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Reid's construction of minimal principal solution at infinity for linear Hamiltonian systems
Recently the authors introduced a theory of principal solutions at infinity assumption. In this theory the so-called minimal principal solution at infinity plays). In this paper we show that the minimal princip...
BA - Obecná matematika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Limit and integral properties of principal solutions for half-linear differential equations
Asymptotic properties of principal solutions of the half-linear differential equation are considered. It is shown that principal solutions are, roughly speaking, the smallest solutions in a neighborhood of...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
In this paper we open a new direction in the study of principal solutions, we introduce the minimal principal solution at infinity, which is a generalizationof the classical principal solution (so...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Principal solutions at infinity for time scale symplectic systems without controllability condition
In this paper we introduce a new concept of a principal solution at infinity in this theory in the current literature. We show that the principal solutions at infinity and that the principal solutions<...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Principal solutions and minimal sets of quasilinear differential equations
Principal solutions of the nonoscillatory half-linear differential equation are investigated and equivalency between the limit, Riccati and integral characterizations of these solutions is proved. The notion of principa...
BA - Obecná matematika
- 2004 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
In this paper we study the existence and properties of the principal solutions assumption. As our main results we prove that the principal solutions can be classified according to the rank of their first component ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems
New results in the Weyl-Titchmarsh theory for linear Hamiltonian differential systems are derived by using principal and antiprincipal solutions at infinity between the Weyl solution and the minimal principal s...
Pure mathematics
- 2018 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
The concept of principal solutions at infinity for possibly abnormal linear the theory of antiprincipal solutions at infinity and establish a limit characterization of the principal solutions. That is, we ...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties
systems on time scales and its connections with principal solutions at infinity of the initial conditions and a fixed principal solution at infinity from this genus. Further and a fixed principal solu...
Pure mathematics
- 2023 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Half-linear second order differential equations: oscillation theory and principal solution
Oscillatory properties of half-linear second order differential equations are investigated. A particular attention is devoted to the properties of the principal solution and to the role played by this solution is half-linea...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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