Solution of singularly perturbed Cauchy problem for ordinary differential equation of second order with constant coefficients by Fourier method

DOI10.1063/1.5000633zbMath1492.34065OpenAlexW2755997342MaRDI QIDQ5062206

Manat T. Shomanbayeva, Amir Sh. Shaldanbayev

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000633

zbMATH Keywords

singularly perturbed Cauchy problemFourier series in the Krein space

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Singular perturbations for ordinary differential equations (34E15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• About the nature of the spectrum of the periodic problem for the heat equation with a deviating argument
• On an analog of periodic boundary value problems for the Poisson equation in the disk
• Representation of the Green's function of the exterior Neumann problem for the Laplace operator
• On a Frankl-type problem for a mixed parabolic-hyperbolic equation
• A regular differential operator with perturbed boundary condition
• On a criterion for the solvability of one ill-posed problem for the biharmonic equation
• Criterion for the strong solvability of the mixed Cauchy problem for the Laplace equation
• On a criterion of solvability of the inverse problem of heat conduction
• Asymptotic properties of the solution of a finite-difference equation with small steps in a rectangular region
• Constructing a basis from systems of eigenfunctions of one not strengthened regular boundary value problem
• THE DEVELOPMENT AND APPLICATIONS OF THE ASYMPTOTIC METHOD OF LYUSTERNIK AND VISHIK

This page was built for publication: Solution of singularly perturbed Cauchy problem for ordinary differential equation of second order with constant coefficients by Fourier method