Unique positive solution for an alternative discrete Painlevé I equation [PDF]
, 2015 We show that the alternative discrete Painlevé I equation (alt-) has a unique solution which remains positive for all . Furthermore, we identify this positive solution in terms of a special solution of the second Painlevé equation () involving the Airy ...
Peter A. Clarkson +2 more
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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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Algebraic Systems with Positive Coefficients and Positive Solutions
Mathematics, 2022 The paper is devoted to the existence, uniqueness and nonuniqueness of positive solutions to nonlinear algebraic systems of equations with positive coefficients. Such systems appear in large numbers of applications, such as steady-state equations in continuous and discrete dynamical models, Dirichlet problems, difference equations, boundary value ...
Ana Maria Acu +2 more
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Positive Solutions of Difference Equations [PDF]
Proceedings of the American Mathematical Society, 1990 Proceedings of the American Mathematical ...
Philos, C. G., Sficas, Y. G.
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Existence of a positive solution for a logarithmic Schrödinger equation with saddle-like potential [PDF]
Manuscripta mathematica, 2019 In this article we use the variational method developed by Szulkin (Ann Inst H Poincaré Anal Non Linéire 3:77–109, 1986) to prove the existence of a positive solution for the following logarithmic Schrödinger equation $$\begin{aligned} \left\{ \begin ...
C. O. Alves, Chao Ji
semanticscholar +1 more source
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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Solutions and positive solutions for superlinear Robin problems [PDF]
Journal of Mathematical Physics, 2019 We consider nonlinear, nonhomogeneous Robin problems with a (p − 1)-superlinear reaction term, which need not satisfy the Ambrosetti-Rabinowitz condition. We look for positive solutions and prove existence and multiplicity theorems. For the particular case of the p-Laplacian, we prove existence results under a different geometry near the origin.
N. S. Papageorgiou, C. Vetro, F. Vetro
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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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Solutions and improved perturbation analysis for the matrix equation X-A^{*}X^{-p}A=Q (p>0) [PDF]
, 2012 In this paper the nonlinear matrix equation X-A^{*}X^{-p}A=Q with p>0 is investigated. We consider two cases of this equation: the case p>1 and the case 01, a new sufficient condition for the existence of a unique positive definite solution for the ...
Li, Jing
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A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices [PDF]
, 2009 This paper investigates the uniqueness of a nonnegative vector solution and the uniqueness of a positive semidefinite matrix solution to underdetermined linear systems.
Ao Tang +3 more
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