A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point
Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 819-824
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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.
@article{MZM_2012_92_6_a1,
author = {K. Alymkulov and A. A. Khalmatov},
title = {A {Boundary} {Function} {Method} for {Solving} the {Model} {Lighthill} {Equation} with a {Regular} {Singular} {Point}},
journal = {Matemati\v{c}eskie zametki},
pages = {819--824},
publisher = {mathdoc},
volume = {92},
number = {6},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a1/}
}
TY - JOUR AU - K. Alymkulov AU - A. A. Khalmatov TI - A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point JO - Matematičeskie zametki PY - 2012 SP - 819 EP - 824 VL - 92 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a1/ LA - ru ID - MZM_2012_92_6_a1 ER -
%0 Journal Article %A K. Alymkulov %A A. A. Khalmatov %T A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point %J Matematičeskie zametki %D 2012 %P 819-824 %V 92 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a1/ %G ru %F MZM_2012_92_6_a1
K. Alymkulov; A. A. Khalmatov. A Boundary Function Method for Solving the Model Lighthill Equation with a Regular Singular Point. Matematičeskie zametki, Tome 92 (2012) no. 6, pp. 819-824. http://geodesic.mathdoc.fr/item/MZM_2012_92_6_a1/