共查询到20条相似文献,搜索用时 0 毫秒
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M.L. Gandarias M.S. Bruzón M. Rosa 《Communications in Nonlinear Science & Numerical Simulation》2013,18(7):1600-1606
In this work we study a generalization of the well known Fisher equation. We determine the subclasses of these equations which are nonlinear self-adjoint. By using a general theorem on conservation laws proved by Nail Ibragimov and the symmetry generators we find conservation laws for these partial differential equations without classical Lagrangians. 相似文献
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We discuss a generalized Fisher equation with a convolution term which introduces a time-delay in the nonlinearity. Special attention is paid to the existence and the asymptotic behavior of travelling wavefronts connecting two uniform steady states. 相似文献
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B.G Pachpatte 《Journal of Mathematical Analysis and Applications》1985,106(1):85-90
Theorems on the existence, uniqueness and continuous dependence of the solution of a generalized Hammerstein-type integral equation are given. The well-known Banach fixed-point theorem is employed to establish the results. 相似文献
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B.G Pachpatte 《Journal of Mathematical Analysis and Applications》1985,106(1):85-90
Theorems on the existence, uniqueness and continuous dependence of the solution of a generalized Hammerstein-type integral equation are given. The well-known Banach fixed-point theorem is employed to establish the results. 相似文献
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Lothar Berg 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(10):3305-3310
The paper deals with the functional equation
f(x)=F(f(u(x)),f(v(x))) 相似文献
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Stevo Stevi? 《Journal of Mathematical Analysis and Applications》2011,376(1):317-5318
The boundedness character of positive solutions of the following max-type difference equation
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João R. Santos Júnior Gaetano Siciliano 《Mathematical Methods in the Applied Sciences》2017,40(10):3493-3503
In this paper, we consider a generalized Kirchhoff equation in a bounded domain under the effect of a sublinear nonlinearity. Under suitable assumptions on the data of the problem, we show that, with a simple change of variable, the equation can be reduced to a classical semilinear equation and then studied with standard tools. Copyright © 2016 John Wiley & Sons, Ltd. 相似文献
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Zhang Linghai 《应用数学学报(英文版)》2001,17(2):286-288
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The so-called generalized associativity functional equation has been investigated under various assumptions, for instance when the unknown functions G, H, J, and K are real, continuous, and strictly monotonic in each variable. In this note we investigate the following related problem: given the functions J and K, find every function F that can be written in the form for some functions G and H. We show how this problem can be solved when any of the inner functions J and K has the same range as one of its sections.
相似文献
$$\begin{aligned} G(J(x,y),z) = H(x,K(y,z)) \end{aligned}$$
$$\begin{aligned} F(x,y,z) = G(J(x,y),z) = H(x,K(y,z)) \end{aligned}$$
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Alkis S. Tersenov 《NoDEA : Nonlinear Differential Equations and Applications》2010,17(4):437-452
The present paper is concerned with the initial boundary value problem for the generalized Burgers equation u t + g(t, u)u x + f(t, u) = εu xx which arises in many applications. We formulate a condition guaranteeing the a priori estimate of max |u x | independent of ε and t and give an example demonstrating the optimality of this condition. Based on this estimate we prove the global existence of a unique classical solution of the problem and investigate the behavior of this solution for ε → 0 and t → + ∞. The Cauchy problem for this equation is considered as well. 相似文献
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Maysam Maysami Sadr 《Aequationes Mathematicae》2016,90(3):597-606
We consider the Hyers–Ulam stability of a functional equation for continuous functions on a space on which a topological group acts, analogously to the additive functional equation on a group. We show, among other things, that our generalized additive equation, for continuous functions on a homogeneous space of a strongly amenable topological group, is stable provided that the canonical projection from that group to its homogeneous space is a fiber bundle. 相似文献
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Weikui Ye 《Applicable analysis》2020,99(8):1300-1315
ABSTRACTWe first establish the local well-posedness for a generalized Degasperis-Procesi equation in nonhomogeneous Besov spaces. Then we present a global existence result for the equation. Moreover, we obtain a blow-up criteria and provide a sufficient condition for strong solutions to blow up in finite time. 相似文献