Results 21 to 30 of about 158 (111)
Advances in Nonlinear Analysis, 2019 This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
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An inertial manifold and the principle of spatial averaging
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 5, Page 293-299, 2001., 2001 We examine the existence of inertial manifold of a class of differential equations with particular boundary conditions.
Hyukjin Kwean
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Drift perturbation’s influence on traveling wave speed in KPP-Fisher system
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 This paper dressed the drift perturbation effects on the traveling wave speed in a reaction-diffusion system. We prove the existence of a traveling front solution of a KPP-Fisher equation and we show an asymptotic expansion of her speed.
Dkhil Fathi, Mannoubi Bechir
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Local existence result of the single dopant diffusion including cluster reactions of high order
Abstract and Applied Analysis, Volume 6, Issue 1, Page 13-34, 2001., 2001 We consider the pair diffusion process which includes cluster reactions of high order. We are able to prove a local (in time) existence result in arbitrary space dimensions. The model includes a nonlinear system of reaction‐drift‐diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic ...
R. Bader, W. Merz
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Sharp profiles for diffusive logistic equation with spatial heterogeneity
Advanced Nonlinear Studies, 2023 In this article, we study the sharp profiles of positive solutions to the diffusive logistic equation. By employing parameters and analyzing the corresponding perturbation equations, we find the effects of boundary and spatial heterogeneity on the ...
Xing Yan-Hua, Sun Jian-Wen
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Attractors of multivalued semiflows generated by differential inclusions and their approximations
Abstract and Applied Analysis, Volume 5, Issue 1, Page 33-46, 2000., 2000 We prove the existence of global compact attractors for differential inclusions and obtain some results concerning the continuity and upper semicontinuity of the attractors for approximating and perturbed inclusions. Applications are given to a model of regional economic growth.
Alexei V. Kapustian, José Valero
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Reaction diffusion equations and quadratic convergence
International Journal of Stochastic Analysis, Volume 10, Issue 2, Page 179-186, 1997., 1996 In this paper, the method of generalized quasilinearization has been extended to reaction diffusion equations. The extension includes earlier known results as special cases. The earlier results developed are when (i) the right‐hand side function is the sum of a convex and concave function, and (ii) the right‐hand function can be made convex by adding a
A. S. Vatsala +2 more
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Open Mathematics, 2020 In this paper, the blow-up analyses in nonlocal reaction diffusion equations with time-dependent coefficients are investigated under Neumann boundary conditions.
Tian Huimin, Zhang Lingling
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Flow invariance for perturbed nonlinear evolution equations
Abstract and Applied Analysis, Volume 1, Issue 4, Page 417-433, 1996., 2000 Let X be a real Banach space, J = [0, a] ⊂ R, A : D(A) ⊂ X → 2X\ϕ an m‐accretive operator and f : J × X → X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K ⊂ X for the evolution system u′ + Au∍f(t, u) on J = [0, a].
Dieter Bothe
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Explicit solutions of Fisher′s equation with three zeros
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 3, Page 617-620, 1990., 1990 Explicit traveling wave solutions of Fisher′s equation with three simple zeros ut = uxx + u(1 − u)(u − a), a ∈ (0, 1), are obtained for the wave speeds suggested by pure analytic considerations. Two types of solutions are obtained: one type is of a permanent wave form whereas the other is not.
M. F. K. Abur-Robb
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