Detail publikace

Perturbation of time scale quadratic functionals with variable endpoints

RŮŽIČKOVÁ, V. HILSCHER, R.

Originální název

Perturbation of time scale quadratic functionals with variable endpoints

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

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

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

Autoři

RŮŽIČKOVÁ, V.; HILSCHER, R.

Rok RIV

2007

Vydáno

31. 12. 2007

Nakladatel

Research India Publications

ISSN

0973-5321

Periodikum

Advances in Dynamical Systems and Applications (ADSA)

Ročník

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"
}