Second-Order Differential Equation: Oscillation Theorems and Applications
2020 ◽
Vol 2020
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pp. 1-6
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Keyword(s):
Differential equations of second order appear in a wide variety of applications in physics, mathematics, and engineering. In this paper, necessary and sufficient conditions are established for oscillations of solutions to second-order half-linear delay differential equations of the form ς y u ′ y a ′ + p y u c ϑ y = 0 , for y ≥ y 0 , under the assumption ∫ ∞ ς η − 1 / a = ∞ . Two cases are considered for a < c and a > c , where a and c are the quotients of two positive odd integers. Two examples are given to show the effectiveness and applicability of the result.
2020 ◽
Vol 75
(1)
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pp. 135-146
2019 ◽
Vol 21
(3)
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2019 ◽
Vol 39
(4)
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pp. 483-495
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2005 ◽
Vol 48
(2)
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pp. 485-498
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