ŠIMON HILSCHER, Roman and Petr ZEMÁNEK. Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter. Journal of Difference Equations and Applications. Taylor and Francis, 2014, vol. 20, No 1, p. 84-117. ISSN 1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2013.813496. |
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@article{1109193, author = {Šimon Hilscher, Roman and Zemánek, Petr}, article_number = {1}, doi = {http://dx.doi.org/10.1080/10236198.2013.813496}, keywords = {Weyl-Titchmarsh theory; symplectic system; M-function; Weyl disk; Weyl circle; limit point case; limit circle case; square summable solution}, language = {eng}, issn = {1023-6198}, journal = {Journal of Difference Equations and Applications}, title = {Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter}, volume = {20}, year = {2014} }
TY - JOUR ID - 1109193 AU - Šimon Hilscher, Roman - Zemánek, Petr PY - 2014 TI - Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter JF - Journal of Difference Equations and Applications VL - 20 IS - 1 SP - 84-117 EP - 84-117 PB - Taylor and Francis SN - 10236198 KW - Weyl-Titchmarsh theory KW - symplectic system KW - M-function KW - Weyl disk KW - Weyl circle KW - limit point case KW - limit circle case KW - square summable solution N2 - In this paper we develop the Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on the spectral parameter. We generalize and complete several recent results concerning these systems, which have the spectral parameter only in the second equation. Our new theory includes characterizations of the Weyl disks and Weyl circles, their limiting behavior, properties of square summable solutions including the analysis of the exact number of linearly independent square summable solutions, and limit point/circle criteria. Some illustrative examples are also provided. ER -
ŠIMON HILSCHER, Roman and Petr ZEMÁNEK. Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter. \textit{Journal of Difference Equations and Applications}. Taylor and Francis, 2014, vol.~20, No~1, p.~84-117. ISSN~1023-6198. Available from: https://dx.doi.org/10.1080/10236198.2013.813496.
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