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Non-oscillation criterion for Euler type half-linear difference equations with consequences in linear case
prove a non-oscillation criterion for the treated equations. Since the obtained criterion is new in several cases, we formulate many consequences explicitly. In particular, the criterion is new for intensively stu...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Non-oscillation of modified Euler type linear and half-linear differential equations
Modified Euler type second order half-linear differential equations are considered and a non-oscillation criterion is derived for them. This criterion general case. To prove the non-oscillation criteri...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations
In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of ...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Non-oscillation of linear and half-linear differential equations with unbounded coefficients
: Averaging technique and oscillation criterion for linear and half-linear equations, ApplWe deal with Euler type half-linear second order differential equations and our intention is to derive conditions in order t...
Applied mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Riccati transformation and non-oscillation criterion for linear difference equations
We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward non-oscillation criterion for the treated equations. In contrast to a number of known...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Envelope Time as Measure of Control Quality
criterion of stable control design was developed. The criterion is motivated by Lyapunov criterion of local stability. It is suitable both for linear and non-linear systemThe combination of MIMO ...
Automation and control systems
- 2021 •
- D •
- Link
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D - Stať ve sborníku
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Oscillation of linear and half-linear differential equations via generalized Riccati technique
a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations ...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Euler type linear and half-linear differential equations and their non-oscillation in the critical oscillation case
linear and half-linear differential equations. We focus on the so-called conditional oscillation, where there exists a borderline between oscillatory and non-oscillatory are oscillatory or non-oscillatory in the t...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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An explicit criterion for the existence of positive solutions of the linear delayed equation
New explicit criteria for existence of oscillatory, non-oscillatory and positive solutions of the linear delayed equation are given.
BA - Obecná matematika
- 2012 •
- D
Rok uplatnění
D - Stať ve sborníku
Oscillation of linear and half-linear difference equations via modified Riccati transformation
is the oscillatory counterpart of a previously obtained non-oscillation criterion for the treatedIn this paper, we introduce a new oscillation criterion for Euler type half-linear difference equations with positiv...
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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