Nonlinear equations in Hilbert space.
Nonlinear equations of Urysohn's type in a Banach space
Nonlinear equations with linear part at resonance: Variational approach
Nonlinear equations with noninvertible linear part
Nonlinear equations with operators satisfying generalized Lipschitz conditions in scales.
Nonlinear evolution equations.
Nonlinear evolution inclusions arising from phase change models
The paper is devoted to the analysis of an abstract evolution inclusion with a non-invertible operator, motivated by problems arising in nonlocal phase separation modeling. Existence, uniqueness, and long-time behaviour of the solution to the related Cauchy problem are discussed in detail.
Nonlinear Hammerstein equations and fixed points.
Nonlinear mappings in metric discrete limit spaces and their topological properties.
Nonlinear Neumann problems on bounded Lipschitz domains.
Nonlinear operator equations and boundary-value problems
Nonlinear periodic systems with the -Laplacian: existence and multiplicity results.
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