differentiation or phenotypic plasticity, where a genotype can produce multiple
Sean M. Keogh, Ben J. Minerich, Lindsay M. Ohlman, Madeline E. Pletta, Anna E. Scheunemann, Zoe K. Schroeder, Zebulin A. Secrist, Alex J. Franzen, Bernard E. Sietman, Andrew M. Simons   +9 more
wiley   +1 more source

Existence and multiplicity of solutions of fractional differential equations on infinite intervals

Boundary Value Problems
In this research, we investigate the existence and multiplicity of solutions for fractional differential equations on infinite intervals. By using monotone iteration, we identify two solutions, and the multiplicity of solutions is demonstrated by the ...
Weichen Zhou, Zhaocai Hao, Martin Bohner
doaj   +1 more source

Existence of positive solutions of boundary value problem with integral boundary condition at resonance

Journal of Hebei University of Science and Technology, 2015
In view of the Leggett-Williams norm-type theorem due to O'Regan and Zima, by using the properties of the cone and Leray-Schauder degree in Banach space, the existence of positive solutions of the second order boundary value problem with integral ...
Weihua JIANG, Caixia YANG
doaj   +1 more source

Positive solutions to n-dimensional α1+α2 $\alpha _{1}+\alpha _{2}$ order fractional differential system with p-Laplace operator

Advances in Difference Equations, 2019
In this paper, we study an n-dimensional fractional differential system with p-Laplace operator, which involves multi-strip integral boundary conditions.
Tian Wang, Guo Chen, Huihui Pang
doaj   +1 more source

Existence of Three Positive Solutions for a Class of Boundary Value Problems of Caputo Fractional q-Difference Equation

Discrete Dynamics in Nature and Society, 2018
A class of boundary value problems of Caputo fractional q-difference equation is introduced. Green’s function and its properties for this problem are deduced.
Huiqin Chen, Shugui Kang, Lili Kong, Ying Gao   +3 more
doaj   +1 more source

Three symmetric positive solutions for Lidstone problems by a generalization of the Leggett-Williams theorem

Electronic Journal of Differential Equations, 2000
The authors deal with the existence of three positive solutions to the so-called Lidstone BVP \[ y^{(4)}=f(y,-y''), 0\leq t\leq 1, y(0)=y''(0)=y(1)=y''(1)=0. \] These solutions are required to be symmetric in the sense that they satisfy \(y(t)=y(1-t),\) for all \(t\in[0,1].\) The paper is organized as follows: In section 2 the authors provide some ...
Richard I. Avery, John M. Davis, Johnny Henderson   +2 more
openaire   +2 more sources

Multiple Positive Solutions of Nonlinear Boundary Value Problem for Finite Fractional Difference

Abstract and Applied Analysis, 2014
We consider a discrete fractional nonlinear boundary value problem in which nonlinear term f is involved with the fractional order difference. And we transform the fractional boundary value problem into boundary value problem of integer order difference
Yansheng He, Mingzhe Sun, Chengmin Hou
doaj   +1 more source