Perron-Frobenius and Krein-Rutman theorems for tangentially positive operators

Adam Kanigowski; Wojciech Kryszewski

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Fundamental decay mode and asymptotic behaviour of positive semigroups

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Impulsive integral equations in Banach spaces and applications.

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Time asymptotic description of an abstract Cauchy problem solution and application to transport equation

Boulbeba Abdelmoumen, Omar Jedidi, Aref Jeribi (2014)

Applications of Mathematics

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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 $L_{1}$ -space arising in growing cell populations and originally introduced by M. Rotenberg, J. Theoret. Biol. 103 (1983), 181–199.

Fredholm points of compactly perturbed bounded linear operators

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