Nonautonomous functional equations and nonlinear evolution operators
Non-compact perturbations of -accretive operators in general Banach spaces
In this paper we deal with the Cauchy problem for differential inclusions governed by -accretive operators in general Banach spaces. We are interested in finding the sufficient conditions for the existence of integral solutions of the problem , , where is an -accretive operator, and is a continuous, but non-compact perturbation, satisfying some additional conditions.
Non-convex perturbations of evolution equations with -dissipative operators in Banach spaces
Nonlinear ergodic theorems for a semitopological semigroup of non-Lipschitzian mappings without convexity.
Nonlinear ergodic theorems for asymptotically almost nonexpansive curves in a Hilbert space.
Nonlinear evolution equations.
Nonlinear feedback stabilization of a rotating body-beam without damping
Nonlinear feedback stabilization of a rotating body-beam without damping
This paper deals with nonlinear feedback stabilization problem of a flexible beam clamped at a rigid body and free at the other end. We assume that there is no damping and the feedback law proposed here consists of a nonlinear control torque applied to the rigid body and either a boundary control moment or a nonlinear boundary control force or both of them applied to the free end of the beam. This nonlinear feedback, which insures the exponential decay of the beam vibrations, extends the linear...
Nonlinear mean ergodic theorems for semigroups in Hilbert spaces.
Nonlinear monotone semigroups and viscosity solutions
Nonlinear nonautonomous partial functional differential BVP.
Nonlinear observers in reflexive Banach spaces
On an arbitrary reflexive Banach space, we build asymptotic observers for an abstract class of nonlinear control systems with possible compact outputs. An important part of this paper is devoted to various examples, where we discuss the existence of persistent inputs which make the system observable. These results make a wide generalization to a nonlinear framework of previous works on the observation problem in infinite dimension (see [11, 18, 22, 26, 27, 38, 40] and other references therein).
Nonlinear observers in reflexive Banach spaces
On an arbitrary reflexive Banach space, we build asymptotic observers for an abstract class of nonlinear control systems with possible compact outputs. An important part of this paper is devoted to various examples, where we discuss the existence of persistent inputs which make the system observable. These results make a wide generalization to a nonlinear framework of previous works on the observation problem in infinite dimension (see [11,18,22,26,27,38,40] and other references therein).
Nonlinear perturbations of analytical semigroups.
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces.
Note on nonlinear semigroups and free boundary problem for controlled Markov processes