Asymptotic solutions of boundary value problem for singularly perturbed system of differential-algebraic equations

Authors

  • P.F. Samusenko National Technical University of Ukraine ``Igor Sikorsky Kyiv Polytechnic Institute'', 37 Peremogy av., 03056, Kyiv, Ukraine
  • M.B. Vira Nizhyn Mykola Gogol State University, 2 Hrafska str., 16600, Nizhyn, Ukraine
https://doi.org/10.15330/cmp.14.1.49-60

Keywords:

boundary value problem, asymptotic solution, differential-algebraic system, singular perturbed system
Published online: 2022-04-25

Abstract

This paper deals with the boundary value problem for a singularly perturbed system of differential algebraic equations of the second order. The case of simple roots of the characteristic equation is studied. The sufficient conditions for existence and uniqueness of a solution of the boundary value problem for system of differential algebraic equations are found. Technique of constructing the asymptotic solutions is developed.

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How to Cite
(1)
Samusenko, P.; Vira, M. Asymptotic Solutions of Boundary Value Problem for Singularly Perturbed System of Differential-Algebraic Equations. Carpathian Math. Publ. 2022, 14, 49-60.