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This article is cited in 1 scientific paper (total in 1 paper)
Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems
O. V. Solonukha Federal Research Center “Computer Science and Control” of the RAS, Moscow, Russia
Abstract:
In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions. The main feature of the equations under consideration is that the difference operator is located in the principal part of the nonlinear operator containing higher-order derivatives.
Keywords:
nonlinear differential-difference equations, nonlocal boundary conditions, shift in spatial variables, elliptic equation, parabolic equation, initial-boundary value problem, periodic solutions, pseudomonotone operator, operator with semi-bounded variation, ellipticity condition, strong ellipticity condition.
Citation:
O. V. Solonukha, “Nonlinear differential-difference equations of elliptic and parabolic type and their applications to nonlocal problems”, CMFD, 69, no. 3, PFUR, M., 2023, 445–563
Linking options:
https://www.mathnet.ru/eng/cmfd513 https://www.mathnet.ru/eng/cmfd/v69/i3/p445
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