asymptotic expansion
2.Asymptotic Expansion for Bernstein Polynomials Defined on a Simplex and the Higher Difference About Degree~*
3.A class of nonlinear singularly perturbed elliptical problems with boundary perturbation are considered. The uniform valid of the constructed asymptotic expansion is proved.
4.Using the matching condition, a class of nonlinear singularly perturbed problems for two boundary layers are discussed. asymptotic expansion of solution for boundary value problem are obtain.
5.Under appropriate assumptions, the existence of solution is proved by means of the theory of differential inequalities and the uniformly valid asymptotic expansion for arbitrary nthorder is obtained.
6.By introducing proper stretchy variable and constructing boundary layer function, it concludes N-order approximate solution, and using theory of differential inequality, uniformly validity of asymptotic expansion is proved.
7.To discuss a type of reaction diffusion system with functional reaction and periodic coefficients.The existence and stability of periodic solution are studied by using the bifurcation theory,linear stability theory and the method of asymptotic expansion.
8.A singular perturbation of Goursat problem for the hyperbolic partial dif-ferential equation εu_(xy)+f(u)u_x=0 is considered. We proved that there exists a unique solution and obtained a uniformly valid asymptotic expansion.
9.Different from the scattering theory used in the derivation of conventional generalized screen propagator, in this paper, a high order formula of generalized screen propagator for one-way wave equation is proposed by using the asymptotic expansion of single-square-root operator.
