18 citations · 22 across the 3 of their papers we have counts for
6 papers
Bi-continuous semigroups for flows on infinite networks
Christian Budde, Marjeta Kramar Fijavž
We study transport processes on infinite metric graphs with non-constant velocities and matrix boundary conditions in the -setting. We apply the theory of bi-…
Generation of relatively uniformly continuous Semigroups on Vector Lattices
M. Kaplin, M. Kramar Fijavz
In this paper we prove a Hille-Yosida type theorem for relatively uniformly continuous positive semigroups on vector lattices. We introduce the notions of relatively uniformly cont…
Exact and Positive Controllability of Boundary Control Systems
Klaus-Jochen Engel, Marjeta Kramar Fijavž
Using the semigroup approach to abstract boundary control problems we characterize the space of all exactly reachable states. Moreover, we study the situation when the controls of…
Semigroups of max-plus linear operators
Marjeta Kramar Fijavž, Aljoša Peperko, Eszter Sikolya
We define strongly continuous max-additive and max-plus linear operator semigroups and study their main properties. We present some important examples of such semigroups coming fro…
Asymptotic periodicity of flows in time-depending networks
Fatih Bayazit, Britta Dorn, Marjeta Kramar Fijavž
We consider a linear transport equation on the edges of a network with time-varying coefficients. Using methods for non-autonomous abstract Cauchy problems, we obtain well-posednes…
Variational and Semigroup Methods for Waves and Diffusion in Networks
Marjeta Kramar Fijavz, Delio Mugnolo, and Eszter Sikolya
We study diffusion and wave equations in networks. Combining semigroup and variational methods we obtain well-posedness and many nice properties of the solutions in general L^p -co…