Asymptotics of Solution of a Boundary Value Problem for Quasilinear Non-Classical Type Differential Equation of Arbitrary Odd Order
Mahir M. Sabzaliev, Ilhama M. Sabzalieva
Journal of Advances in Mathematics and Computer Science · pp. 1–19 · Published 2 Jun 2017
10.9734/BJMCS/2017/33704Abstract
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.
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