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	Critical_second_order_operators_on_time_scales__Hasil___Zemanek_.pdf
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.
Related projects:	Oscillation and spectral theory of differential and difference systems Matematické struktury