Semilinear differential inclusions via weak topologies

On controllability for nonconvex semilinear differential inclusions

We consider a semilinear differential inclusion and we obtain sufficient conditions for h-local controllability along a reference trajectory.

Semilinear nonlocal differential inclusions in Banach spaces

This paper is concerned with the existence of mild solutions to a class of semilinear differential inclusions with nonlocal conditions. By using the fixed point theory for multivalued maps, we get some general results on nonlocal differential inclusions, which include some recent results on nonlocal problems as special cases. An example of partial differential equations is provided to illustrat...

Semilinear Parabolic Differential Inclusions with One-sided Lipschitz Nonlinearities

We present an existence result for a partial differential inclusion with linear parabolic principal part and relaxed one-sided Lipschitz multivalued nonlinearity in the framework of Gelfand triples. Our study uses discretizations of the differential inclusion by a Galerkin scheme, which is compatible with a conforming finite element method, and we analyze convergence properties of the discrete ...

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

A Viability Result for Nonconvex Semilinear Functional Differential Inclusions

We establish some sufficient conditions in order that a given locally closed subset of a separable Banach space be a viable domain for a semilinear functional differential inclusion, using a tangency condition involving a semigroup generated by a linear operator.