On the asymptotic integration of systems of linear differential equations with oscillatory decreasing coefficients

DOI10.1007/BF02316281zbMath0944.34027arXiv1511.00312OpenAlexW2963103189MaRDI QIDQ1966249

V. Sh. Burd, V. A. Karakulin

Publication date: 4 September 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00312

zbMATH Keywords

asymptotic integration of linear differential systemsinvertible change of variableslinear differential equation with oscillatory decreasing coefficients

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (7)

Asymptotic integration of functional differential systems with oscillatory decreasing coefficients ⋮ Construction of the asymptotics of the solutions of the one-dimensional Schrödinger equation with rapidly oscillating potential ⋮ Appearance of new parametric resonances in time-dependent harmonic oscillator ⋮ Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems ⋮ On eigenvalues of the one-dimensional Dirac operator with oscillatory decreasing potential ⋮ Parametric resonance in adiabatic oscillators ⋮ Asymptotic integration of certain Volterra integro-differential equations with oscillatory decreasing kernels

Cites Work

• On the asymptotic integration of linear differential systems
• Asymptotic integration of adiabatic oscillators
• A unified theory of asymptotic integration
• The asymptotic nature of solutions of linear systems of differential equations
• Asymptotic Integrations of the Adiabatic Oscillator
• The Adiabatic Linear Oscillator
• Asymptotic Integrations of Linear Differential Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the asymptotic integration of systems of linear differential equations with oscillatory decreasing coefficients