A viability result for second-order differential inclusions.
A viability result in the upper semicontinuous case.
A view on differential inclusions.
A Viterbo-Hofer-Zehnder type result for hamiltonian inclusions
Abstract differential inclusions with some applications to partial differential ones
Abstract inclusions in Banach spaces with boundary conditions of periodic type
We study in the space of continuous functions defined on [0,T] with values in a real Banach space E the periodic boundary value problem for abstract inclusions of the form ⎧ ⎨ ⎩ x (T) = x(0), where, is a multivalued map with convex compact values, ⊂ E, is the superposition operator generated by F, and S: × L¹([0,T];E) → C([0,T]; ) an abstract operator. As an application, some results are given to the periodic boundary value problem for nonlinear differential inclusions governed by m-accretive...
Addendum to the paper: “Some fixed point theorems for multivalued mappings”
Adjoint differential inclusions in necessary conditions for the minimal trajectories of differential inclusions
An application of a global bifurcation theorem to the existence of solutions for integral inclusions.
An existence theorem for differential inclusions on Banach space.
An existence theorem for fractional hybrid differential inclusions of Hadamard type
This paper studies the existence of solutions for fractional hybrid differential inclusions of Hadamard type by using a fixed point theorem due to Dhage. The main result is illustrated with the aid of an example.
An Invariance Problem for Control Systems with Deterministic Uncertainty
This paper deals with a class of nonlinear control systems in in presence of deterministic uncertainty. The uncertainty is modelled by a multivalued map F with nonempty, closed, convex values. Given a nonempty closed set from a suitable class, which includes the convex sets, we solve the problem of finding a state feedback ū(t,x) in such a way that K is invariant under any system dynamics f. As a system dynamics we consider any continuous selection of the uncertain controlled dynamics F.
An oriented coincidence index for nonlinear Fredholm inclusions with nonconvex-valued perturbations.
Applications of contractive-like mapping principles to fuzzy equations
We recall a recent extension of the classical Banach fixed point theorem to partially ordered sets and justify its applicability to the study of the existence and uniqueness of solution for fuzzy and fuzzy differential equations. To this purpose, we analyze the validity of some properties relative to sequences of fuzzy sets and fuzzy functions.
Approximate and relaxed solutions of differential inclusions
Approximate solutions for integrodifferential equations of the neutral type
The main objective of the present paper is to study the approximate solutions for integrodifferential equations of the neutral type with given initial condition. A variant of a certain fundamental integral inequality with explicit estimate is used to establish the results. The discrete analogues of the main results are also given.
Approximation of attainable sets of an evolution inclusion of subdifferential type.
Approximation of relaxed solutions for lower semicontinuous differential inclusions
We construct a guided continuous selection for lsc multifunctions with decomposable values in L¹[0,T]. We then apply it to obtain a new result on the uniform approximation of relaxed solutions for lsc differential inclusions.
Asymptotic and integral equivalence of multivalued differential systems
Asymptotic behavior of a weakly forced dry friction oscillator.