Rofe-Beketov's formula on time scales

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Authors	DOŠLÝ Ondřej
Year of publication	2010
Type	Article in Periodical
Magazine / Source	Comput. Math. Appl.
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.sciencedirect.com/science/journal/08981221
Field	General mathematics
Keywords	Rofe-Beketov's formula; time scale; linearly independent solution
Description	We establish the Rofe-Beketov formula for second order Sturm-Liouville dynamic equation on time scales. This formula shows how to express second linearly independent solution of this equation if one solution is known. In contrast to the D'Alembert formula (sometimes also called the reduction of order formula), no restriction on the oscillatory behavior of the known solution is needed.
Related projects:	Mathematical structures and their physical applications Diferenční rovnice a dynamické rovnice na time scales III