Embedding theorems in Banach-valued -spaces and maximal -regular differential-operator equations.
Equazioni alle derivate parziali con infinite variabili
Existence of solutions and monotone iterative method for infinite systems of parabolic differential-functional equations
We consider the Fourier first boundary value problem for an infinite system of weakly coupled nonlinear differential-functional equations. To prove the existence and uniqueness of solution, we apply a monotone iterative method using J. Szarski's results on differential-functional inequalities and a comparison theorem for infinite systems.
Existence of solutions of the Cauchy problem for semilinear infinite systems of parabolic differential-functional equations.