Reciprocity principle for even-order dynamic equations with mixed derivatives

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Authors	DOŠLÝ Ondřej
Year of publication	2007
Type	Article in Periodical
Magazine / Source	Dynam. Systems Appl.
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Keywords	Dynamic equations with mixed derivatives; reciprocity principle; symplectic dynamic system.
Description	We establish the equivalence of oscillatory behavior of a certain pair of even-order time scale dynamic equations with mixed derivatives. For the special time scales as reals or integers, this statement is usually referred to as the reciprocity principle.
Related projects:	Difference Equations and Dynamic Equations on Time Scales. Mathematical structures and their physical applications