Some combinatorial results about the operators with jumping nonlinearities
Some existence theorems for nonlinear equations of Hammerstein type (Preliminary communication)
Some fixed point theorems for multivalued mappings
Some generic properties of nonlinear second order diffusional type problem
We are interested of the Newton type mixed problem for the general second order semilinear evolution equation. Applying Nikolskij’s decomposition theorem and general Fredholm operator theory results, the present paper yields sufficient conditions for generic properties, surjectivity and bifurcation sets of the given problem.
Some mapping theorems and solvability of nonlinear equations in Banach spaces (Preliminary communication)
Some remarks on an operational time dependent equation
Some Remarks on the Böhme-Berger Bifurcation Theorem.
Some remarks to coincidence theory
Some sufficient conditions for finding a second solution of the quadratic equation in a Banach space
Some surjectivity theorems with applications
In this paper a new class of mappings, known as locally -strongly -accretive mappings, where and have special meanings, is introduced. This class of mappings constitutes a generalization of the well-known monotone mappings, accretive mappings and strongly -accretive mappings. Subsequently, the above notion is used to extend the results of Park and Park, Browder and Ray to locally -strongly -accretive mappings by using Caristi-Kirk fixed point theorem. In the sequel, we introduce the notion...
Stability of convergent continuous descent methods.
Stability of solutions for an abstract Dirichlet problem
We consider continuous dependence of solutions on the right hand side for a semilinear operator equation Lx = ∇G(x), where L: D(L) ⊂ Y → Y (Y a Hilbert space) is self-adjoint and positive definite and G:Y → Y is a convex functional with superquadratic growth. As applications we derive some stability results and dependence on a functional parameter for a fourth order Dirichlet problem. Applications to P.D.E. are also given.
Stability of -additive mappings: Applications to nonlinear analysis.
Stabilization of solutions to a differential-delay equation in a Banach space
A parameter dependent nonlinear differential-delay equation in a Banach space is investigated. It is shown that if at the critical value of the parameter the problem satisfies a condition of linearized stability then the problem exhibits a stability which is uniform with respect to the whole range of the parameter values. The general theorem is applied to a diffusion system with applications in biology.
Stable approximations of set-valued maps
Strengthening upper bound for the number of critical levels of nonlinear functionals
Su un teorema di R. H. Martin Jr.
Superposition operator on the space of sequences almost converging to zero
We study the superposition operator f on on the space ac 0 of sequences almost converging to zero. Conditions are derived for which f has a representation of the form f x = a+bx +g x, for all x ∈ ac 0 with a = f 0, b ∈ D(ac 0), g a superposition operator from ℓ∞ into I(ac 0), D(ac 0) = {z: zx ∈ ac 0 for all x ∈ ac 0}, and I(ac 0) the maximal ideal in ac 0. If f is generated by a function f of a real variable, then f is linear. We consider the conditions for which a bounded function f generates f...
Sur les domaines des valeurs des opérateurs non-linéaires