Results 21 to 30 of about 20,552 (179)
Algorithms, 2023 Integro-differential equations involving Volterra and Fredholm operators (VFIDEs) are used to model many phenomena in science and engineering. Nonlocal boundary conditions are more effective, and in some cases necessary, because they are more accurate ...
Efthimios Providas +1 more
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On Dirichlet-to-Neumann Maps, Nonlocal Interactions, and Some Applications to Fredholm Determinants [PDF]
, 2010 We consider Dirichlet-to-Neumann maps associated with (not necessarily self-adjoint) Schrodinger operators describing nonlocal interactions in $L^2(\Omega; d^n x)$, $n\geq 2$, where $\Omega$ is an open set with a compact, nonempty boundary satisfying ...
Gesztesy, Fritz +2 more
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Elliptic operators and their symbols
Demonstratio 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
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Advances in Difference Equations, 2018 In this paper, we derive a new generalized Volterra–Fredholm integral inequality and use it to study the dependence of solutions on the initial data for a class of fractional differential equations with Fredholm integral operators.
Xiao-Li Ding, Bashir Ahmad
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Linear and nonlinear non-Fredholm operators and their applications
Electronic Research Archive, 2022 In this survey we discuss the recent results on the existence in the sense of sequences of solutions for certain elliptic problems containing the non-Fredholm operators. First of all, we deal with the solvability in the sense of sequences for some fourth
Messoud Efendiev , Vitali Vougalter
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The universal gerbe, Dixmier-Douady class, and gauge theory [PDF]
, 2001 We clarify the relation between the Dixmier-Douady class on the space of self adjoint Fredholm operators (`universal B-field') and the curvature of determinant bundles over infinite-dimensional Grassmannians.
Carey, Alan L., Mickelsson, Jouko
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Perturbation Results on Semi-Fredholm Operators and Applications
Journal of Inequalities and Applications, 2009 We give some results concerning stability in the Fredholm operators and Browder operators set, via the concept of measure of noncompactness. Moreover, we prove some localization results on the essential spectra of bounded operators on Banach space.
Boulbeba Abdelmoumen, Hamadi Baklouti
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On non-adjointable semi-Weyl and semi-B-Fredholm operators over C*-algebras
, 2021 We extend further semi-A-Fredholm theory by generalizing the results from classical semi-Weyl theory on Hilbert spaces. Moreover, we obtain an analogue of the results from [17] in the setting of non-adjointable operators.
Ivkovic, Stefan
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On Semi-Fredholm Band-Dominated Operators [PDF]
, 2014 In this paper we study the semi-Fredholm property of band-dominated operators $A$ and prove that it already implies the Fredholmness of $A$ in all cases where this is not disqualified by obvious reasons. Moreover, this observation is applied to show that
Seidel, Markus
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The Generalized Fredholm Operators [PDF]
Transactions of the American Mathematical Society, 1976 Let X, Y be Banach spaces over either the real field or the complex field. A continuous linear operator will be called a generalized Fredholm operator if T ( X ) T(X) is closed in Y, and Ker T and Coker T are reflexive Banach spaces.
openaire +2 more sources