Results 21 to 30 of about 456,539 (203)
Qualitative properties of solutions for an integral system related to the Hardy-Sobolev inequality [PDF]
, 2014 This article carries out a qualitative analysis on a system of integral equations of the Hardy--Sobolev type. Namely, results concerning Liouville type properties and the fast and slow decay rates of positive solutions for the system are established. For
Villavert, John
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Boundary Value Problems, 2018 In this paper, we discuss the existence of positive solutions of the conformable fractional differential equation Tαx(t)+f(t,x(t))=0 $T_{\alpha }x(t)+f(t,x(t))=0$, t∈[0,1] $t\in [0,1]$, subject to the boundary conditions x(0)=0 $x(0)=0$ and x(1)=λ∫01x(t ...
Wenyong Zhong, Lanfang Wang
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Asymptotic and optimal Liouville properties for Wolff type integral systems [PDF]
, 2016 This article examines the properties of positive solutions to fully nonlinear systems of integral equations involving Hardy and Wolff potentials. The first part of the paper establishes an optimal existence result and a Liouville type theorem for the ...
Caffarelli +36 more
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Boundary Value Problems, 2011 This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions.
Meiqiang Feng, Xuemei Zhang, WeiGao Ge
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A positive fixed point theorem with applications to systems of Hammerstein integral equations [PDF]
, 2014 We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions ...
Cabada, Alberto +2 more
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Positive Solutions of Singular and Nonsingular Fredholm Integral Equations
Journal of Mathematical Analysis and Applications, 1999 The authors consider the nonlinear Fredholm integral equation \[ y(t)=h(t)+ \int^T_0k(t,s) \biggl[f\bigl(y(s) \bigr)+g\bigl(y(s) \bigr)\biggr]ds, \quad t\in [0,T], \] where \(h\in C[0,T]\), \(f:[0,\infty) \to[0,\infty)\) is continuous and nondecreasing, \(g:(0,\infty) \to[0,\infty)\) is continuous and nonincreasing and possibly singular.
Meehan, Maria, O'Regan, Donal
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Nonlinear Analysis, 2014 We study the existence of random positive solutions to a random operator equation on ordered Polish spaces. We apply the results obtained in this paper to study the existence of random positive solutions to some classes of stochastic integral equations.
Mohamed Jleli, Bessem Samet
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A note on the uniqueness and attractive behavior of solutions for nonlinear Volterra equations [PDF]
, 2001 In this paper we prove that positive solutions of some nonlinear Volterra integral equations must be locally bounded and global attractors of positive functions.
Arias, M. R., Benítez Suárez, Rafael
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Positive solutions of nth-order impulsive differential equations with integral boundary conditions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper is concerned with the existence and nonexistence of positive solutions of nth-order impulsive boundary value problem with integral boundary conditions.
Tokmak Fen Fatma, Yaslan Karaca Ilkay
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Advances in Difference Equations, 2020 In this article, a class of integral boundary value problems of fractional delayed differential equations is discussed. Based on the Guo–Krasnoselskii theorem, some existence results on the positive solutions are derived. Two simple examples are given to
Shuai Li, Zhixin Zhang, Wei Jiang
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