Results 11 to 20 of about 577,125 (180)

Abel’s Functional Equation and Eigenvalues of Composition Operators on Spaces of Real Analytic Functions [PDF]

open access: yesIntegral Equations and Operator Theory, 2014
We obtain full description of eigenvalues and eigenvectors of composition operators Cϕ : A (R) → A (R) for a real analytic self map ϕ : R → R as well as an isomorphic description of corresponding eigenspaces. We completely characterize those ϕ for which Abel’s equation f ◦ ϕ = f + 1 has a real analytic solution on the real line.
Bonet, José, Domański, Paweł
openaire   +4 more sources

The real-analytic solutions of the Abel functional equation [PDF]

open access: yesStudia Mathematica, 1999
The authors continue to investigate the Abel equation \[ \phi(Fx)-\phi(x)=1, \qquad x \in X \] where \(\phi:X \to \mathbb R\) is the unknown function, \(X\) is a topological space and \(F:X \to X\) is a continuous mapping. In a previous paper [Stud. Math. 127, No.
Belitskii, G., Lyubich, Yu.
openaire   +2 more sources

Roots of Two Transcendental Equations as Functions of a Continuous Real Parameter [PDF]

open access: yesMathematics of Computation, 1978
The roots, λ \lambda and η \eta , of the transcendental equations j l ( α λ ) y l ( λ ) = j l (
Pexton, Robert L., Steiger, Arno D.
openaire   +1 more source

Abelian Surfaces over totally real fields are Potentially Modular [PDF]

open access: yes, 2018
We show that abelian surfaces (and consequently curves of genus 2) over totally real fields are potentially modular. As a consequence, we obtain the expected meromorphic continuation and functional equations of their Hasse--Weil zeta functions.
Boxer, George   +3 more
core   +2 more sources

Generating Functions for q-Apostol Type Frobenius–Euler Numbers and Polynomials

open access: yesAxioms, 2012
The aim of this paper is to construct generating functions, related to nonnegative real parameters, for q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius–Euler polynomials and numbers).
Yilmaz Simsek
doaj   +1 more source

The Technique of Measures of Noncompactness in Banach Algebras and Its Applications to Integral Equations

open access: yesAbstract and Applied Analysis, 2013
We study the solvability of some nonlinear functional integral equations in the Banach algebra of real functions defined, continuous, and bounded on the real half axis.
Józef Banaś, Szymon Dudek
doaj   +1 more source

MAIN CONTRACTOR – SUBCONTRACTOR RELATIONS IN THE FRAMEWORK OF CONTRACT THEORY [PDF]

open access: yesBaltic Journal of Economic Studies, 2018
The purpose of this paper is to study optimal relationships between customer, main contractor, and subcontractor. We make the following assumptions: main contractor and subcontractor have types that specify expenses and outcomes for all actions that can ...
Iryna Nykyforchyn, Nataliia Suduk
doaj   +1 more source

An Iterative Method for Curve Adjustment Based on Optimization of a Variable and its Application

open access: yesRevista Colombiana de Estadística, 2014
An iterative method for the adjustment of curves is obtained by applying the least squares method reiteratively in functional subclasses, each defined by one parameter, after assigning values to the rest of the parameters which determine a previously ...
ROGELIO ACOSTA   +4 more
doaj   +1 more source

Solving simple quaternionic differential equations [PDF]

open access: yes, 2003
The renewed interest in investigating quaternionic quantum mechanics, in particular tunneling effects, and the recent results on quaternionic differential operators motivate the study of resolution methods for quaternionic differential equations. In this
Aslaksen H.   +10 more
core   +3 more sources

Existence of solutions for some classes of integro-differential equations via measure of noncompactness

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
In this present paper, we introduce a new measure of noncompactness on the space consisting of all real functions which are $n$ times bounded and continuously differentiable on $\mathbb{R}_+$.
Reza Allahyari   +2 more
doaj   +1 more source

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