Necessary and Sufficient Conditions for Oscillation of Second-Order Delay Differential Equations
2020 ◽
Vol 75
(1)
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pp. 135-146
Keyword(s):
AbstractIn this work, we obtain necessary and sufficient conditions for the oscillation of all solutions of second-order half-linear delay differential equation of the form {\left( {r{{\left( {x'} \right)}^\gamma }} \right)^\prime }\left( t \right) + q\left( t \right){x^\alpha }\left( {\tau \left( t \right)} \right) = 0Under the assumption ∫∞(r(n))−1/γdη=∞, we consider the two cases when γ > α and γ < α. Further, some illustrative examples showing applicability of the new results are included, and state an open problem.
2019 ◽
Vol 21
(3)
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2020 ◽
Vol 2020
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pp. 1-6
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1986 ◽
Vol 34
(1)
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pp. 1-9
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1994 ◽
Vol 49
(1)
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pp. 69-79
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2019 ◽
Vol 39
(4)
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pp. 483-495
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1998 ◽
Vol 21
(3)
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pp. 493-497
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