On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points

Differential Equations - Tập 40 - Trang 736-741 - 2004
V. P. Maslov1, A. I. Shafarevich1
1Moscow State University, Moscow, Russia

Tài liệu tham khảo

Maslov, V.P. and Fedoryuk, M.V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki(Semiclassical Approximation for Equations of Quantum Mechanics), Moscow, 1976. Langer, R.E., Trans. Amer. Math. Soc., 1934, no. 36, pp. 90–106. Olver, F., Asymptotics and Special Functions, New York: Academic, 1974. Translated under the title Asimptotika i spetsial'nye funktsii, Moscow: Nauka, 1990. Il'in, A.M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach(Matching of Asymptotic Expansions of Solutions of Boundary Value Problems), Moscow: Nauka, 1989. Maslov, V.P., Kompleksnyi metod VKB v nelineinykh uravneniyakh(The Complex WKB Method for Nonlinear Equations), Moscow: Nauka, 1977.