Stationary optimal process in discounted dynamic programming
Discounted dynamic programming on Euclidean spaces
Random differential inclusions: Measurable selection approach
On a general dynamic programming problem
Deterministyczne programowanie dynamiczne z dyskretnym czasem
Retarded functional differential equations in Banach spaces and Henstock-Kurzweil-Pettis integrals
We prove an existence theorem for the equation x' = f(t,xₜ), x(Θ) = φ(Θ), where xₜ(Θ) = x(t+Θ), for -r ≤ Θ < 0, t ∈ Iₐ, Iₐ = [0,a], a ∈ R₊ in a Banach space, using the Henstock-Kurzweil-Pettis integral and its properties. The requirements on the function f are not too restrictive: scalar measurability and weak sequential continuity with respect to the second variable. Moreover, we suppose that the function f satisfies some conditions expressed in terms of the measure of weak noncompactness.
Immune responses and viral phenotype: Do replication rate and cytopathogenicity influence virus load?
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