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- Title
On the Solvability of Nonlinear Parabolic Functional-Differential Equations with Shifts in the Spatial Variables.
- Authors
Solonukha, O. V.
- Abstract
The first mixed boundary value problem for a nonlinear functional-differential equation of parabolic type with shifts in the spatial variables is considered. Sufficient conditions are proved under which a nonlinear differential-difference operator is demicontinuous, coercive, and pseudomonotone on the domain of the operator . Based on these properties, existence theorems for a generalized solution are proved.
- Subjects
DIFFERENTIAL-difference equations; NONLINEAR boundary value problems; PARABOLIC differential equations; EXISTENCE theorems; NONLINEAR equations; NONLINEAR operators; EQUATIONS
- Publication
Mathematical Notes, 2023, Vol 113, Issue 5/6, p708
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434623050115