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The Stability of Solutions of Generalized Emden-Fowler Equations

Published online by Cambridge University Press:  20 November 2018

Hugo Teufel Jr
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Abstract

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This paper gives several monotonicity properties of all oscillatory solutions of equations with separable and nonseparable nonlinearities which are more general than the Emden- Fowler equations

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Principally, if x(t) is an oscillatory solution, conditions are given such that; if a(t)↑ ∞ as t → ∞, then x(t) → 0; and, if a(t) ↓ 0 as t → ∞, then lim sup | x(t) | = ∞.

Keywords

34C1034D99Emden-Fowler equationoscillationmonotonicitystabilityconvexity
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 397 - 401
Copyright
Copyright © Canadian Mathematical Society 1974

References

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