Nonlinear Neumann problems on bounded Lipschitz domains.
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 operator equations and boundary-value problems
Nonlinear operators of integral type in some function spaces.
We give results about embeddings, approximation and convergence theorems for a class of general nonlinear operators of integral type in abstract modular function spaces. Thus we extend some previous result on the matter.
Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
Nonlinear perturbations of analytical semigroups.
Nonlinear perturbations of linear elliptic and parabolic problems at resonance : existence of multiple solutions
Nonlinear perturbations of linear operators having nullspace with strong unique continuation property (Preliminary communication)
Nonlinear perturbations of postive semigroups.
Nonlinear perturbations of quasi-linear delay control systems
Nonlinear potential equations with linear parts at resonance
Nonlinear Random Equations with Monotone Operators in Banach Spaces.
Nonlinear random operator equations and inequalities in Banach spaces.
Nonlinear Rescaling Method and Self-concordant Functions
Nonlinear rescaling is a tool for solving large-scale nonlinear programming problems. The primal-dual nonlinear rescaling method was used to solve two quadratic programming problems with quadratic constraints. Based on the performance of primal-dual nonlinear rescaling method on testing problems, the conclusions about setting up the parameters are made. Next, the connection between nonlinear rescaling methods and self-concordant functions is discussed and modified logarithmic barrier function is...
Nonlinear scalar two-point boundary-value problems on time scales.
Nonlinear Schrödinger equation on real hyperbolic spaces
Nonlinear separable equations in linear spaces and commutative Leibniz algebras
We consider nonlinear equations in linear spaces and algebras which can be solved by a "separation of variables" obtained due to Algebraic Analysis. It is shown that the structures of linear spaces and commutative algebras (even if they are Leibniz algebras) are not rich enough for our purposes. Therefore, in order to generalize the method used for separable ordinary differential equations, we have to assume that in algebras under consideration there exist logarithmic mappings. Section 1 contains...
Nonlinear singular integral equations involving the Hilbert transform in Clifford analysis.