Sharp explicit oscillation conditions for difference equations with several delays
Keyword(s):
Abstract We consider explicit sufficient conditions for all solutions of a first-order linear difference equation with several variable delays and non-negative coefficients to be oscillatory. The conditions have the form of inequalities bounding below the upper and lower limits of the sums of coefficients over a subset of the discrete semiaxis. Our main results are oscillation tests based on a new principle for composing the estimated sums of coefficients. We also give some results in the form of examples, including a counterexample to a wrong oscillation test cited in several recent papers.
2018 ◽
Vol 2018
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pp. 1-13
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2019 ◽
Vol 8
(11)
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pp. 3467-3469
2019 ◽
Vol 6
(1)
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pp. 57-64
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2020 ◽
Vol 5
(4)
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pp. 663-681
2006 ◽
Vol 2006
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pp. 1-7
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