Lipschitzian operators of substitution in the space of vector functions of bounded variation
Jerzy Miś (1989)
Annales Polonici Mathematici
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Displaying similar documents to “Relative boundedness conditions and the perturbation of nonlinear operators”
Lipschitzian operators of substitution in the space of vector functions of bounded variation
On spectra of nonlinear operators
Slavomír Burýšek (1970)
Commentationes Mathematicae Universitatis Carolinae
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Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory.
Abdelmoumen, Boulbeba, Dehici, Abdelkader, Jeribi, Aref, Mnif, Maher (2008)
Journal of Inequalities and Applications [electronic only]
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Remarks to weakly continuous inverse operators and an application in hyperelasticity
Milan Konečný (1999)
Acta Mathematica et Informatica Universitatis Ostraviensis
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Different spectra for nonlinear operators.
Catană, Petronela (2005)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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A characterization of the essential spectrum and applications
Aref Jeribi (2002)
Bollettino dell'Unione Matematica Italiana
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In this article the essential spectrum of closed, densely defined linear operators is characterized on a large class of spaces, which possess the Dunford-Pettis property or which isomorphic to one of the spaces . A practical criterion guaranteeing its stability, for perturbed operators, is given. Further we apply the obtained results to investigate the essential spectrum of one-dimensional transport equation with general boundary conditions. Finally, sufficient conditions...