This article is cited in 10 papers

A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point

K. Alymkulov, A. A. Khalmatov


Abstract: We prove that it is possible to apply a method similar to the Vishik–Lyusternik–Vasileva–Imanaliev boundary function method for constructing the asymptotics of the solution of the model Lighthill equation with a regular singular point.

Keywords: model Lighthill equation, boundary function method, Cauchy problem, contraction operator, Lagrange inequality, Fréchet derivative.

UDC: 517.928

Received: 13.04.2011

DOI: 10.4213/mzm10147

 English version: Mathematical Notes, 2012, 92:6, 751–755

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