Results 11 to 20 of about 421,523 (312)
Entire solutions of diffusive Lotka-Volterra system [PDF]
Journal of Differential Equations, 2020 This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u(1-u-av), & \qquad \ x\in\mathbb{R} \cr v_{t}= d v_{xx}+ rv(1-v-bu), & \qquad \ x\in\mathbb{R} \end{cases} \quad (1) \end{equation} where $d,r,a$, and $b$ are ...
King-Yeung Lam +2 more
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Nagoya Mathematical Journal, 2005 The paper is concerned with description of entire solutions of the partial differential equations where m ≥ 2, n ≥ 2 are integers and g is a polynomial or an entire function in C2. Descriptions are given and complemented by various examples.
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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 ...
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Distributional and entire solutions of linear functional differential equations
International Journal of Mathematics and Mathematical Sciences, 1982 A unified approach to the study of generalized-function and entire solutions to linear functional differential equations with polynomial coefficients is suggested.
Joseph Wiener
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Liouville Theorems for Fractional Parabolic Equations
Advanced Nonlinear Studies, 2021 In this paper, we establish several Liouville type theorems for entire solutions to fractional parabolic equations. We first obtain the key ingredients needed in the proof of Liouville theorems, such as narrow region principles and maximum principles for
Chen Wenxiong, Wu Leyun
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Entire solutions of the euler—poisson equations [PDF]
Ukrainian Mathematical Journal, 2004 Summary: The author gives all entire solutions of the Euler-Poisson equations describing the motion of a rigid body under the action of its own weight.
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AN EXISTENCE RESULT FOR SYSTEMS THAT APPEAR IN [PDF]
Fiabilitate şi Durabilitate, 2012 Many of the engineering developments often occur as a result of the intersection betweenscientific communities with system of differential equations. They, although discussed in manypapers from the specialized literature, still are not completely solved.
Dragoş-Pătru COVEI
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Entire invariant solutions to Monge-Ampère equations [PDF]
Proceedings of the American Mathematical Society, 2004 We prove existence and regularity of entire solutions to Monge-Ampère equations invariant under an irreducible action of a compact Lie group.
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Demonstratio Mathematica, 2023 In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
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Anisotropic entire large solutions
Comptes Rendus. Mathématique, 2011 Given q∈(0,1], we construct nonradial entire large solutions to the equation Δu=uq in RN.
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