Application of asymptotic methods to regularly and singularly perturbed differential-difference equations

DOI10.1007/s10958-014-1705-6zbMath1311.34159OpenAlexW2081705101MaRDI QIDQ461495

M. O. Perestyuk, I. I. Klevchuk

Publication date: 10 October 2014

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

Full work available at URL: https://doi.org/10.1007/s10958-014-1705-6

zbMATH Keywords

singularly perturbed systemsperiodic oscillationsintegral manifolddelay differential systems

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Singular perturbations of functional-differential equations (34K26) Invariant manifolds of functional-differential equations (34K19) Averaging for functional-differential equations (34K33)

Cites Work

• Theory of functional differential equations. 2nd ed
• Periodic oscillations in conservative systems with a small delay
• Averaging methods for differential equations with retarded arguments and a small parameter
• Bifurcation of an equilibrium state of a singularly perturbed system with lag
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