Classical solutions of a multidimensional hyperbolic differential-difference equation with shifts of various directions in the potentials

DOI10.1134/S0001434622110219zbMath1505.35011OpenAlexW4313365376MaRDI QIDQ2680734

Yanyan Li

Publication date: 4 January 2023

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

Full work available at URL: https://doi.org/10.1134/s0001434622110219

zbMATH Keywords

Fourier transformclassical solutionhyperbolic equationdifferential-difference equationoperational scheme

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Second-order hyperbolic equations (35L10) Functional-differential and differential-difference operators (47E07)

Related Items (2)

Smooth solutions of hyperbolic equations with translation by an arbitrary vector in the free term ⋮ On one Cauchy problem for a hyperbolic differential-difference equation

Cites Work

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• Classical solutions of hyperbolic differential-difference equations in a half-space
• Boundary-value problems for elliptic functional-differential equations and their applications
• Hyperbolic differential-difference equations with nonlocal potentials
• Elliptic differential-difference equations with differently directed translations in half-spaces
• Elliptic functional differential equations and applications

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