On the Cauchy problem for some nonhomogeneous parabolic differential-difference equations.

DOI10.1023/A:1026143810717zbMath1059.35156OpenAlexW41450299MaRDI QIDQ1889566

A. B. Muravnik

Publication date: 2 December 2004

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

Full work available at URL: https://doi.org/10.1023/a:1026143810717

zbMATH Keywords

uniquenessintegral representationsolvabilityBanach spaceparabolic equation with shifted space variables

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Partial functional-differential equations (35R10) Initial value problems for second-order parabolic equations (35K15)

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Functional differential parabolic equations: integral transformations and qualitative properties of solutions of the Cauchy problem ⋮ About mean value theorems for the singular parabolic equation ⋮ Stable structures of nonlinear parabolic equations with transformation of spatial variables ⋮ Boundary value problem for a mixed functionally differential advancing-lagging equation with fractional derivative ⋮ Nonlocal problems and functional-differential equations: theoretical aspects and applications to mathematical modelling

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