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Publication details
Regularly varying solutions of second order difference equations with arbitrary sign coefficient
Authors | |
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Year of publication | 2010 |
Type | Article in Periodical |
Magazine / Source | Adv. Difference Equ. |
MU Faculty or unit | |
Citation | |
Doi | http://dx.doi.org/10.1155/2010/673761 |
Field | General mathematics |
Keywords | Regularly varying sequence; linear difference equation; nonoscillatory solution |
Description | Necessary and sufficient conditions for regular or slow variation of all positive solutions of a second order linear difference equation with arbitrary sign coefficient are established. Relations with the so-called $\M$-classification are also analyzed and a generalization of the results to the half-linear case completes the paper. |
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