一类奇摄动反应扩散系统*
A Class of Singularly Perturbed Reaction Diffusion Systems
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Abstract: A class of singularly perturbed reaction diffusion systems are considered. Under suitable conditions, using the comparison theorem the asymptotic behavior of solution for the initial boundary value problems is studied.
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Key words:
- reaction diffusion /
- singular perturbation /
- comparison theorem
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[1] A. H. Nayfeh, InIroduction to Perturbation Techniques, John Wiley & Sons, New York(1981). [2] C. V. Pao, Comparison methods and stability analysis of reaction diffusion systems,Lecture Notes in Pure and Appl. Math., 162 (1994), 277~292. [3] Mo Jiaqi, Singular perturbation for a class of nonlinear reaction diffusion systems,Science in China, 32 (1989), 1306~1315. [4] Mo Jiaqi, A class of singularly perturbed nonlinear reaction diffusion integral-differentiaequation, Proceedings of the International Conference on IEBVP, World Scientific,Singapore (1991), 153~160. [5] 莫嘉琪,一类反应扩散方程组初值一边值问题的奇摄动,应用数学和力学,12(4) (1991), 375-384 [6] Mo Jiaqi, Singular perturbation for a reaction diffusion system in bacteria growth, ActaMath. Sci., 12 (1992), 381~388. [7] 莫嘉琪,非线性时滞反应扩散方程组的奇摄动,数学研究与评论,13 (1993), 541-547. [8] 莫嘉琪、许玉兴,一类奇摄动非线性反应扩散积分微分方程组,应用数学学报,17 (1994),278-286.
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