Results 81 to 90 of about 10,090,746 (128)
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Entire solutions of certain type of non-linear differential equations
Mathematica Slovaca, 2020Utilizing Nevanlinna’s value distribution theory of meromorphic functions, we study transcendental entire solutions of the following type nonlinear differential equations in the complex plane f n ( z ) + P ( z , f , f ′ , … , f ( t ) ) = P 1 e α 1 z + P ...
Boqing Xue
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Localized and Expanding Entire Solutions of Reaction–Diffusion Equations
Journal of Dynamics and Differential Equations, 2020This paper is concerned with the spatio-temporal dynamics of nonnegative bounded entire solutions of some reaction–diffusion equations in $$\mathbb {R}^N$$ R N in any space dimension N . The solutions are assumed to be localized in the past.
François Hamel, Hirokazu Ninomiya
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Entire solutions of a variation of the eikonal equation and related PDEs
Proceedings of the Edinburgh Mathematical Society, 2020The aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and g is a polynomial or an entire function in $\mathbb {C}^2$
F. Lü
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Entire solutions of integrodifference equations
Journal of difference equations and applications (Print), 2019This paper is concerned with the existence of nontrivial entire solutions of integrodifference equations. By constructing proper auxiliary integrodifference equations and functions, we present the existence of nontrivial entire solutions even if the ...
Li Zhang, Shuxia Pan
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Bifurcation and regularity of entire solutions for the planar nonlinear Schrödinger–Poisson system
Mathematische Annalen, 2023Patrizia Pucci +2 more
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Entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities
Nonlinearity, 2019The paper is concerned with the existence and qualitative properties of entire solutions for a delayed nonlocal dispersal system with monostable nonlinearities. We first prove the existence of traveling wave fronts and a spatially independent solution of
Yanling Meng +2 more
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Entire solutions originating from traveling fronts for a two-species competition-diffusion system
Nonlinearity, 2019This paper deals with entire solutions (classical solutions defined globally in time and space) of a two-species strong competition model. For this system, it is well known that there exist two-front entire solutions which behave as two traveling fronts ...
Jong-Shenq Guo, Chang-Hong Wu
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Existence of entire solutions of Monge–Ampère equations with prescribed asymptotic behavior
Calculus of Variations and Partial Differential Equations, 2018We prove the existence of entire solutions of the Monge–Ampère equations with prescribed asymptotic behavior at infinity of the plane, which was left unsolved by Caffarelli–Li in 2003.
J. Bao, Jingang Xiong, Ziwei Zhou
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