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Perturbation of discrete quadratic functionals

In: Tatra Mountains Mathematical Publications, vol. 38, no. 4
Viera Růžičková
Detaily:
Rok, strany: 2007, 229 - 241
Kľúčové slová:
discrete symplectic system, quadratic functional, nonnegativity, positivity
O článku:
The nonnegativity of a discrete quadratic functional $mathcal F(x,u)$, associated with discrete symplectic systems, with zero, separated, and general endpoints, respectively, on admissible pairs $(x,u)$ with corresponding boundary conditions is equivalent to the nonnegativity of certain perturbed functionals, e.g., of the functional $mathcal F(x,u)+α |x0|2+β|xN+1|2$ on admissible pairs $(x,u)$ such that ${(egin{smallmatrix} x0 xN+1 end{smallmatrix})}$ is restricted to a (larger) subspace. Similar results hold also in case of the positivity.
Ako citovať:
ISO 690:
Růžičková, V. 2007. Perturbation of discrete quadratic functionals. In Tatra Mountains Mathematical Publications, vol. 38, no.4, pp. 229-241. 1210-3195.

APA:
Růžičková, V. (2007). Perturbation of discrete quadratic functionals. Tatra Mountains Mathematical Publications, 38(4), 229-241. 1210-3195.