FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
2000, VOLUME 6, NUMBER 3, PAGES 723-738
V. F. Butuzov
A. F. Karaschuk
Abstract
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A system of two singularly perturbed equations in partial derivatives of
the first order on a plane with a nonlinear right side is considered.
A small parameter enters the equations as a multiplier at partial
derivatives on different arguments. The theorem of existence of
the classical
solution of this system with additional conditions on axes of coordinates is
proved and asymptotic approximation of any order of the small parameter is
constructed.
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