On the essential spectra of matrix operators and applications.
A characterization of the essential spectrum and applications
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 in terms...
Some new properties in Fredholm theory, Schechter essential spectrum, and application to transport theory.
A characterization of some subsets of S-essential spectra of a multivalued linear operator
We characterize some S-essential spectra of a closed linear relation in terms of certain linear relations of semi-Fredholm type.
Time asymptotic description of an abstract Cauchy problem solution and application to transport equation
In this paper, we study the time asymptotic behavior of the solution to an abstract Cauchy problem on Banach spaces without restriction on the initial data. The abstract results are then applied to the study of the time asymptotic behavior of solutions of an one-dimensional transport equation with boundary conditions in -space arising in growing cell populations and originally introduced by M. Rotenberg, J. Theoret. Biol. 103 (1983), 181–199.
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