Nonlinear perturbations of linear operators having nullspace with strong unique continuation property (Preliminary communication)
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 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 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 symmetric positive systems
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 variational inequalities on reflexive Banach spaces and topological vector spaces.
Nonlocal impulsive Cauchy problems for evolution equations.
Non-monotoneous parallel iteration for solving convex feasibility problems
The method of projections onto convex sets to find a point in the intersection of a finite number of closed convex sets in an Euclidean space, sometimes leads to slow convergence of the constructed sequence. Such slow convergence depends both on the choice of the starting point and on the monotoneous behaviour of the usual algorithms. As there is normally no indication of how to choose the starting point in order to avoid slow convergence, we present in this paper a non-monotoneous parallel algorithm...
Nonresonance conditions at the two first eigenvalues for semilinear equations
Nontrivial periodic solutions of asymptotically linear Hamiltonian systems.
Nontrivial solution for a nonlocal elliptic transmission problem in variable exponent Sobolev spaces.
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations
Non-trivial solutions for a two-point boundary value problem
We prove the existence of at least one non-trivial solution for Dirichlet quasilinear elliptic problems. The approach is based on variational methods.
Normal solvability, solvability and fixed-point theorems
Note on nonlinear spectral theory: Application to boundary value problems for ordinary integrodifferential equations
Note on some results for asymptotically pseudocontractive mappings and asymptotically nonexpansive mappings.