Integral manifold of the parabolic differential equation with deviating argument
Invariance of a closed convex set under a semigroup associated with a nonlinear form. (Invariance d'un convexe fermé par un semi-groupe associé à une forme non-linéaire.)
Invariant Rectangles and Strongly Coupled Semilinear Parabolic.
Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems.
Lasry-Lions regularization and a lemma of Ilmanen
Linear stability theory of solitary waves arising from Hamiltonian systems with symmetry
Maps preserving numerical radius distance on C*-algebras
We characterize surjective nonlinear maps Φ between unital C*-algebras 𝒜 and ℬ that satisfy w(Φ(A)-Φ(B))) = w(A-B) for all A,B ∈ 𝒜 under a mild condition that Φ(I) - Φ(0) belongs to the center of ℬ, where w(A) is the numerical radius of A and I is the unit of 𝒜.
Maximal semigroups dominated by 0-1 matrices.
Maximality principle and general results of Ekeland and Caristi types without lower semicontinuity assumptions in cone uniform spaces with generalized pseudodistances.
Metric domains, holomorphic mappings and nonlinear semigroups.
Moudafi's viscosity approximations with demi-continuous and strong pseudo-contractions for non-expansive semigroups.
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.