On a Fučík problem
Valter Šeda (1983)
Annales Polonici Mathematici
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Valter Šeda (1983)
Annales Polonici Mathematici
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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A. Buraczewski (1974)
Colloquium Mathematicae
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David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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Abdou, M.A., El-Bary, A.A. (2001)
International Journal of Mathematics and Mathematical Sciences
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R. Smarzewski (1976)
Applicationes Mathematicae
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Jacobus J. Grobler, Heinrich Raubenheimer, Andre Swartz (2016)
Czechoslovak Mathematical Journal
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We show that the index defined via a trace for Fredholm elements in a Banach algebra has the property that an index zero Fredholm element can be decomposed as the sum of an invertible element and an element in the socle. We identify the set of index zero Fredholm elements as an upper semiregularity with the Jacobson property. The Weyl spectrum is then characterized in terms of the index.
Robert Israel (1974)
Studia Mathematica
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Nemati, S., Lima, P., Ordokhani, Y.
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A new method is proposed for the numerical solution of linear mixed Volterra-Fredholm integral equations in one space variable. The proposed numerical algorithm combines the trapezoidal rule, for the integration in time, with piecewise polynomial approximation, for the space discretization. We extend the method to nonlinear mixed Volterra-Fredholm integral equations. Finally, the method is tested on a number of problems and numerical results are given.
P. Pejović (1973)
Matematički Vesnik
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Gleason, Jim (2001)
Georgian Mathematical Journal
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M. Berkani, M. Sarih (2001)
Studia Mathematica
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Let X be a Banach space and let T be a bounded linear operator acting on X. Atkinson's well known theorem says that T is a Fredholm operator if and only if its projection in the algebra L(X)/F₀(X) is invertible, where F₀(X) is the ideal of finite rank operators in the algebra L(X) of bounded linear operators acting on X. In the main result of this paper we establish an Atkinson-type theorem for B-Fredholm operators. More precisely we prove that T is a B-Fredholm operator if and only...
David Cramer, Yuri Latushkin (2007)
Banach Center Publications
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We develop a difference equations analogue of recent results by F. Gesztesy, K. A. Makarov, and the second author relating the Evans function and Fredholm determinants of operators with semi-separable kernels.
Nassar H.S. Haidar (1994)
Aequationes mathematicae
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Nassar H.S. Haidar (1994)
Aequationes mathematicae
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