On a Fučík problem
Valter Šeda (1983)
Annales Polonici Mathematici
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Valter Šeda (1983)
Annales Polonici Mathematici
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Boris Rudolf (1995)
Archivum Mathematicum
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In the paper it is proved that each generalized boundary value problem for the n-th order linear differential equation generates a Fredholm mapping of index zero.
Boris Rudolf (2000)
Archivum Mathematicum
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In the paper it is proved that the generalized linear boundary value problem generates a Fredholm operator. Its index depends on the number of boundary conditions. The existence results of Landesman-Lazer type are given as an application to nonlinear problems by using dual generalized boundary value problems.
David Ruelle (1989)
Recherche Coopérative sur Programme n°25
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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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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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