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.
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