Article Contents
Article Contents

# Non-autonomous Honesty theory in abstract state spaces with applications to linear kinetic equations

• We provide a honesty theory of substochastic evolution families in real abstract state space, extending to an non-autonomous setting the result obtained for $C_0$-semigroups in our recent contribution [On perturbed substochastic semigroups in abstract state spaces, Z. Anal. Anwend. 30, 457--495, 2011]. The link with the honesty theory of perturbed substochastic semigroups is established. Application to non-autonomous linear Boltzmann equation is provided.
Mathematics Subject Classification: Primary: 47D06; Secondary: 47D30, 47D07, 47N50.

 Citation:

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