A Construction of Stable Subharmonic Orbits in Monotone Time-periodic Dynamical Systems.
A DSM proof of surjectivity of monotone nonlinear mappings
A simple proof is given of a basic surjectivity result for monotone operators. The proof is based on the dynamical systems method (DSM).
A generalisation of a theorem of Koldunov with an elementary proof
We generalize a Theorem of Koldunov [2] and prove that a disjointness proserving quasi-linear operator between Resz spaces has the Hammerstein property.
A note on well-posed null and fixed point problems.
A Remark on a Class of Linear Monotone Operators.
A remark on solving large systems of equations in function spaces
In order to save CPU-time in solving large systems of equations in function spaces we decompose the large system in subsystems and solve the subsystems by an appropriate method. We give a sufficient condition for the convergence of the corresponding procedure and apply the approach to differential algebraic systems.
A remark to a multipoint boundary value problem
Affine-invariant monotone iteration methods with application to systems of nonlinear two-point boundary value problems
In this paper we present a new theorem for monotone including iteration methods. The conditions for the operators considered are affine-invariant and no topological properties neither of the linear spaces nor of the operators are used. Furthermore, no inverse-isotony is demanded. As examples we treat some systems of nonlinear ordinary differential equations with two-point boundary conditions.
An intermediate value theorem in ordered Banach spaces
We prove an intermediate value theorem for certain quasimonotone increasing functions in ordered Banach spaces, under the assumption that each nonempty order bounded chain has a supremum.
Antitone operators and ordinary differential equations
Applications of the spectral radius to some integral equations
In the paper [13] we proved a fixed point theorem for an operator , which satisfies a generalized Lipschitz condition with respect to a linear bounded operator , that is: The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator .