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Smooth Infinite Economics [PDF]
, 1996 Equilibrium conditions in smooth infinite economies with separable utilities are described by Fredholm maps, which are Frechet differentiable. Therefore, Smale's extension of Sard's theorem can be used to studying infinite economies.
Chichilnisky, Graciela, Zhou, Yuqing
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r-FREDHOLM THEORY IN BANACH ALGEBRAS [PDF]
Glasgow Mathematical Journal, 2018 AbstractHarte (1982, Math. Z. 179, 431–436) initiated the study of Fredholm theory relative to a unital homomorphism T: A → B between unital Banach algebras A and B based on the following notions: an element a ∈ A is called Fredholm if 0 is not in the spectrum of Ta, while a is Weyl (Browder) if there exist (commuting) elements b and c in A with a = b +
Benjamin, Ronalda +2 more
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Fredholm Theory Relative to Any Algebra Homomorphisms
MathematicsIn this paper, we give another definition of Ruston elements and almost Ruston elements, which is equivalent to the definitions given by Mouton and Raubenheimer in the case that the homomorphism has a closed range and Riesz property.
Yingying Kong, Yabo Wang, Jingen Yang
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Advanced Engineering Research, 2014 The authors have previously studied two - dimensional Fredholm integral operators with homogeneous kernels of fiber - singular type. For this class of operators, the symbolic calculus is built using the theory of biloc al operators by V.
Vladimir Mikhaylovich Deundyak +1 more
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On new approach to semi-Fredholm theory in unital C*-algebras
Pracì Mìžnarodnogo Geometričnogo CentruAxiomatic Fredholm theory in unital C*-algebras was established in [D. Kečkić, Z. Lazović, Acta Sci. Math., 83(3-4):629--655, 2017]. Following the pure algebraic approach by Kečkić and Lazović, in the author's paper [S. Ivković, Banach J. Math. Anal., 17:
Stefan Ivkovic
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 We consider the questions of one value solvability of the inverse problem for a nonlinear partial Fredholm type integro-differential equation of the fourth order with degenerate kernel. The method of degenerate kernel is developed for the case of inverse
Tursun K Yuldashev
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Existence of Traveling Wave Fronts for a Generalized Nonlinear Schrodinger Equation
Advances in Mathematical Physics, 2022 In the presented paper, a generalized nonlinear Schrodinger equation without delay convolution kernel and with special delay convolution kernel is investigated.
Yuanhua Lin, Liping He
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Study on Infinitely Many Solutions for a Class of Fredholm Fractional Integro-Differential System
Fractal and Fractional, 2022 This paper deals with a class of nonlinear fractional Sturm–Liouville boundary value problems. Each sub equation in the system is a fractional partial equation including the second kinds of Fredholm integral equation and the p-Laplacian operator ...
Dongping Li, Yankai Li, Fangqi Chen
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Fredholm theory for band-dominated and related operators: a survey [PDF]
, 2013 This paper presents the Fredholm theory on l^p-spaces for band-dominated operators and important subclasses, such as operators in the Wiener algebra. It particularly closes several gaps in the previously known results for the case p=\infty and addresses ...
Seidel, Markus
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Nonlinear Analysis, 2023 The existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators is the topic of our paper.
Sivajiganesan Sivasankar +2 more
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