Results 11 to 20 of about 11,651,840 (352)
Entire solutions for several Fermat type differential difference equations
AIMS Mathematics, 2022 This paper is devoted to investigate the existence and the forms of entire solutions of several Fermat type quadratic trinomial differential difference equations. Our results improve some results due to Liu and Yang [An. Stiint. Univ. Al. I.
Minghui Zhang +2 more
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AIMS Mathematics, 2021 In this paper, we study the transcendental entire solutions for the nonlinear differential-difference equations of the forms: $ \begin{eqnarray*} f^{2}(z)+\widetilde{\omega} f(z)f'(z)+q(z)e^{Q(z)}f(z+c) = u(z)e^{v(z)}, \end{eqnarray*} $ and $ \
Nan Li, Jiachuan Geng, Lianzhong Yang
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Entire solutions of Donaldson’s equation [PDF]
Pacific Journal of Mathematics, 2012 A serious blunder was found in a previous version of the ...
Weiyong He
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Semi-Supervised Novelty Detection Using SVM Entire Solution Path
IEEE Transactions on Geoscience and Remote Sensing, 2013 F. D. Morsier +4 more
semanticscholar +3 more sources
Entire solutions to semilinear nonlocal equations in $\RR^2$ [PDF]
, 2015 We consider entire solutions to $L u= f(u)$ in $\RR^2$, where $L$ is a general nonlocal operator with kernel $K(y)$. Under certain natural assumtions on the operator $L$, we show that any stable solution is a 1D solution.
Ros-Oton, Xavier, Sire, Yannick
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Large energy entire solutions for the Yamabe equation
Journal of Differential Equations, 2011 The paper under review deals with the construction of finite energy solutions to the Yamabe equation in the whole space \({\mathbb R}^n\). The authors develop an approach which provides examples of non-radial solutions in all dimensions \(n \geq 3\), at the same time providing fine knowledge on the core asymptotic behavior.
Manuel Del Pino +3 more
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Entire Solution in Cylinder-Like Domains for a Bistable Reaction–Diffusion Equation [PDF]
, 2016 We construct nontrivial entire solutions for a bistable reaction–diffusion equation in a class of domains that are unbounded in one direction. The motivation comes from recent results of Berestycki et al.
Antoine Pauthier
semanticscholar +1 more source
AIMS Mathematics, 2021 By making use of the Nevanlinna theory and difference Nevanlinna theory of several complex variables, we investigate some properties of the transcendental entire solutions for several systems of partial differential difference equations of Fermat type ...
Hong Li , Keyu Zhang, Hongyan Xu
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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 nonexistence of entire k-convex radial solutions to Hessian type system
Advances in Differential Equations, 2021 In this paper, a Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire k -convex radial solutions is established by the monotone iterative ...
Jixian Cui
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