Asymptotics of Solution of a Boundary Value Problem for Quasilinear Non-Classical Type Differential Equation of Arbitrary Odd Order
Mahir M. Sabzaliev *
Azerbaijan State Oil and Industrial University, Az 1026, 20, Azadliq Ave, Baku, Azerbaijan.
Ilhama M. Sabzalieva
Azerbaijan State Oil and Industrial University, Az 1026, 20, Azadliq Ave, Baku, Azerbaijan.
*Author to whom correspondence should be addressed.
Abstract
In a rectangle domain, a boundary value problem is considered for a singularly perturbed quasilinear non-classical type equation of arbitrary odd order, degenerating into a hyperbolic equation. Asymptotic expansion of the generalized solution of the problem under consideration is constructed to within any positive degree of a small parameter, and the residual term is estimated.
Keywords: Asymptotics, boundary layer function, remainder term