A problem with integral conditions in the time variable for a Sobolev-type system of equations with constant coefficients

DOI10.1007/s11253-017-1385-8zbMath1498.35177OpenAlexW2763129495MaRDI QIDQ1729621

A. M. Kuz', B. I. Ptashnyk

Publication date: 27 February 2019

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

Full work available at URL: https://doi.org/10.1007/s11253-017-1385-8

zbMATH Keywords

class of functions almost periodic in space variablesintegral conditions in time variablesystem of equations with constant coefficients

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Initial-boundary value problems for systems of nonlinear higher-order PDEs (35G61)

Related Items (2)

Modification of the Euler polygonal method for solving a semi-periodic boundary value problem for pseudo-parabolic equation of special type ⋮ On the theory of nonlocal problems with integral conditions for systems of equations of hyperbolic type

Cites Work

• Nonlocal problems for the equations of the Kelvin-Voigt fluids and their \(\varepsilon\)-approximations
• Linear Sobolev type equations and degenerate semigroups of operators
• Problem for hyperbolic system of equations having constant coefficients with integral conditions with respect to the time variable
• Essentially unstable solutions of difference equations
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