Detail publikačního výsledku

Perturbation of time scale quadratic functionals with variable endpoints

RŮŽIČKOVÁ, V.; HILSCHER, R.

Originální název

Perturbation of time scale quadratic functionals with variable endpoints

Anglický název

Perturbation of time scale quadratic functionals with variable endpoints

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

In this paper we establish perturbation results pertaining the nonnegativity and positivity of a time scale quadratic functional $\F_0$ and its perturbations of the form $$ \G(x,u)=\F_0(x,u)+\alpha\,\|x(a)\|^2+\beta\,\|x(b)\|^2, $$ where the endpoints of the functional $\F_0$ are zero while the endpoints of the functional $\G$ can vary. These functionals are closely related to time scale symplectic systems. Moreover, we extend such results to functionals with variable endpoints. The results of this paper generalize perturbation results recently known for the special case of the discrete time, but they are new for the continuous time.

Anglický abstrakt

In this paper we establish perturbation results pertaining the nonnegativity and positivity of a time scale quadratic functional $\F_0$ and its perturbations of the form $$ \G(x,u)=\F_0(x,u)+\alpha\,\|x(a)\|^2+\beta\,\|x(b)\|^2, $$ where the endpoints of the functional $\F_0$ are zero while the endpoints of the functional $\G$ can vary. These functionals are closely related to time scale symplectic systems. Moreover, we extend such results to functionals with variable endpoints. The results of this paper generalize perturbation results recently known for the special case of the discrete time, but they are new for the continuous time.

Klíčová slova

Quadratic functional, Nonnegativity, Positivity, Time scale, Time scale symplectic system, Linear Hamiltonian system.

Klíčová slova v angličtině

Quadratic functional, Nonnegativity, Positivity, Time scale, Time scale symplectic system, Linear Hamiltonian system.

Autoři

RŮŽIČKOVÁ, V.; HILSCHER, R.

Rok RIV

2012

Vydáno

31.12.2007

Nakladatel

Research India Publications

ISSN

0973-5321

Periodikum

Advances in Dynamical Systems and Applications (ADSA)

Svazek

2

Číslo

2

Stát

Indická republika

Strany od

207

Strany do

224

Strany počet

18

BibTex

@article{BUT44057,
  author="Viera {Štoudková Růžičková} and Roman Šimon {Hilscher}",
  title="Perturbation of time scale quadratic functionals with variable endpoints",
  journal="Advances in Dynamical Systems and Applications (ADSA)",
  year="2007",
  volume="2",
  number="2",
  pages="207--224",
  issn="0973-5321"
}