COMPARISON THEOREMS AND OSCILLATION CRITERIA FOR DIFFERENCE EQUATIONS WITH SEVERAL DELAYS |
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| Authors: | Zeng Xiaoyun Shi Bao Zhang Decun |
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| Abstract: | In this paper, we first establish the equivalence of the oscillation of the difference equations with several delays of the form:and the second-order difference equations without delay of the form:where {pj(n)} is a sequence of nonnegative real numbers and {ki}i=1m is a set of positive integers. Then we get some "sharp" conditions for oscillation and non-oscillation of the first equation. |
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| Keywords: | oscillation non-oscillation difference equations equivalence |
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