Stability Inequalities for One-Dimensional Singular Perturbation Problems

摘要: AbstractWe establish stability inequalities for quasi-linear singularly perturbed twopoint boundary value problems. Our approach uses integral representations of the exact solution in terms different approximate solutions, like WKB asymptotic solutions. We prove our under conditions which are more general than those required similar results obtained by Lorenz 1982 and Kopteva 2001. This is illustrated several examples. Moreover, an example nonturning-point case shows that sharper.