On the asymptotics of the solution of the Cauchy problem for some differential-difference parabolic equations

DOI10.1007/s10625-005-0190-6zbMath1088.35075OpenAlexW2331939789MaRDI QIDQ2577314

A. B. Muravnik

Publication date: 19 December 2005

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

Full work available at URL: https://doi.org/10.1007/s10625-005-0190-6

zbMATH Keywords

parabolic differential-difference equationsCauchy problem, asymptotics

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial functional-differential equations (35R10) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

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 ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling ⋮ Asymptotic properties of solutions of two-dimensional differential-difference elliptic problems

Cites Work

• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• Spectral properties of finite-dimensional perturbed linear semigroups
• Diffractive patterns in a nonlinear optical two-dimensional feedback system with field rotation
• Bifurcation of periodic solutions for nonlinear parabolic functional differential equations arising in optoelectronics
• Elliptic functional differential equations and applications

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