Results 41 to 50 of about 767 (126)
Boundary Value Problems, 2014 In this article, we investigate the Sturm-Liouville boundary value problems of fractional differential equations with p-Laplacian {D0+β(ϕp(D0+αu(t)))+f(t,u(t))=0 ...
Hongling Lu, Z. Han, Shurong Sun
semanticscholar +1 more source
Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs [PDF]
Nonlinear Analysis: Modelling and Control, 19, (2014), 413-431, 2014 We study the existence of nonnegative solutions for a system of impulsive differential equations subject to nonlinear, nonlocal boundary conditions. The system presents a coupling in the differential equation and in the boundary conditions. The main tool that we use is the theory of fixed point index for compact maps.
arxiv +1 more source
Nonlinear Eigenvalues and Bifurcation Problems for Pucci's Operator [PDF]
, 2004 In this paper we extend existing results concerning generalized eigenvalues of Pucci's extremal operators. In the radial case, we also give a complete description of their spectrum, together with an equivalent of Rabinowitz's Global Bifurcation Theorem. This allows us to solve equations involving Pucci's operators.
arxiv +1 more source
, 2013 This work is concerned with the existence and uniqueness of positive solutions for the following fractional boundary value problem: {−D0+νy(t)=f(t,y(t),y(t))+g(t,y(t ...
C. Zhai, Mengru Hao
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Differential Equations & Applications, 2020 In Theorem 3 of [2] I included an extension to the Ascoli theorem. While the statement of the theorem and its later use were correct, the proof has a slight error which I noticed while in the process of writing a sequel.
John S. Spraker
semanticscholar +1 more source
Existence of positive solution for a third-order three-point BVP with sign-changing Green's function [PDF]
, 2013 By using the Guo-Krasnoselskii fixed point theorem, we investigate the following third-order three-point boundary value problem \[ \left\{ \begin{array}{l} u'''(t)=f(t,u(t)),\ t\in [0,1], \\ u'(0)=u(1)=0,\ u''(\eta)+\alpha u(0)=0, \end{array} \right ...
Kong, Fang-Di +2 more
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Advances in Differential Equations, 2014 In this paper, we study the existence of solutions for the boundary value problem of the following nonlinear fractional differential equation: D0+α[x(t)f(t,x(t))]+g(t,x(t))=0 ...
Yige Zhao, Yuzhen Wang
semanticscholar +1 more source
Existence of positive solutions of a superlinear boundary value problem with indefinite weight
, 2015 We deal with the existence of positive solutions for a two-point boundary value problem associated with the nonlinear second order equation $u''+a(x)g(u)=0$. The weight $a(x)$ is allowed to change its sign. We assume that the function $g\colon\mathopen{[}
A. Zettl +11 more
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Advanced Nonlinear Studies, 2021 The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj +1 more source
Some remarks on the comparison principle in Kirchhoff equations [PDF]
, 2018 In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting some previous results.
Malcher Figueiredo, Giovany de Jesus +1 more
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