Well-posedness of a problem with initial conditions for hyperbolic differential-difference equations with shifts in the time argument

DOI10.1134/S0012266116030095zbMath1347.35141MaRDI QIDQ309824

A. Akbari Fallahi, V. Zh. Sakbaev, A. Yaakbarieh

Publication date: 7 September 2016

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

zbMATH Keywords

Sobolev spaces with an exponential weight

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Initial value problems for second-order hyperbolic equations (35L15) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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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• The correct solvability of some differential-difference equations in the scale of Sobolev spaces
• Mixed Functional Differential Equations
• Well-defined solvability of some differential-difference equations in Sobolev spaces

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