Classical solutions of hyperbolic differential-difference equations with several nonlocal terms

DOI10.1134/S1995080221010285zbMath1459.35370OpenAlexW3135267170WikidataQ115247359 ScholiaQ115247359MaRDI QIDQ2656427

Yanyan Li

Publication date: 11 March 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221010285

zbMATH Keywords

classical solutionhyperbolic equationsmooth solutiondifferential-difference equation

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Discrete version of topics in analysis (39A12) Second-order hyperbolic equations (35L10)

Related Items (6)

Hyperbolic differential-difference equations with nonlocal potentials ⋮ Classical solutions of hyperbolic differential-difference equations in a half-space ⋮ A classical solution to a hyperbolic differential-difference equation with a translation by an arbitrary vector ⋮ 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 ⋮ Classical solutions of hyperbolic equations with nonlocal potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem
• Asymptotic properties of solutions of the Dirichlet problem in the half-plane for differential-difference elliptic equations
• Global classical solutions of some two-dimensional hyperbolic differential-difference equations
• On global classical solutions of hyperbolic differential-difference equations
• On smooth solutions of differential-difference equations with incommensurable shifts of arguments
• Elliptic problems with nonlocal potential arising in models of nonlinear optics
• Elliptic functional differential equations with contractions and extensions of independent variables of the unknown function
• Functional-differential equations in Sobolev spaces and related problems of spectral theory
• Nonclassical boundary-value problems. II
• Nonclassical boundary value problems. I. Transl. from the Russian
• 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
• Elliptic functional differential equations and applications

This page was built for publication: Classical solutions of hyperbolic differential-difference equations with several nonlocal terms