Results 1 to 10 of about 1,891,065 (248)
Existence of Classical Solutions for Nonlinear Elliptic Equations with Gradient Terms
Entropy, 2022 This paper deals with the existence of solutions of the elliptic equation with nonlinear gradient term −Δu=f(x,u,∇u) on Ω restricted by the boundary condition u|∂Ω=0, where Ω is a bounded domain in RN with sufficiently smooth boundary ∂Ω, N≥2, and f:Ω¯×R×
Yongxiang Li, Weifeng Ma
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Positive Solution For Eigen value Problems [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2010 Studying the boundary value problem :- Values of the parameter ( ) are determined for which this problem has a positive solution. The methods used here extend recent works by a simple application of a Fixed Point Theorem in cones . I show the existence
Saleh . M . Hussein
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Positive Solutions of Difference Equations [PDF]
Proceedings of the American Mathematical Society, 1990 Necessary and sufficient condition for existence of positive solutions of the difference equation \((E)\quad (-1)^{m-1}\Delta^ mA_ n+\sum^{\infty}_{k=0}p_ kA_{n-\ell_ k}=0\) is established, where m is a positive integer, \((p_ k)_{k\geq 0}\) is a sequence of positive real numbers, \((\ell_ k)_{k\geq 0}\) is a sequence of integers with \(0\leq \ell_ ...
Philos, C. G., Sficas, Y. G.
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On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay [PDF]
Opuscula Mathematica, 2014 We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the ...
Emmanuel K. Essel, Ernest Yankson
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Positive Solutions of Positive Linear Equations [PDF]
Proceedings of the American Mathematical Society, 1972 Let B B be a real vector lattice and a Banach space under a semimonotonic norm. Suppose T T is a linear operator on B B which is positive and eventually compact, y y is a positive vector, and λ \lambda is a positive real. It is shown that (
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On Positivity Sets for Helmholtz Solutions
Vietnam Journal of Mathematics, 2023 AbstractWe address the question of finding global solutions of the Helmholtz equation that are positive in a given set. This question arises in inverse scattering for penetrable obstacles. In particular, we show that there are solutions that are positive on the boundary of a bounded Lipschitz domain.
Pu-Zhao Kow +2 more
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Nonlinear Analysis, 2018 In this article, we study a class of nonlinear fractional differential equations with mixed-type boundary conditions. The fractional derivatives are involved in the nonlinear term and the boundary conditions. By using the properties of the Green function,
Fang Wang +3 more
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Existence of nonnegative solutions for a nonlinear fractional boundary value problem [PDF]
E-Journal of Analysis and Applied Mathematics, 2019 This paper deals with the existence of solutions for a class of boundary value problem (BVP) of fractional differential equation with three point conditions via Leray-Schauder nonlinear alternative.
Assia Guezane-Lakoud +1 more
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Positive solution for a nonlocal problem with strong singular nonlinearity
Open Mathematics, 2023 In this article, we consider a nonlocal problem with a strong singular term and a general weight function. By using Ekeland’s variational principle, we prove a necessary and sufficient condition for the existence of a positive solution.
Wang Yue +3 more
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On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Nonlinear Analysis, 2006 This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
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