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

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REFERENCES

  1. Maslov, V.P. and Fedoryuk, M.V., Kvaziklassicheskoe priblizhenie dlya uravnenii kvantovoi mekhaniki(Semiclassical Approximation for Equations of Quantum Mechanics), Moscow, 1976.

  2. Langer, R.E., Trans. Amer. Math. Soc., 1934, no. 36, pp. 90–106.

  3. Olver, F., Asymptotics and Special Functions, New York: Academic, 1974. Translated under the title Asimptotika i spetsial'nye funktsii, Moscow: Nauka, 1990.

    Google Scholar 

  4. Il'in, A.M., Soglasovanie asimptoticheskikh razlozhenii reshenii kraevykh zadach(Matching of Asymptotic Expansions of Solutions of Boundary Value Problems), Moscow: Nauka, 1989.

    Google Scholar 

  5. Maslov, V.P., Kompleksnyi metod VKB v nelineinykh uravneniyakh(The Complex WKB Method for Nonlinear Equations), Moscow: Nauka, 1977.

    Google Scholar 

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Maslov, V.P., Shafarevich, A.I. On Asymptotic Solutions of Nonlinear Equations in the Presence of Turning Points. Differential Equations 40, 736–741 (2004). https://doi.org/10.1023/B:DIEQ.0000043532.67919.dc

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  • DOI: https://doi.org/10.1023/B:DIEQ.0000043532.67919.dc

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