Semilinear evolution inclusions with nonlocal conditions

Existence Results for Stochastic Semilinear Differential Inclusions with Nonlocal Conditions

Existence of Mild Solutions of Semilinear Evolution Inclusions with Nonlocal Conditions

The existence of mild solutions of first order semilinear evolution inclusions on a compact real interval is investigated in Banach spaces with nonlocal conditions. A fixed point theorem for condensing maps due to Martelli is used. 2000 Mathematics Subject Classification: 34A60, 34G20, 35R10, 47H20

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...

Existence and Controllability Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

In this paper, we prove existence and controllability results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces, with nonlocal conditions. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families.

Existence Results for Semilinear Neutral Functional Differential Inclusions with Nonlocal Conditions

In this paper we prove existence results for first and second order semilinear neutral functional differential inclusions with finite or infinite delay in Banach spaces and nonlocal conditions, via a Nonlinear Alternative for condensing maps. Our theory makes use of analytic semigroups and fractional powers of closed operators, integrated semigroups and cosine families. Mathematics subject clas...