Publications (212)121.84 Total impact

Article: Positive solutions for a system of difference equations with coupled multipoint boundary conditions
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ABSTRACT: We investigate the existence and nonexistence of positive solutions for a system of nonlinear secondorder difference equations with parameters subject to coupled multipoint boundary conditions. 
Article: Positive solutions of discrete Neumann boundary value problems with signchanging nonlinearities
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ABSTRACT: Our concern is the existence of positive solutions of the discrete Neumann boundary value problem { − Δ 2 u ( t − 1 ) = f ( t , u ( t ) ) , t ∈ [ 1 , T ] Z , Δ u ( 0 ) = Δ u ( T ) = 0 , where f : [ 1 , T ] Z × R + → R is a signchanging function. By using the GuoKrasnosel’skiĭ fixed point theorem, the existence and multiplicity of positive solutions are established. The nonlinear term f ( t , z ) may be unbounded below or nonpositive for all ( t , z ) ∈ [ 1 , T ] Z × R + . MSC: 39A12, 39A10, 34B09.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we prove an existence result and we initiate the question of attractivity of solutions for initial value problems (IVP for short), for fractional order neutral differential equations with finite delay. The proof of the main result is based on Krasnosel’skii’s fixed point theorem. © 2015 Korean Society for Computational and Applied Mathematics 
Article: Boundaryvalue problems for riemannliouville fractional differential inclusions in banach spaces
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ABSTRACT: In this article, we sudy the existence of solutions of boundaryvalue problems for RiemannLiouville fractional differential inclusions of order r Є (2, 3] in a Banach space.  [Show abstract] [Hide abstract]
ABSTRACT: We study the existence and nonexistence of positive solutions of some systems of nonlinear secondorder difference equations subject to multipoint boundary conditions which contain some positive constants.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper we consider the Neumann boundary value problem at resonance(Formula presented.) We assume that the nonlinear term satisfies the inequality (Formula presented.) , (Formula presented.) , where (Formula presented.) , and (Formula presented.) The problem is transformed into a nonresonant positone problem and positive solutions are obtained by means of a Guo–Krasnosel'ski˘ı fixed point theorem. 
Article: Nonexistence of positive solutions for a system of coupled fractional boundary value problems
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ABSTRACT: We investigate the nonexistence of positive solutions for a system of nonlinear RiemannLiouville fractional differential equations with coupled integral boundary conditions. MSC: 34A08, 45G15.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper we study fractional differential inclusions in the sense of Almgren. We begin with a discussion of multiplevalued functions in the Almgren sense and include the basic results needed to make the paper selfcontained. Sufficient background on the fractional calculus is provided to make the material accessible also to the nonspecialist readers. Our main result gives sufficient conditions for the existence of at least one solution to the problem under investigation. In addition, we show that the solution set to the problem is compact.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we investigate the existence of solutions for nonlocal boundary value problems for Riemann–Liouville fractional differential inclusions of order \({\alpha\in (1,2]}\) .  [Show abstract] [Hide abstract]
ABSTRACT: We investigate the existence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with coupled integral boundary conditions. 
Article: Positive solutions for systems of nonlinear secondorder multipoint boundary value problems
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ABSTRACT: We study the existence of positive solutions for systems of secondorder nonlinear ordinary differential equations, subject to multipoint boundary conditions. Copyright © 2013 John Wiley & Sons, Ltd.  [Show abstract] [Hide abstract]
ABSTRACT: For the thirdorder differential equation y′″ = ƒ(t, y, y′, y″), where , questions involving ‘uniqueness implies uniqueness’, ‘uniqueness implies existence’ and ‘optimal length subintervals of (a, b) on which solutions are unique’ are studied for a class of twopoint boundaryvalue problems. 
Article: Omitted ray fixed point theorem
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ABSTRACT: This paper presents an alternative formulation of the omitted ray fixed point theorem which is a generalization of LeggettWilliams fixed point theorems utilizing a functional version of Altman's condition.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we make application of some threecritical points results to establish the existence of at least three solutions for a boundary value problem for the quasilinear second order differential equation on a compact interval [a, b] ⊂ ℝ, (Formula Presented), under appropriate hypotheses. We exhibit the existence of at least three (weak) solutions.  [Show abstract] [Hide abstract]
ABSTRACT: We apply the theory for u 0positive operators to obtain eigenvalue comparison results for a fractional boundary value problem with the Caputo derivative.  [Show abstract] [Hide abstract]
ABSTRACT: In this article we study a wellknown boundary value problem u‴ (t) = f(t,u(t)), 0 < t < 1, u(0) = u′ (1/2) = u″ (1) = 0. With u′ (η) = 0 in place of u′(1/2) = 0, many authors studied the existence of positive solutions of both the positone problems with η > 1/2 and the semipositone problems for η > 1/2. It is wellknown that the standard method successfully applied to the semipositone problem with η > 1/2 does not work for η = 1/2 in the same setting. We treat the latter as a problem with a signchanging term rather than a semipositone problem. We apply Krasnosel'skii's fixed point theorem [4] to obtain positive solutions.  [Show abstract] [Hide abstract]
ABSTRACT: We use a global bifurcation theorem to prove the existence of nodal solutions to the singular secondorder twopoint boundaryvalue problem (pu')'(t) = f(t, u(t)) t is an element of(xi, eta), au(xi)  b lim (t >xi) p(t)u'(t) = 0, cu(eta) vertical bar d lim (t >eta) p(t) u'(t) = 0, where xi, eta, a, b, c, d are real numbers with where xi < eta, a, b, c, d >= 0 , p : (xi,eta) > [0, + infinity) is a measurable function with integral(eta)(xi) 1/p(s) ds < infinity and f : [xi, eta] x [0, +infinity) > [0, +infinity) is a Caratheodory function.  [Show abstract] [Hide abstract]
ABSTRACT: Under certain conditions, solutions of the boundary value problem, y(n) = f(x,y,y′,...,y(n1)),a<x<b,y(i1)(x1)=yi,i=1;...,n1,y(x2)∑mi=1Υi∫ηiξiy(x)dx=yn,a<x1<ξ1<η1<ξ2<η2<...<ξm<ηm<x2 <b,are differentiated with respect to the boundaryconditions.  [Show abstract] [Hide abstract]
ABSTRACT: In this paper, we apply two theorems from triple critical points theory to establish the existence of at least three solutions for the quasilinear second order differential equations on a compact interval [a, b] subset of R, {(p(i)  1)vertical bar u(i)'(x)vertical bar(pi) (2)u(i)''(x) = lambda Fui (x, u(1), ... , u(n))h(i)(x, u(i)'), x is an element of (a, b), u(i)(a) = u(i)(b) = 0, for 1 <= i <= n, under appropriate hypotheses. The obtained results extend some existing results on the subject.  [Show abstract] [Hide abstract]
ABSTRACT: Under certain conditions, solutions of the boundary value problem, y″= f(x, y, y′), a < X < b, y(x1) = y1,∫x1x2 y(x)dx = y2, a < x1 < x2 < b, are differentiated with respect to the boundary conditions.
Publication Stats
3k  Citations  
121.84  Total Impact Points  
Top Journals
Institutions

20022015

Baylor University
 Department of Mathematics
Waco, Texas, United States


19872003

Auburn University
 Department of Mathematics & Statistics
Auburn, Alabama, United States


19992000

Tamkang University
 Department of Mathematics
Taipei, Taipei, Taiwan


1984

University of Missouri
 Department of Mathematics
Columbia, Missouri, United States
