关于奇摄动拟线性系统

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On Singularly Perturbed Quasilinear Systems

摘要: 本文目的在于对非线性两点边值问题(1.1)证明其解存在的充分条件。并利用这一结果研究拟线性弱耦合奇摄动系统(DP)^q的边界层现象。

Abstract: In this paper,the objective is to give sufficient conditions for the existence of solution of the nonlinear two-point boundary value problem(1.1).And we employ these-results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system(DP)_q.

[1]	Lin Zong-chi Boundary and angular layer behaviour in singular perturbed quasilinear systems,Appl.Math.and Mech.7,5(1986),433-441.
[2]	Scorza-Dragoni,Sur problema dei valori ai limiti peri systemi di equazioni differenziali del secondo ordine,Boll.Un.Mat.Ital.,14(1935),225-230.
[3]	Jackson,L.K.,Subfunctions and second-order ordinary differential inequalities,Adv.in Math.2(1968),308-363.
[4]	Schrader,K.W.,Existence theorems for second order boundary value problems,J.Differential Eqs.,5(1969),572-584.
[5]	Schmitt.Klaus,A nonlinear boundary value problem.J.Differential Eqs.7(1970),527-537.
[6]	Heidel,J.W.,A second-order nonlinear boundary value problem,J.Math.Anal.Appl.,48(1974),493-503.
[7]	O'Donnell,M.A.,Boundary and interior layer behavior in singularly perturbed system of boundary value problems,Doctoral Diss.,U,C.Davis(1983).