Results 11 to 20 of about 5,799,011 (326)
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
doaj +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
doaj +1 more source
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.
openaire +3 more sources
Electronic Journal of Differential Equations, 2012 In this work, we study the existence and uniqueness of positive solutions for nonlinear fractional differential equation boundary-value problems. Our analysis relies on a fixed point theorem of a sum operator. Our results guarantee the existence of a
Chen Yang, Chengbo Zhai
doaj +1 more source
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
doaj +1 more source
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 (
openaire +2 more sources
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
core +3 more sources
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
openaire +5 more sources
Classification of positive solutions of heat equation with supercritical absorption [PDF]
, 2013 Let $q\geq 1+\frac{2}{N}$. We prove that any positive solution of (E) $\prt_t u-\xD u+u^q=0$ in $\mathbb{R}^N\times(0,\infty)$ admits an initial trace which is a nonnegative Borel measure, outer regular with respect to the fine topology associated to the
Gkikas, Konstantinos, Veron, Laurent
core +3 more sources
On the maximum value of ground states for the scalar field equation with double power nonlinearity [PDF]
, 2009 We evaluate the maximum value of the unique positive solution to semilinear elliptic equations with double power nonlinearities. It is known that a positive solution to this problem exists under some condition.Moreover, Ouyang and Shi in 1998 found that ...
Kawano, Shinji
core +2 more sources