On positivity of the three term 2n-order difference operators

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Authors

HASIL Petr

Year of publication 2009
Type Article in Periodical
Magazine / Source Studies of the University of Žilina, Mathematical Series
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords difference equations; positive solutions; matrix operator
Description It is shown that the symmetric, three term, 2n-order difference equation possesses a positive solution if and only if the infinite matrix associated with this equation is nonnegative definite.
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