Nonlinear partial differential equations with delay: Linear stability/instability of solutions, numerical integrationстатья
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Дата последнего поиска статьи во внешних источниках: 3 сентября 2019 г.
Аннотация:The paper deals with partial differential equations of parabolic and hyperbolic types that
contain a nonlinear kinetic function with delay. Conditions for the linear stability and instability of stationary solutions of reaction-diffusion equations and conditions for the instability of solutions of more complicated equations with delay are formulated. A nonstationary solution of the model initial-boundary value problem with delay and quadratic nonlinearity is investigated for stability/instability. A numerical solution of the test problem in the domain of stability is obtained by the method of lines.