Approximate solutions of one abstract Cauchy problem

DOI10.1007/S10958-021-05224-6zbMath1458.35278OpenAlexW3128919781MaRDI QIDQ2227211

O. V. Martynyuk, V. V. Horodets'kyi

Publication date: 10 February 2021

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

Full work available at URL: https://doi.org/10.1007/s10958-021-05224-6

zbMATH Keywords

Gevrey classesdifferential-operator equation of hyperbolic type

Mathematics Subject Classification ID

Initial value problems for second-order hyperbolic equations (35L15) Abstract hyperbolic equations (35L90)

Cites Work

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• Polynomial solvability of differential equations with coefficients from classes of infinitely differentiable functions
• Solution of the Cauchy problem by means of weighted approximations of exponents by polynomials
• Polynomial approximation of solutions of operator-differential equations in a Hilbert space
• Laguerre polynomials and Laplace integrals

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