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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 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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Adaptive regularization using the entire solution surface.
Biometrika, 2009 Several sparseness penalties have been suggested for delivery of good predictive performance in automatic variable selection within the framework of regularization. All assume that the true model is sparse. We propose a penalty, a convex combination of the L1- and L∞-norms, that adapts to a variety of situations including sparseness and nonsparseness ...
Wu S, Shen X, Geyer CJ.
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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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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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Nonradial entire solutions for Liouville systems [PDF]
Journal of Differential Equations, 2017 18 pages, accepted on Journal of Differential ...
Battaglia, Luca +2 more
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Weak entire solutions of reaction–interface systems
Discrete and Continuous Dynamical Systems - B, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Yan-Yu +2 more
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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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On the growth of entire solution of a nonlinear differential equation [PDF]
Mathematica Bohemica, 2020 In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
Indrajit Lahiri, Shubhashish Das
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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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