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Generalized Ordinary Differential Equations and Discrete Systems.
This note is an attempt to show the possibility to deal with discrete equations in the frame of generalized ordinary differential equationsdefined by Jaroslav Kurzweil in 1957. Generalized ordinary
BA - Obecná matematika
- 2000 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Periodic averaging theorems for various types of equations
We prove a periodic averaging theorem for generalized ordinary differential equations and show that averaging theorems for ordinary differential equations with impulses and for dynamic
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Generalized differential equations: Differentiability of solutions with respect to initial conditions and parameters
We show that under certain assumptions, solutions of generalized ordinary differential equations are differentiable with respect to initial conditions and parameters. This result unifies and extends severa...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Dynamic equations on time scales and generalized ordinary differential equations
The aim of this paper is to show that dynamic equations on time scales can be treated in the framework of generalized ordinary differential equations as introduced by J. Kurzweil. We also use some known re...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Measure functional differential equations and functional dynamic equations on time scales
We study measure functional differential equations and clarify their relation to generalized ordinary differential equations. We show that functional dynamic equations on time scales repr...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
A general Lipschitz uniqueness criterion for scalar ordinary differential equations
In the paper a general uniqueness criterion is given. In the proof, the theorem on implicit function is used.
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Bifurcation of periodic solutions to nonlinear measure differential equations
to be bifurcation point for non autonomous generalized ordinary differential equations (based their relationship to Kurzweil's generalized differential equations is disclosed. Although t...
Pure mathematics
- 2025 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Linear measure functional differential equations with infinite delay
We use the theory of generalized linear ordinary differential equations in Banach spaces to study linear measure functional differential equations with infinite differential equations...
BA - Obecná matematika
- 2014 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Measure functional differential equations with infinite delay
We introduce measure functional differential equations with infinite delay and an axiomatically described phase space. We show how to transform these equations into generalized ordinary differential
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Lepage forms, closed two-forms and second order ordinary differential equations
of the classes of 2-forms. In the theory of ordinary differential equations on jet bundles they are used to construct exterior differential systems associated with the equations, and Lepage 2-forms in the...
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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