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@article{902648,
author = {Clark, Stephen L and Zemánek, Petr},
article_location = {Spojené státy americké},
article_number = {7},
keywords = {Discrete symplectic system; Weyl-Titchmarsh M-function; Regular spectral problem; Singular spectral problem; Riccati equation; Limit point case; Limit circle case; Green's function.},
language = {eng},
issn = {0096-3003},
journal = {Applied Mathematics and Computation},
title = {On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line},
url = {http://dx.doi.org/10.1016/j.amc.2010.08.029},
volume = {217},
year = {2010}
}
TY - JOUR
ID - 902648
AU - Clark, Stephen L - Zemánek, Petr
PY - 2010
TI - On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line
JF - Applied Mathematics and Computation
VL - 217
IS - 7
SP - 2952-2976
EP - 2952-2976
PB - Elsevier
SN - 00963003
KW - Discrete symplectic system
KW - Weyl-Titchmarsh M-function
KW - Regular spectral problem
KW - Singular spectral problem
KW - Riccati equation
KW - Limit point case
KW - Limit circle case
KW - Green's function.
UR - http://dx.doi.org/10.1016/j.amc.2010.08.029
N2 - Recently, Bohner and Sun introduced basic elements of a Weyl-Titchmarsh theory into the study of discrete symplectic systems. We extend this development through the introduction of Weyl-Titchmarsh functions together with a preliminary study of their properties. A limit point criterion is described and characterized. Green's function for the half-line is introduced as a limit of such functions in the regular case and half-line solutions obtained are seen to satisfy lambda-dependent boundary conditions at infinity.
ER -
CLARK, Stephen L and Petr ZEMÁNEK. On a Weyl-Titchmarsh theory for discrete symplectic systems on a half line. \textit{Applied Mathematics and Computation}. Spojené státy americké: Elsevier, 2010, vol.~217, No~7, p.~2952-2976. ISSN~0096-3003.
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