Results 21 to 30 of about 1,291,812 (281)

General functional-integral Volterra equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2007
We research the one-valued solvability of the integral Volterra equation of general type with given initial condition. The theorem on the existence and uniqueness of continuous solution, which satisfies the Lipschitz condition on the considered interval ...
T. K. Yuldashev, Zh. A. Artykova
doaj   +1 more source

John's ellipsoid and the integral ratio of a log-concave function [PDF]

open access: yes, 2017
We extend the notion of John’s ellipsoid to the setting of integrable log-concave functions. This will allow us to define the integral ratio of a log-concave function, which will extend the notion of volume ratio, and we will find the log-concave ...
Alonso Gutiérrez, David   +3 more
core   +2 more sources

Integral Representations of a Generalized Linear Hermite Functional

open access: yesMathematics, 2023
In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
doaj   +1 more source

A functional integral inclusion involving Carathéodories

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2003
In this paper the existence of extremal solutions of a functional integral inclusion involving Carathéodory is proved under certain monotonicity conditions.
Bapurao Dhage
doaj   +1 more source

Some properties of the functional equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
A discussion is given of some of the properties of the functional Volterra Integral equation ϕ(x)=f(x)+∫0λxg(x,y,ϕ(y))dy. and of the corresponding multidimensional equation.
Li. G. Chambers
doaj   +1 more source

Theory of Lattice and Electronic Fluctuations in Weakly Localized Spin-Peierls Systems [PDF]

open access: yes, 1996
A theoretical approach to the influence of one-dimensional lattice fluctuations on electronic properties in weakly localized spin-Peierls systems is proposed using the renormalization group and the functional integral techniques.
Bourbonnais, Claude, Dumoulin, Benoit
core   +2 more sources

Solvability of functional quadratic integral equations with perturbation [PDF]

open access: yesOpuscula Mathematica, 2013
We study the existence of solutions of the functional quadratic integral equation with a perturbation term in the space of Lebesgue integrable functions on an unbounded interval by using the Krasnoselskii fixed point theory and the measure of weak ...
Mohamed M. A. Metwali
doaj   +1 more source

Functional equations for one-loop master integrals for heavy-quark production and Bhabha scattering

open access: yes, 2009
The method for obtaining functional equations, recently proposed by one of the authors, is applied to one-loop box integrals needed in calculations of radiative corrections to heavy-quark production and Bhabha scattering. We present relationships between
Appell   +37 more
core   +1 more source

On global attractivity of solutions of a functional-integral equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2007
We prove an existence theorem for a quadratic functional-integral equation of mixed type. The functional-integral equation studied below contains as special cases numerous integral equations encountered in nonlinear analysis.
Mohamed Darwish
doaj   +1 more source

On integral inequalities related to the weighted and the extended Chebyshev functionals involving different fractional operators

open access: yesJournal of Inequalities and Applications, 2020
The role of fractional integral operators can be found as one of the best ways to generalize classical inequalities. In this paper, we use different fractional integral operators to produce some inequalities for the weighted and the extended Chebyshev ...
Barış Çelik   +3 more
doaj   +1 more source

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