Results 1 to 10 of about 421,523 (312)
Entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity [PDF]
Advances in Difference Equations, 2018 This paper is concerned with the existence of entire solutions for a reaction–diffusion equation with doubly degenerate nonlinearity. Here the entire solutions are the classical solutions that exist for all (x,t)∈R2 $(x,t)\in \mathbb{R}^{2}$.
Rui Yan, Xiaocui Li
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Entire solutions of nonlinear differential-difference equations. [PDF]
Springerplus, 2016 In this paper, we describe the properties of entire solutions of a nonlinear differential-difference equation and a Fermat type equation, and improve several previous theorems greatly. In addition, we also deduce a uniqueness result for an entire function f(z) that shares a set with its shift [Formula: see text], which is a generalization of a result ...
Li C, Lü F, Xu J.
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Entire solutions for the heat equation
Electronic Journal of Differential Equations, 2021 We consider the solutions of the heat equation $$ \partial_t F = \partial_z^2 F $$ which are entire in z and t (caloric functions). We examine the relation of the z-order and z-type of an entire caloric function \(F(t, z)\), viewed as function of z, to its t-order and t-type respectively, if it is viewed as function of \(t\). Also, regarding the zeros \
Vassilis G. Papanicolaou +2 more
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Existence of entire solutions of some non-linear differential-difference equations [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we investigate the admissible entire solutions of finite order of the differential-difference equations ( f ′ ( z ) ) 2 + P 2 ( z ) f 2 ( z + c ) = Q ( z ) e α ( z ) $(f'(z))^{2}+P^{2}(z)f^{2}(z+c)=Q(z)e^{\alpha(z)}$ and ( f ′ ( z ) ) 2 + [
Minfeng Chen, Zongsheng Gao, Yunfei Du
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Entire solutions for a delayed lattice competitive system [PDF]
Advances in Difference Equations, 2019 In this paper, we investigate the existence of entire solutions for a delayed lattice competitive system. Here the entire solutions are the solutions that exist for all (n,t)∈Z×R $(n,t)\in \mathbb{Z}\times \mathbb{R}$. In order to prove the existence, we
Rui Yan, Yang Wang, Meiping Yao
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Bounded entire solutions of elliptic equations [PDF]
Pacific Journal of Mathematics, 1973 Avner Friedman
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Entire solutions of semilinear elliptic equations
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
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Entire solutions for some critical equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2022 We complete the study started in the paper [P. Pucci, L.Temperini, On the concentration-compactness principle for Folland-Stein spaces and for fractional horizontal Sobolev spaces, Math. Eng. 5 (2023), Paper no.
Patrizia Pucci, Letizia Temperini
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Negatively Invariant Sets and Entire Solutions [PDF]
Journal of Dynamics and Differential Equations, 2010 Negatively invariant compact sets of autonomous and nonautonomous dynamical systems on a metric space, the latter formulated in terms of processes, are shown to contain a strictly invariant set and hence entire solutions. For completeness the positively invariant case is also considered. Both discrete and continuous time systems are considered.
Kloeden, Peter E., Marín Rubio, Pedro
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Existence and multiplicity results for quasilinear equations in the Heisenberg group [PDF]
Opuscula Mathematica, 2019 In this paper we complete the study started in [Existence of entire solutions for quasilinear equations in the Heisenberg group, Minimax Theory Appl. 4 (2019)] on entire solutions for a quasilinear equation \((\mathcal{E}_{\lambda})\) in \(\mathbb{H}^{n}
Patrizia Pucci
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