Some remarks on boundary value problem for differential inclusions
Some sufficient conditions for the existence of solutions to boundary value problem for differential inclusions are given.
Some results on existence and structure of solution sets to differential inclusions on the halfline
A topological structure of solution sets to multivalued differential problems on the halfline is studied by the use of Scorza-Dragoni type results and by the inverse systems approach. Some new existence results for asymptotic boundary value problems are also presented.
Some theorems of Scorza-Dragoni type for multifunctions with application to the problem of existence of solutions for differential multivalued equations
Stochastic differential inclusions
The definition and some existence theorems for stochastic differential inclusions depending only on selections theorems are given.
Stochastic differential inclusions
The definition and some existence theorems for stochastic differential inclusion dZₜ ∈ F(Zₜ)dXₜ, where F and X are set valued stochastic processes, are given.
Structure of solutions sets and a continuous version of Filippov's theorem for first order impulsive differential inclusions with periodic conditions.
Sur la frontière d'un convexe mobile
Siano , sottoinsiemi convessi, chiusi e limitati di uno spazio normato , con le frontiere , . Dimostriamo che , dove è la metrica di Hausdorff tra sottoinsiemi chiusi di . Studiamo inoltre la continuità e la semicontinuità superiore ed inferiore di una multifunzione di tipo «frontiera».
Systems for phase transitions with hysteresis effect
Systems of differential inclusions in the absence of maximum principles and growth conditions
This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction with appropriate topological methods, to prove some new existence theorems for solutions to systems of...