Results 91 to 100 of about 24,063 (200)
Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations
Advanced Nonlinear Studies, 2020 By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
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Fredholm Operators and Spectral Flow [PDF]
, 2016 These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.
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Harmonic maps to the circle with higher dimensional singular set
Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
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Nonlinear Ritz approximation for Fredholm functionals
Electronic Journal of Differential Equations, 2015 In this article we use the modify Lyapunov-Schmidt reduction to find nonlinear Ritz approximation for a Fredholm functional. This functional corresponds to a nonlinear Fredholm operator defined by a nonlinear fourth-order differential equation.
Mudhir A. Abdul Hussain
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Non-perturbative approaches to the quantum Seiberg-Witten curve
Journal of High Energy Physics, 2020 We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of N $$ \mathcal{N} $$ = 2, SU(2) super Yang-Mills theory, which is closely related to the modified Mathieu operator.
Alba Grassi, Jie Gu, Marcos Mariño
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Bifurcation theory for Fredholm operators
Journal of Differential EquationsThis paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez +1 more
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Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces
Известия Иркутского государственного университета: Серия "Математика", 2016 We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
doaj
Journal of Inequalities and Applications, 2008 The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader +3 more
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Advances in Mathematical Physics, 2015 The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation.
Y. G. Smirnov, A. A. Tsupak
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Interpolation of Fredholm operators
Advances in Mathematics, 2016 We prove novel results on interpolation of Fredholm operators including an abstract factorization theorem. The main result of this paper provides sufficient conditions on the parameters $ \in (0,1)$ and $q\in \lbrack 1,\infty ]$ under which an operator $A$ is a Fredholm operator from the real interpolation space $(X_{0},X_{1})_{ ,q}$ to $(Y_{0},Y_{1})
Asekritova, I. +2 more
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