Detail publikace

Perturbation of time scale quadratic functionals with variable endpoints

RŮŽIČKOVÁ, V. HILSCHER, R.

Anglický název

Perturbation of time scale quadratic functionals with variable endpoints

Typ

Článek recenzovaný mimo WoS a Scopus

Jazyk

en

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.

Klíčová slova anglicky

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

Vydáno

2007-12-31

Nakladatel

Research India Publications

ISSN

0973-5321

Časopis

Advances in Dynamical Systems and Applications (ADSA)

Ročník

2

Číslo

2

Strany od–do

207–224

Počet stran

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"
}