Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil

DOI10.1007/s10958-015-2666-0zbMath1343.34139OpenAlexW2287937304MaRDI QIDQ261696

V. P. Yakovets', S. P. Pafyk

Publication date: 24 March 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2666-0

zbMATH Keywords

singular perturbationsasymptotic expansionsmultiple spectrummatrix pencilhigh order differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (3)

Asymptotics of the general solution of a linear homogeneous singularly perturbed system of differential equations for problems of the stability dynamics of circular cylindrical shells ⋮ Asymptotics of the general solution of a linear singularly perturbed system of higher-order differential equations with degenerations ⋮ Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil

Cites Work

• Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil
• On the structure of the general solution and conditions of solvability of the Cauchy problem for degenerate linear systems of higher-order differential equations
• Asymptotic properties of formal fundamental matrices of systems of second-order linear differential equations that contain a parameter
• Identification algorithms for linear systems with correlated input and output noise
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Asymptotics of the general solution of linear singularly perturbed systems of higher-order differential equations with degeneration in the case of multiple spectrum of the limiting matrix pencil