The mixed problem for an infinite system of first order functional differential equations.
The solution operator for a partial differential equation with delay
Viene dimostrata l’esistenza e l’unicità globale della soluzione di un’equazione funzionale in uno spazio di Hilbert e si caratterizza il generatore infinitesimale del semigruppo ad essa associato. Il risultato è applicato ad equazioni integrodifferenziali a derivate parziali di tipo parabolico in cui compaiono argomenti con ritardo (discreto e continuo) nelle derivate spaziali di ordine massimo.
Uniqueness of Monotone Mono-stable Waves for Reaction-Diffusion Equations with Time Delay
Many models in biology and ecology can be described by reaction-diffusion equations wit time delay. One of important solutions for these type of equations is the traveling wave solution that shows the phenomenon of wave propagation. The existence of traveling wave fronts has been proved for large class of equations, in particular, the monotone systems, such as the cooperative systems and some competition systems. However, the problem on the uniqueness of traveling wave (for a fixed wave speed)...
Variation of constants formula for functional parabolic partial differential equations.
Viscosity solutions of fully nonlinear functional parabolic PDE.
Дискретная система Захарова-Шабата и интегрируемые уравнения
Комбинаторная модель евклидова пространства и разностные операторы
Многомерная обратная задача для уравнений с памятью.
О спектре некоторых нелокальных эллиптических краевых задач
Смешанная задача для систем дифференциально-функциональных уравнений с частными производными и операторами типа Вольтерра
Эллиптические задачи с нелокальными условиями вблизи границы