Další formáty:
BibTeX
LaTeX
RIS
@article{692385, author = {Hilscher, Roman and Růžičková, Viera}, article_location = {San Diego (USA)}, article_number = {2}, keywords = {Discrete symplectic system; Quadratic functional; Nonnegativity; Positivity; Riccati inequality; Riccati equation; Conjoined basis; Sturmian theorem}, language = {eng}, issn = {0022-247X}, journal = {Journal of Mathematical Analysis and Applications}, title = {Riccati inequality and other results for discrete symplectic systems}, volume = {322}, year = {2006} }
TY - JOUR ID - 692385 AU - Hilscher, Roman - Růžičková, Viera PY - 2006 TI - Riccati inequality and other results for discrete symplectic systems JF - Journal of Mathematical Analysis and Applications VL - 322 IS - 2 SP - 1083-1098 EP - 1083-1098 PB - Elsevier Science SN - 0022247X KW - Discrete symplectic system KW - Quadratic functional KW - Nonnegativity KW - Positivity KW - Riccati inequality KW - Riccati equation KW - Conjoined basis KW - Sturmian theorem N2 - In this paper we establish several new results regarding the positivity and nonnegativity of discrete quadratic functionals F associated with discrete symplectic systems. In particular, we derive (i) the Riccati inequality for the positivity of F with separated endpoints, (ii) a characterization of the nonnegativity of F for the case of general (jointly varying) endpoints, and (iii) several perturbation-type inequalities regarding the nonnegativity of F with zero endpoints. Some of these results are new even for the special case of discrete Hamiltonian systems. ER -
HILSCHER, Roman a Viera RŮŽIČKOVÁ. Riccati inequality and other results for discrete symplectic systems. \textit{Journal of Mathematical Analysis and Applications}. San Diego (USA): Elsevier Science, 2006, roč.~322, č.~2, s.~1083-1098. ISSN~0022-247X.
|