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Research Article Open access CC BY 4.0

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/2017/33704

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.

Asymptotics boundary layer function remainder term

References (6)

  1. 1 Introduction to the General Theory of Singular Perturbations [DOI]
  2. 2 Singularly perturbed nonlinear Dirichlet problems with a general nonlinearity [DOI]
  3. 3 On boundary value problems for a class of singularly perturbed equations of arbitrary odd order [DOI]
  4. 4 Asymptotics of the solution of a boundary value problem for one-characteristic differential equation degenerating into a parabolic equation in an infinite strip [DOI]
  5. 5 On a boundary value problem for a quasi-linear elliptic equation degenerating into a parabolic equation in an infinite strip [DOI]
  6. 6 Regular degeneration and boundary layer for linear differential equations with small parameter [DOI]

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