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Now showing items 1-9 of 9

#### 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 ...

#### On Compact Sets of Compact Operators on Banach Spaces not Containing a Copy of l^1

(Łódź University Press, 2010)

F. Galaz-Fontes (Proc. AMS., 1998) has established a criterion
for a subset of the space of compact linear operators from a reflexive and
separable space X into a Banach space Y to be compact. F. Mayoral (Proc.
AMS., ...

#### 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 ...

#### Some Non-Measurable Sets

(Łódź University Press, 2010)

This paper contains constructions of some non-measurable sets,
based on classical Vitali’s and Bernstein’s constructions (see for example [6]).
This constructions probably belong to mathematical folklore, but as far ...

#### A Classical Approach to Dynamics of Parabolic Competitive Systems

(Łódź University Press, 2010)

We study the reaction-diffusion system, its stationary solutions,
the behavior of the system near them and discuss similarities and differences
for different boundary conditions.

#### On a Generalized Sturm-Liouville Problem

(Łódź University Press, 2010)

Basic results of our paper are devoted to a generalized Sturm-Liouville problem.

#### Ideal Convergence of Sequences and Some of its Applications

(University of Łódź Press, 2017)

We give a short survey of results on ideal convergence with some
applications. In particular, we present a contribution of mathematicians from Łódź to these investigations during the recent 16 years.