一类非线性时滞奇异摄动边值问题的激波解

The shock solution to a class of nonlinear singularly perturbed boundary value problems with time delay

讨论了一类非线性奇异摄动时滞问题的激波解,利用匹配渐近展开法得出了问题解的展开式,并利用微分不等式理论证明了解的一致有效性,最后通过实例验证了所提问题激波解的存在性.

The shock solution for a class of singularly perturbed time delay nonlinear problem were studied.The solution was obtained by using the matching asymptotic expansion,and the uniform validity of the shock solution of the problem was proved by the theory of differential inequalities.Finally,an example was given to verify the existence of the shock solution.