Impulsive semilinear neutral functional differential inclusions with multivalued jumps

Some Uniqueness Results for Impulsive Semilinear Neutral Functional Differential Equations

The Banach contraction principle is used to investigate the existence and uniqueness of solutions for first and second order impulsive semilinear neutral functional differential equations in Banach spaces. 2000 Mathematics Subject Classification: 34A37, 34G20, 34K25.

Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces

and Applied Analysis 3 (A 1 ) The linear operatorW: L(J, U) → X defined by

Existence Results for Impulsive Partial Neutral Functional Differential Inclusions

In this paper we prove existence results for first order semilinear impulsive neutral functional differential inclusions under the mixed Lipschitz and Carathéodory conditions.

Impulsive neutral functional differential inclusions in Banach spaces

In this paper, we first present an impulsive version of Filippov’s Theorem for first-order neutral functional differential inclusions of the form, d dt [y(t)− g(t, yt)] ∈ F (t, yt), a.e. t ∈ J\{t1, . . . , tm}, y(t+k )− y(tk ) = Ik(y(tk )), k = 1, . . . , m, y(t) = φ(t), t ∈ [−r, 0], where J = [0, b], F is a set-valued map and g is a single-valued function. The functions Ik characterize the jum...

Multivalued Semilinear Neutral Functional Differential Equations with Nonconvex-valued Right-hand Side