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Nonlinear Poincare-Perron theorem
We establish a nonlinear extension of the Poincare-Perron theorem for a second order half-linear differential equation. Conditions are established which guarantee that all nontrivial solutions y of the equation are such tha...
Pure mathematics
- 2021 •
- Jimp •
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Jimp - Článek v periodiku v databázi Web of Science
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A few remarks on Poincare-Perron solutions and regularly varying solutions
We establish conditions guaranteeing the existence of (generalized) regularly varying solutions to $n$-th order linear differential and $q$-difference equations. The proofs are based mainly on classical Poincar'e's and Perron's theorems<...
Pure mathematics
- 2016 •
- Jimp •
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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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A precise asymptotic description of half-linear differential equations
(double roots) settings. We make also asymptotic analysis of Poincare-Perron solutions...
Mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Finiteness and periodicity of continued fractions over quadratic number fields
of the classical theorem of Lagrange. A particular example of these continued fractions is the β-continued fraction introduced by Bernat. As a corollary of our theorem we show that for any quadratic Perron number β, the β-...
Pure mathematics
- 2022 •
- 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
graphs of the coefficients, it is shown that if the Perron vectors to a constant multiple of the Perron vectors at infinity. Our results improve and generalize some recent convergence theorems....
Applied mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Exponential stability of linear delayed differential systems
Linear delayed differential systems are analyzed on a half-infinity interval. Uniform exponential stability is derived including, as partial cases, recently published results....
Applied mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Noether's Theorem in Non-Local Field Theories
Explicit expressions are constructed for a locally conserved vector current associated with a continuous internal symmetry and for energy-momentum and angular-momentum density tensors associated with the Poincare group in field theories with...
Physical sciences
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Non-absolutely convergent integrals with respect to distributions
We define an integral of a function with respect to a distribution. In case that the underlying distribution is just the Lebesgue measure, the definition leads to a new non-absolutely convergent integral which is wider than the Denjoy-Perron...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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On characteristic polynomial of higher order generalized Jacobsthal numbers
, the Perron-Frobenius theorem, and the Enestrom-Kakeya theorem.
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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