Asymptotical formulas for solutions of linear differential systems of the first order

DOI10.1007/BF03322121zbMath0945.34041MaRDI QIDQ1818233

Victor S. Rykhlov

Publication date: 4 January 2000

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

asymptotic representationspectral parameterfundamental matrix of solutions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (15)

The inverse problem for pencils of differential operators on the half-line with turning points ⋮ Inverse spectral problems for differential systems on a finite interval ⋮ Asymptotics in the spectral parameter for solutions of \(2 \times 2\) systems of ordinary differential equations ⋮ Linear differential operators with distribution coefficients of various singularity orders ⋮ Asymptotics of the eigenvalues of self-adjoint fourth order boundary value problems ⋮ Spectral data asymptotics for the higher-order differential operators with distribution coefficients ⋮ On Weyl-type solutions of differential systems with a singularity. The case of discontinuous potential ⋮ A uniqueness result for differential pencils with discontinuities from interior spectral data ⋮ Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients ⋮ Asymptotic behavior of solutions of the Dirac system with an integrable potential ⋮ Inverse spectral problems for differential pencils on the half-line with turning points ⋮ Regular spectral problems of hyperbolic type for a system of first-order ordinary differential equations ⋮ The Calderon-Zygmund operator and its relation to asymptotic estimates of ordinary differential operators ⋮ Uniform estimates of remainders in spectral analysis of linear differential systems ⋮ On recovering differential systems on a finite interval from spectra

Cites Work

• Properties of the solutions of linear functional-differential equations depending on a parameter
• Asymptotics of the system so solutions to a general differential equation with parameter
• The Boundary Problem of an Ordinary Linear Differential System in the Complex Domain
• Asymptotics with respect to a parameter of solutions of linear functional-differential equations
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