Nonlinear evolution equations.
Nonlinear Evolution Equations of Soboley-Galpern Type.
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 functional integral equations of convolution type.
Nonlinear generalizations of the Banach-Stone theorem
Nonlinear Hammerstein equations and fixed points.
Nonlinear impulsive Volterra integral equations in Banach spaces and applications.
Nonlinear integral operators on C(S,E)
Nonlinear Mappings of Analytic Type in Banach Spaces.
Nonlinear Maps between Besov and Sobolev spaces
Our main result shows that for a large class of nonlinear local mappings between Besov and Sobolev space, interpolation is an exceptional low dimensional phenomenon. This extends previous results by Kumlin [13] from the case of analytic mappings to Lipschitz and Hölder continuous maps (Corollaries 1 and 2), and which go back to ideas of the late B.E.J. Dahlberg [8].
Nonlinear mean ergodic theorems for semigroups in Hilbert spaces.
Nonlinear monotone semigroups and viscosity solutions
Nonlinear Neumann boundary value problem with -Laplacian.
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.
Nonlinear perturbations of quasi-linear delay control systems
Nonlinear Random Equations with Monotone Operators in Banach Spaces.