Results 1 to 10 of about 30,121 (246)
A degree theory for locally compact perturbations of Fredholm maps in Banach spaces [PDF]
Abstract and Applied Analysis, 2006 We present an integer valued degree theory for locally compact perturbations of Fredholm maps of index zero between (open sets in) Banach spaces (quasi-Fredholm maps, for short). The construction is based on the Brouwer degree theory and on the notion of
Pierluigi Benevieri, Massimo Furi
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A general Fredholm theory III: Fredholm functors and polyfolds [PDF]
Geometry & Topology, 2009 We describe a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. The basic feature of these new spaces is that in general they may have locally varying dimensions. These new spaces are needed for a functional analytic treatment of nonlinear problems involving analytic limiting behavior.
Helmut Hofer +2 more
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Perturbation theory for generalized Fredholm operators [PDF]
Pacific Journal of Mathematics, 1974 Selwyn Caradus
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A note on preservation of spectra for two given operators [PDF]
Mathematica Bohemica, 2020 We study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space.
Carlos Carpintero +3 more
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Fredholm theory for demicompact linear relations
Applied General Topology, 2022 We first attempt to determine conditions on a linear relation T such that μT becomes a demicompact linear relation for each μ ∈ [0,1)(see Theorems 2.4 and 2.5).
Aymen Ammar, Slim Fakhfakh, Aref Jeribi
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Existence of traveling waves in a delayed convecting shallow water fluid model
Electronic Research Archive, 2023 This paper investigates a delayed shallow water fluid model that has not been studied in previous literature. Applying geometric singular perturbation theory, we prove the existence of traveling wave solutions for the model with a nonlocal weak delay ...
Minzhi Wei
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Generalized lower characteristic involving measures of non-strict singularity
Topological Algebra and its Applications, 2023 This work establishes a connection between the class of generalized lower characteristic operators and [⋅]a{\left[\cdot ]}_{a} acting on a Banach space involving measures of non-strict singularity.
Baraket Sami +2 more
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On the Fredholm Theory of Multipliers [PDF]
Proceedings of the American Mathematical Society, 1994 Multipliers that are Fredholm operators on certain commutative semisimple Banach algebras may be characterized by means of a quotient algebra of multipliers.
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Alexandria Engineering Journal, 2023 In this paper, the existence of mild solution and controllability of fractional semilinear mixed Volterra–Fredholm integro differential equations of order ...
Sadam Hussain +3 more
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A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application
Journal of Applied Mathematics, 2014 We establish a new nonlinear retarded Volterra-Fredholm type integral inequality. The upper bounds of the embedded unknown functions are estimated explicitly by using the theory of inequality and analytic techniques.
Limian Zhao, Shanhe Wu, Wu-Sheng Wang
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