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Integrable Functions Versus a Generalization of Lebesgue Points in Locally Compact Groups
(Łódź University Press, 2013)
Here in this paper we intend to deal with two questions: How large is a “Lebesgue Class” in the topology of Lebesgue integrable functions, and also what can be said regarding the topological size of a “Lebesgue set” in R?, ...
Stability of the Volterra Integrodifferential Equation
(Łódź University Press, 2013)
In this paper, the Hyers-Ulam stability of the Volterra integrodifferential equation and the Volterra equation on the finite interval [0, T], T > 0, are studied, where the state x(t) take values in a Banach space X.
Spatial and age-dependent population dynamics model with an additional structure: can there be a unique solution?
(Łódź University Press, 2013)
A simple age-dependent population dynamics model with an additional structure or physiological variable is presented in its variational formulation. Although the model is well-posed, the closed form solution with space ...
Families of Increasing Sequences Possessing the Harmonic Series Property
(Łódź University Press, 2013)
We prove in this paper that any maximal, with respect to inclusion, subset of N – the family of all increasing sequences of positive integers –
possessing the harmonic series property has the cardinality of the ...