A singularly perturbed eigenvalue Robin problem with turning point of higher order is studied, which can describe some heat conduction phenomena. Using the method of Langer transformation, the uniformly asymptotic sol...A singularly perturbed eigenvalue Robin problem with turning point of higher order is studied, which can describe some heat conduction phenomena. Using the method of Langer transformation, the uniformly asymptotic solution of the equation is obtained, which is expressed by Bessel function, and the eigenvalue and eigenfunction of the problem are given, and then the known result is generalized.展开更多
基金Supported by the Projects of the National Natural Science Foundation of China (10471039)the Natural Science Foundation of Zhejiang Province (102009).
文摘A singularly perturbed eigenvalue Robin problem with turning point of higher order is studied, which can describe some heat conduction phenomena. Using the method of Langer transformation, the uniformly asymptotic solution of the equation is obtained, which is expressed by Bessel function, and the eigenvalue and eigenfunction of the problem are given, and then the known result is generalized.