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.
Nonlinear random operator equations and inequalities in Banach spaces.
Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.
Nonlinear Spectral Theories and Solvability of Nonlinear Hammerstein Equations
AMS Subj. Classification: 47J10, 47H30, 47H10We study some possibilities of nonlinear spectral theories for solving nonlinear operator equations. The main aim is to research a spectrum and establish some kind of nonlinear Fredholm alternative for Hammerstein operator KF.
Nonlinear stability of a quadratic functional equation with complex involution
Let be complex vector spaces. Recently, Park and Th.M. Rassias showed that if a mapping satisfies for all , , then the mapping satisfies for all , . Furthermore, they proved the generalized Hyers-Ulam stability of the functional equation () in complex Banach spaces. In this paper, we will adopt the idea of Park and Th. M. Rassias to prove the stability of a quadratic functional equation with complex involution via fixed point method.
Nonlinear transformations on spaces of continuous functions
Nonlinear Variational Inequalities and Maximal Monotone Mappings in Banach Spaces.
Nonlinear Variational Inequalities Depending on a Parameter
This paper develops the results announced in the Note [14]. Using an eigenvalue problem governed by a variational inequality, we try to unify the theory concerning the post-critical equilibrium state of a thin elastic plate subjected to unilateral conditions.
Nonlinear Volterra integral equations in Henstock integrability setting.
Nonlocal Cauchy problem for quasilinear integrodifferential equations in Banach spaces.
Nonlocal conditions for lower semicontinuous parabolic inclusions.
Nonlocal elliptic problems
Some conditions for the existence and uniqueness of solutions of the nonlocal elliptic problem , are given.
Nonlocal impulsive Cauchy problems for evolution equations.