A double eigenvalue problem for Schrödinger equations involving sublinear nonlinearities at infinity.
A double-sequence random iteration process for random fixed points of contractive type random operators.
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 dual of the compression-expansion fixed point theorems.
A family of Lyapunov-based control schemes for maximum power point tracking in buck converters
This paper presents a novel family of Lyapunov-based controllers for the maximum power point tracking problem in the buck converter case. The solar power generation system here considered is composed by a stand-alone photovoltaic panel connected to a DC/DC buck converter. Lyapunov function candidates depending on the output are considered to develop conditions which, in some cases, can be expressed as linear matrix inequalities; these conditions guarantee that the output goes asymptotically to zero,...
A fast numerical test of multivariate polynomial positiveness with applications
The paper presents a simple method to check a positiveness of symmetric multivariate polynomials on the unit multi-circle. The method is based on the sampling polynomials using the fast Fourier transform. The algorithm is described and its possible applications are proposed. One of the aims of the paper is to show that presented algorithm is significantly faster than commonly used method based on the semi-definite programming expression.
A final value problem for heat equation: regularization by truncation method and new error estimates.
A finite dimensional reduction of the Schauder Conjecture
Schauder’s Conjecture (i.eėvery compact convex set in a Hausdorff topological vector space has the f.p.p.) is reduced to the search for fixed points of suitable multivalued maps in finite dimensional spaces.
A finite multiplicity Helson-Lowdenslager-de Branges theorem
We prove two theorems. The first theorem reduces to a scalar situation the well known vector-valued generalization of the Helson-Lowdenslager theorem that characterizes the invariant subspaces of the operator of multiplication by the coordinate function z on the vector-valued Lebesgue space L²(;ℂⁿ). Our approach allows us to prove an equivalent version of the vector-valued Helson-Lowdenslager theorem in a completely scalar setting, thereby eliminating the use of range functions and partial isometries....
A fixed point approach to the stability of differential equations .
A fixed point theorem
A fixed Point Theorem and its Applications to Nonlinear Integral Equations in Banach Algebras
A fixed point theorem for a class of differentiable stable operators in Banach spaces.
A Fixed Point Theorem for a Class of Mappings.
A Fixed Point Theorem For A Class Of Mappings In Probabilistic Locally Convex Spaces
A fixed point theorem for a class of mappings in probabilistic locally convex spaces.
A fixed point theorem for a multivalued non-self mapping
We prove a fixed point theorem for a multivalued non-self mapping in a metrically convex complete metric space. This result generalizes Theorem 1 of Itoh [2].
A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type.
A fixed point theorem for affine mappings and its application to elasticity theory
In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.
A fixed point theorem for asymptotically regular mappings