Abstract In this paper, a singularly perturbed nonlinear mixed boundary value problem for third-order semilinear differential equation is studied. The formal asymptotic solution to this problem is constructed by the method of boundary layer functions. According to the theory of differential inequalities, the existence of solution is proved and the error estimate of asymptotic solution is given. Finally, the exponential decay of boundary layer functions for this problem is concluded.
CHEN Wen, YAO Jing-sun, SUN Guo-zheng. A nonlinear mixed boundary value problem for singularly perturbed differential equation. Applied Mathematics A Journal of Chinese Universities, 2015, 30(1): 117-126.
