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1. Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)

Creator:
Fischer, Alexandr
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
almost periodic function, Fourier coefficient, Fourier exponent, spectrum of almost periodic function, almost periodic system of differential equations, formal almost periodic solution, almost periodic solution, distance of two spectra, time lag, and neutral differential equation
Language:
English
Description:
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach)

Creator:
Fischer, Alexandr
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
almost periodic function, Fourier coefficient, Fourier exponent, spectrum of almost periodic function, almost periodic system of differential equations, formal almost periodic solution, distance of two spectra, and time lag
Language:
English
Description:
This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

3. Past land use co-determines the present distribution of dry grassland plant species

Creator:
Chýlová, Tereza and Münzbergová, Zuzana
Type:
article and TEXT
Subject:
abandoned agricultural land, grazing, habitat fragmentation, habitat occupancy, habitat suitability, metapopulation dynamics, plant population, seed dispersal, and time lag
Language:
English
Description:
Landscapes are constantly changing and, for plant species, this means that some suitable patches disappear while others emerge. Distribution of species in the landscape depends, therefore, not only on actual distribution of suitable habitat patches but also on a species’ ability to persist in habitats that are already unsuitable and disperse to habitats that have become suitable. Distribution of species in such landscapes thus strongly depends on the spatio-temporal structure of the landscape and species traits. The present study aims to determine to what degree past land use affects the present distribution of dry grassland plant species at a regional scale. We studied the distribution of 52 dry grassland species in 215 grassland patches. Data on bedrock, slope, potential irradiation, area and past land use for two periods (1950s and 1980s) were collected from maps. Multivariate analysis was performed to assess the relative contribution of environmental and historical factors on present species distribution. In addition, analyses were carried out to reveal the relationship between past land use and occurrence of single species. This study shows that dry grasslands are habitats with rapid land-use changes. Distribution of species in these habitats is largely determined by environmental conditions, but past land-use also has a significant effect. In many species, the effect of past land use is even more important than the effect of environmental conditions. For the species investigated, those restricted both to former pastures and fields could be identified. Only a minority of species are restricted to continuous grasslands. This indicates that many species colonized places cultivated in 1950 within 50 years, suggesting that the dynamics of these species is relatively fast. The results suggest that many dry grassland communities in the region are of recent origin and the distribution of species in these habitats is partly determined by past land use. In addition to information on environmental conditions, detailed knowledge of land use history, landscape structure and species attributes is needed in order to understand the distribution of species in dry grassland communities.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/

4. Stability and sliding modes for a class of nonlinear time delay systems

Creator:
Răsvan, Vladimir
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
time lag, extended nonlinearity, and absolute stability
Language:
English
Description:
The following time delay system x˙ = Ax(t) +∑r 1 bq∗ i x(t − τi) − bϕ(c ∗ x(t)) is considered, where ϕ: ℝ → ℝ may have discontinuities, in particular at the origin. The solution is defined using the ''redefined nonlinearity'' concept. For such systems sliding modes are discussed and a frequency domain inequality for global asymptotic stability is given.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public