Acta Universitatis Lodziensis. Folia Mathematica vol. 18/2013

CONTENT

Stability of the Volterra Integrodifferential Equation

Janfada, Mohammad; Sadeghi, Gh. (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?

Tchuenche, Jean M. (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 ...
Integrable Functions Versus a Generalization of Lebesgue Points in Locally Compact Groups

Basu, Sanji (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?, ...
Families of Increasing Sequences Possessing the Harmonic Series Property

Wituła, Roman; Hetmaniok, Edyta; Słota, Damian (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 ...