Results 31 to 40 of about 457,753 (313)
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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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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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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On positive solutions of the homogeneous Hammerstein integral equation [PDF]
Nanosystems: Physics, Chemistry, Mathematics, 2015 In this paper the existence and uniqueness positive fixed points of the one nonlinear integral operator are discussed. We prove that existence finite positive solutions of the integral equation of Hammerstein type. Obtained results applied to study Gibbs measures for models on a Cayley tree.
ESHKABILOV YU. KH., HAYDAROV F.H.
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
Franco, D., Infante, G., Webb, J.R.L.
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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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Positive solutions for integral boundary value problem of two-term fractional differential equations
Boundary Value Problems, 2018 In this paper, we investigate a class of nonlinear two-term fractional differential equations involving two fractional orders δ∈(1,2] $\delta\in(1,2]$ and τ∈(0,δ) $\tau\in (0,\delta)$ with integral boundary value conditions.
Mengrui Xu, Zhenlai Han
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The Camassa-Holm equation as the long-wave limit of the improved Boussinesq equation and of a class of nonlocal wave equations [PDF]
, 2015 In the present study we prove rigorously that in the long-wave limit, the unidirectional solutions of a class of nonlocal wave equations to which the improved Boussinesq equation belongs are well approximated by the solutions of the Camassa-Holm equation
A. A. Alazman +20 more
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Three positive solutions of a system of Fredholm integral equations
Applied Mathematics Letters, 2004 For the system of Fredholm integral equations \[ u_i(t)= \int_0^1g_i(t,s)f_i\left(s,u_1(s),u_2(s),\dots,u_n(s)\right)\,ds,\quad t\in[0,1],\quad 1\leq i\leq n,\tag{1} \] the authors provide conditions on the nonlinearities \(f_i\) and kernels \(g_i\), so that the system (1) has at least three positive solutions.
Sun, Jian-Ping, Zhao, Ya-Hong
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Bulletin of Mathematical Sciences, 2022 In this paper, we investigate various properties (e.g. nonexistence, asymptotic behavior, uniqueness and integral representation formula) of positive solutions to nonlinear tri-harmonic equations in [Formula: see text] ([Formula: see text]) and bi ...
Wei Dai, Jingze Fu
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