Results 11 to 20 of about 4,397,166 (245)

Entire solutions of semilinear elliptic equations [PDF]

Electronic Journal of Differential Equations, 2004
We consider existence of entire solutions of a semilinear elliptic equation $Delta u= k(x) f(u)$ for $x in mathbb{R}^n$, $nge3$. Conditions of the existence of entire solutions have been obtained by different authors.
Alexander Gladkov, Nickolai Slepchenkov
doaj   +3 more sources

Entire solutions of the spruce budworm model

Advances in Difference Equations, 2018
This paper is concerned with the entire solutions of the spruce budworm model, i.e., solutions defined for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$. Using the comparison argument and sub-super-solution method, three types of the entire solutions are ...
Lina Wang
doaj   +2 more sources

On Entire Function Solutions to Fermat Delay-Differential Equations

Axioms, 2022
This paper concerns the existence and precise expression form of entire solutions to a certain type of delay-differential equation. The significance of our results lie in that we generalize and supplement the related results obtained recently.
Xue-Ying Zhang, Ze-Kun Xu, Wei-Ran Lü
doaj   +2 more sources

Construction of entire solutions for semilinear parabolic equations [PDF]

Electronic Journal of Differential Equations, 2008
Entire solutions of parabolic equations (those which are defined for all time) are typically rather rare. For example, the heat equation has exactly one entire solution - the trivial solution.
Michael Robinson
doaj   +2 more sources

Entire solutions of Fermat type q-difference differential equations [PDF]

Electronic Journal of Differential Equations, 2013
In this article, we describe the finite-order transcendental entire solutions of Fermat type $q$-difference and $q$-difference differential equations. In addition, we investigate the similarities and other properties among those solutions.
Kai Liu, Ting-Bin Cao
doaj   +2 more sources

Entire solutions for nonlinear differential-difference equations

Electronic Journal of Differential Equations, 2015
In this article, we study entire solutions of the nonlinear differential-difference equation $$ q(z)f^{n}(z)+a(z)f^{(k)}(z+1)=p_1(z)e^{q_1(z)}+p_2(z)e^{q_2(z)} $$ where $p_1(z)$, $p_2(z)$ are nonzero polynomials, $q_1(z)$, $q_2(z)$ are ...
Na Xu, Ting-Bin Cao, Kai Liu
doaj   +1 more source

Entire invariant solutions to Monge-Ampere equations

, 2004
We prove existence and regularity of entire solutions to Monge-Ampere equations invariant under an irreducible action of a compact Lie ...
Bielawski, R.
core   +4 more sources

Properties of entire solutions of some linear PDE's [PDF]

Journal of Applied Mathematics and Computational Mechanics, 2017
In this paper, there are improved sufficient conditions of boundedness of the L-index in a direction for entire solutions of some linear partial differential equations. They are new even for the one-dimensional case and L≡1.
Andriy Bandura, Oleh Skaskiv, Petro Filevych   +2 more
doaj   +4 more sources

Polyhedral entire solutions in reaction-diffusion equations [PDF]

This paper studies polyhedral entire solutions to a bistable reaction-diffusion equation in Rn. We consider a pyramidal traveling front solution to the same equation in Rn+1.
Taniguchi, Masaharu
core   +1 more source

Bridging the Loneliness Gap: Depression, Connectivity, and Isolation in Pediatric Oncology Patients and Their Peers

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld, Scott H. Maurer, Michelle D. Watkinson, John Nury, Elise Barberis, Molly C. Mack   +5 more
wiley   +1 more source