Critical second order operators on time scales

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Authors

HASIL Petr ZEMÁNEK Petr

Year of publication 2011
Type Article in Periodical
Magazine / Source Discrete and Continuous Dynamical Systems
MU Faculty or unit

Faculty of Science

Citation
Web http://aimsciences.org/conferences/2010/proceeding.html
Field General mathematics
Keywords Time scales; second order operator; critical operator; recessive solution; dominant solution; one term operator
Attached files
Description 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.
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