Results 31 to 40 of about 456,539 (203)
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 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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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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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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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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Positive Solutions of Superlinear Hammerstein Integral Equations in Banach Spaces [PDF]
Journal of Integral Equations and Applications, 1997 The existence of one and two positive solutions of the Hammerstein equation in an ordered Banach space is considered. The essential assumptions on the nonlinear function are uniform continuity on balls, superlinearity with respect to the order, and a (mild) compactness assumption. The proofs make use of the fixed point index for condensing operators; a
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Does backreaction enforce the averaged null energy condition in semiclassical gravity? [PDF]
, 1996 The expected stress-energy tensor of quantum fields generically violates the local positive energy conditions of general relativity. However, may satisfy some nonlocal conditions such as the averaged null energy condition (ANEC), which would rule out ...
A. Campos +71 more
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions [PDF]
Discrete Dynamics in Nature and Society, 2020 In this paper, we consider a class of boundary value problems of nonlinear fractional differential equation with integral boundary conditions. By applying the monotone iterative method and some inequalities associated with Green’s function, we obtain the existence of minimal and maximal positive solutions and establish two iterative sequences for ...
Min Li, Jian-Ping Sun, Ya-Hong Zhao
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Journal of Inequalities and Applications, 2020 We consider a class of Caputo fractional p-Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary ...
Luchao Zhang +3 more
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ON THE NONEXISTENCE OF POSITIVE SOLUTION OF A NONLINEAR INTEGRAL EQUATION
Demonstratio Mathematica, 2001 The authors consider the following nonlinear integral equation \[ u(x)= \int_{\mathbb{R}^N} {g(y,u(y))\over|y-x|^\sigma} dy,\quad \text{for all }x \in\mathbb{R}^N \] where \(\sigma\) is a given constant with ...
Nguyen Thanh Long, Duong Thi Thanh Binh
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