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Perron Vectors of an Irreducible Nonnegative Interval Matrix
As is well known, an irreducible nonnegative matrix possesses a uniquely determined Perron vector. As the main result of this article we give a description of the set of Perron vectors of all the matrices contained...
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Uniform exponential stability of linear delayed integro-differential vector equations
Uniform exponential stability of a linear delayed integro-differential vector equation is considered. The main result is of an explicit type, depending on all delays, and its proof is based on an a priori estimation of solutions, a Bohl-
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Periodicity of general multidimensional continued fractions using repetend matrix form
that a number of vectors have an eventually periodic expansion in the Algebraic Jacobi-Perron algorithm. Further, we give criteria for vectors to have purely periodic expansions; in particular, the vector cannot b...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients
Nonautonomous linear ordinary differential equations with Kirchhoff coefficients are considered. Under appropriate assumptions on the topology of the directed graphs of the coefficients, it is shown that if the Perron vectors to a c...
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Simple tests for uniform exponential stability of a linear delayed vector differential equation
A linear delayed vector equation is nvestigated. The system is considered in the most general setting and under weak assumptions about the entries of matrices and delays. The main result on uniform exponential stability is universal in the s...
Applied mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A Note on Integration by Parts for Abstract Perron-Stieltjes Integrals.
Integration by parts results concerning Stieltjes integralsfor functions with values in Banach spaces are presented. The background of the theory is the Kurzweil approach to integration based on Riemann type integral sums, which leads to the Perr...
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
An elementary way to introduce a Perron-like integral
We give an alternative definition of integral at the generality of the Perron integral and propose an exposition of the foundations of integral theory starting from this new definition....
BA - Obecná matematika
- 2011 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Generalized Riemann and Perron integrals and their relations
BA - Obecná matematika
- 1997 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Simple uniform exponential stability conditions for a system of linear delay differential equations
Uniform exponential stability of linear systems with time varying coefficients is studied. New explicit result is derived with the proofbased on Bohl–Perron theorem....
Pure mathematics
- 2015 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Abstract Perron-Stieltjes Integral.
Annotation not available...
BA - Obecná matematika
- 1996 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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