Asymptotically constant linear systems

DOI10.1090/S0002-9939-09-10146-6zbMath1196.34072OpenAlexW2018704211MaRDI QIDQ3552127

Horst Behncke

Publication date: 13 April 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10146-6

zbMATH Keywords

perturbed systemdichotomy conditionLevinson systemasymptote integration

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (9)

The remainder term in asymptotic summation of linear difference systems ⋮ Spectral theory of higher order differential operators by examples ⋮ \(\mathcal C\)-symmetric Hamiltonian systems with almost constant coefficients ⋮ Spectral theory of Hamiltonian difference systems with almost constant coefficients ⋮ Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients ⋮ ᵉe-symmetric second order differential operators ⋮ Spectral analysis of higher order differential operators with unbounded coefficients II ⋮ Spectral theory of higher order difference operators ⋮ Absolutely continuous spectrum of fourth order difference equations

Cites Work

• Unnamed Item
• A dynamical systems result on asymptotic integration of linear differential systems.
• The asymptotic nature of solutions of linear systems of differential equations
• SPECTRAL THEORY OF HIGHER ORDER DIFFERENTIAL OPERATORS
• The remainder in asymptotic integration
• Eigenfunctions, deficiency indices and spectra of odd-order differential operators
• Asymptotic Representation of Solutions of Perturbed Systems of Linear Difference Equations
• On roughness of exponential dichotomy

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