Results 31 to 40 of about 17,510,564 (391)

Classification of positive solutions of heat equation with supercritical absorption [PDF]

open access: yes, 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]

open access: yes, 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

A Unique "Nonnegative" Solution to an Underdetermined System: from Vectors to Matrices [PDF]

open access: yes, 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
core   +3 more sources

Existence of positive solution and Hyers–Ulam stability for a nonlinear singular-delay-fractional differential equation

open access: yesAdvances in Differential Equations, 2019
In this article, we consider a study of a general class of nonlinear singular fractional DEs with p-Laplacian for the existence and uniqueness (EU) of a positive solution and the Hyers–Ulam (HU) stability. To proceed, we use classical fixed point theorem
H. Khan   +4 more
semanticscholar   +1 more source

A note on the radial solutions for the supercritical Henon equation [PDF]

open access: yes, 2007
We prove the existence of a positive radial solution for the H\'enon equation with arbitrary growth. The solution is found by means of a shooting method and turns out to be an increasing function of the radial variable. Some numerical experiments suggest
Adimurthi   +19 more
core   +3 more sources

Positive Solutions of Advanced Differential Systems [PDF]

open access: yesThe Scientific World Journal, 2013
We study asymptotic behavior of solutions of general advanced differential systems , where F : Ω → ℝn is a continuous quasi‐bounded functional which satisfies a local Lipschitz condition with respect to the second argument and Ω is a subset in , , yt∈, and yt(θ) = y(t + θ), θ ∈ [0, r]. A monotone iterative method is proposed to prove the existence of a
Mária Kúdelčíková, Josef Diblík
openaire   +4 more sources

Convergence Analysis of iterative Scheme and error estimation of positive solution for a fractional differential equation

open access: yesMathematical Modelling and Analysis, 2018
In this paper, we focus on the iterative scheme and error estimation of positive solutions for a class of p-Laplacian fractional order differential equation subject to Riemann-Stieltjes integral boundary condition.
Xinguang Zhang   +4 more
semanticscholar   +1 more source

Positive Solution of Singular BVPs for System of Dynamic Equations on Time Scales [PDF]

open access: yes, 2012
This paper is devoted to derive some necessary and suficient conditions for the existence of positive solutions to a singular second order system of dynamic equations with Dirichlet boundary conditions.
Lago, Ariadna   +2 more
core   +2 more sources

Existence of positive solution to Kirchhoff-Schrödinger-Poisson system with strong singular term

open access: yesJournal of Mathematics and Physics, 2019
In this paper, we consider the existence of positive solution to the Kirchhoff-Schrodinger-Poisson system with strong singularity. By using the variational method, the necessary and sufficient condition for the existence of a solution is obtained.
Qi S. Zhang
semanticscholar   +1 more source

Right focal boundary value problems for difference equations [PDF]

open access: yesOpuscula Mathematica, 2010
An application is made of a new Avery et al. fixed point theorem of compression and expansion functional type in the spirit of the original fixed point work of Leggett and Williams, to obtain positive solutions of the second order right focal discrete ...
Johnny Henderson   +3 more
doaj   +1 more source

Home - About - Disclaimer - Privacy