Results 11 to 20 of about 603 (164)

Some Results in Fuzzy b-Metric Space with b-Triangular Property and Applications to Fredholm Integral Equations and Dynamic Programming

open access: yesMathematics, 2023
In this paper, we introduce the b-triangular property in fuzzy b-metric space. Furthermore, we give some new fixed point results in fuzzy b-metric space for non-continuous mappings.
Gunaseelan Mani   +4 more
doaj   +1 more source

On the Fredholm Property of Bisingular Pseudodifferential Operators [PDF]

open access: yesIntegral Equations and Operator Theory, 2016
For operators belonging either to a class of global bisingular pseudodifferential operators on $R^m \times R^n$ or to a class of bisingular pseudodifferential operators on a product $M \times N$ of two closed smooth manifolds, we show the equivalence of their ellipticity (defined by the invertibility of certain associated homogeneous principal symbols)
BORSERO, MASSIMO, SEILER, Joerg
openaire   +3 more sources

Unique Fixed-Point Results in Fuzzy Metric Spaces with an Application to Fredholm Integral Equations

open access: yesJournal of Function Spaces, 2021
This paper aims at proving some unique fixed-point results for different contractive-type self-mappings in fuzzy metric spaces by using the “triangular property of the fuzzy metric”.
Iqra Shamas   +4 more
doaj   +1 more source

Elliptic operators and their symbols

open access: yesDemonstratio Mathematica, 2019
We consider special elliptic operators in functional spaces on manifolds with a boundary which has some singular points. Such an operator can be represented by a sum of operators, and for a Fredholm property of an initial operator one needs a Fredholm ...
Vasilyev Vladimir
doaj   +1 more source

Fredholm properties of evolution semigroups

open access: yesIllinois Journal of Mathematics, 2004
The authors consider questions related to the linear differential equation \[ u'(t)= A(t)u(t) \] on a Banach space \(X\) in which the operators \(A(t)\) might be unbounded. Let \(\{U(t,\tau)\}_{t\geq\tau}\), \(t,\tau\in\mathbb{R}\), denote a strongly continuous exponentially bounded evolution family on \(X\).
Latushkin, Yuri, Tomilov, Yuri
openaire   +3 more sources

Numerical Solution of Mixed Volterra – Fredholm Integral Equation Using the Collocation Method

open access: yesمجلة بغداد للعلوم, 2020
Volterra – Fredholm integral equations (VFIEs) have a massive interest from researchers recently. The current study suggests a collocation method for the mixed Volterra - Fredholm integral equations (MVFIEs)."A point interpolation collocation method is ...
Nahdh S. M. Al-Saif, Ameen Sh. Ameen
doaj   +1 more source

Generalized Fredholm Properties for Invariant Pseudodifferential Operators [PDF]

open access: yesActa Applicandae Mathematicae, 2012
We define classes of pseudodifferential operators on $G$-bundles with compact base and give a generalized $L^2$ Fredholm theory for invariant operators in these classes in terms of von Neumann's $G$-dimension. We combine this formalism with a generalized Paley-Wiener theorem, valid for bundles with unimodular structure groups, to provide solvability ...
openaire   +3 more sources

Algebraic independence properties of the Fredholm series [PDF]

open access: yesJournal of the Australian Mathematical Society, 1978
AbstractWe consider algebraic independence properties of series such as We show that the functions fr(z) are algebraically independent over the rational functions Further, if αrs (r = 2, 3, 4, hellip; s = 1, 2, 3, hellip) are algebraic numbers with 0 < |αrs|, we obtain an explicit necessary and sufficient condition for the algebraic independence of
Loxton, J. H., van der Poorten, A. J.
openaire   +2 more sources

Properties and for Bounded Linear Operators

open access: yesJournal of Mathematics, 2013
We shall consider properties which are related to Weyl type theorem for bounded linear operators , defined on a complex Banach space . These properties, that we call property , means that the set of all poles of the resolvent of of finite rank in the ...
M. H. M. Rashid
doaj   +1 more source

Eigenvalue problem for differential Cauchy-Riemann operator with nonlocal boundary conditions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014
We consider the reduced spectral problem for the Cauchy-Riemann operator with nonlocal boundary conditions to Fredholm linear integral equation of the second kind with a continuous kernel. The corresponding Fredholm determinant is defined for all spectral
Nurlan N Imanbaev
doaj   +1 more source

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