Affiliation:
1. University of Niš, Faculty of Science and Mathematics, Department of Mathematics, Niš, Serbia
Abstract
Positive decreasing solutions of the nonlinear difference equation
?(pn|?xn|?-1?xn)=qn|xn+1|?-1xn+1, n ? 1, ? > ? > 0, are studied under
the assumption that p; q are regularly varying sequences. Necessary and
sufficient conditions are established for the existence of regularly varying
strongly decreasing solutions and it is shown that the asymptotic behavior
of all such solutions is governed by a unique formula.
Funder
Ministry of Education, Science and Technological Development of the Republic of Serbia
Publisher
National Library of Serbia
Cited by
1 articles.
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