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Existence of
oscillatory solutions and asymptotic behavior for a class of
third order linear differential equations
Lynn Harry Erbe |
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Vol. 64 (1976), No. 2, 369–385
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Abstract |
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Criteria are obtained for the existence of oscillatory solutions to the third order differential equation y′′′ + p(t)y′′ + q(t)y′ + r(t)y = 0. The asymptotic behavior of nonoscillatory solutions is also discussed, under the assumption that the equation has oscillatory solutions. Of primary concern are the cases when p(t) does not change sign and q(t) ≦ 0, r(t) > 0, for which fewer criteria exist. |
Mathematical Subject Classification 2000
Primary: 34C10
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Milestones
Received: 11 November 1975
Published: 1 June 1976
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Authors |
| Lynn Harry Erbe | |
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