| HASIL, Petr a Petr ZEMÁNEK. Critical second order operators on time scales. Discrete and Continuous Dynamical Systems. Springfield, Missouri: AIMS (American Institute of Mathematical Sciences), 2011, roč. 31, č. 2011, s. 653-659. ISSN 1078-0947. |
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@article{935011,
author = {Hasil, Petr and Zemánek, Petr},
article_location = {Springfield, Missouri},
article_number = {2011},
keywords = {Time scales; second order operator; critical operator; recessive solution; dominant solution; one term operator},
language = {eng},
issn = {1078-0947},
journal = {Discrete and Continuous Dynamical Systems},
title = {Critical second order operators on time scales},
url = {http://aimsciences.org/conferences/2010/proceeding.html},
volume = {31},
year = {2011}
}
TY - JOUR
ID - 935011
AU - Hasil, Petr - Zemánek, Petr
PY - 2011
TI - Critical second order operators on time scales
JF - Discrete and Continuous Dynamical Systems
VL - 31
IS - 2011
SP - 653-659
EP - 653-659
PB - AIMS (American Institute of Mathematical Sciences)
SN - 10780947
KW - Time scales
KW - second order operator
KW - critical operator
KW - recessive solution
KW - dominant solution
KW - one term operator
UR - http://aimsciences.org/conferences/2010/proceeding.html
L2 - http://aimsciences.org/conferences/2010/proceeding.html
N2 - In this paper we introduce the concept of critical operators for dynamic operators of second order. Next, we show that an arbitrarily small (in a certain sense) negative perturbation of a non-negative critical operator leads to an operator which is no longer non-negative.
ER -
HASIL, Petr a Petr ZEMÁNEK. Critical second order operators on time scales. \textit{Discrete and Continuous Dynamical Systems}. Springfield, Missouri: AIMS (American Institute of Mathematical Sciences), 2011, roč.~31, č.~2011, s.~653-659. ISSN~1078-0947.
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