Classical solutions of hyperbolic equations with nonlocal potentials

DOI10.1134/S1064562421030157zbMath1477.35102OpenAlexW3198674482WikidataQ115525907 ScholiaQ115525907MaRDI QIDQ2243868

Yanyan Li

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s1064562421030157

zbMATH Keywords

one space dimensiondifferential-difference equationshift of the space variable

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Second-order hyperbolic equations (35L10) Classical solutions to PDEs (35A09)

Related Items (5)

A classical solution to a hyperbolic differential-difference equation with a translation by an arbitrary vector ⋮ Classical solutions of a multidimensional hyperbolic differential-difference equation with shifts of various directions in the potentials ⋮ Classical solutions of hyperbolic differential-difference equations with differently directed translations ⋮ 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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• Global classical solutions of some two-dimensional hyperbolic differential-difference equations
• On global classical solutions of hyperbolic differential-difference equations
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• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Classical solutions of hyperbolic differential-difference equations with several nonlocal terms
• Boundary-value problems for elliptic functional-differential equations and their applications
• On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms
• Half-plane differential-difference elliptic problems with general-kind nonlocal potentials
• Elliptic functional differential equations and applications

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