Global classical solutions of some two-dimensional hyperbolic differential-difference equations

DOI10.1134/S0012266120060063zbMath1443.35093OpenAlexW3039637682MaRDI QIDQ776868

N. V. Zaitseva

Publication date: 13 July 2020

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266120060063

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Classical solutions to PDEs (35A09)

Related Items (8)

Hyperbolic differential-difference equations with nonlocal potentials ⋮ Classical solutions of hyperbolic differential-difference equations with several nonlocal terms ⋮ 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 ⋮ On one Cauchy problem for a hyperbolic differential-difference equation ⋮ Classical solutions of hyperbolic equations with nonlocal potentials

Cites Work

• 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
• Elliptic problems with nonlocal potential arising in models of nonlinear optics
• 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
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