Geodesic
The Stability of Solutions of Generalized Emden-Fowler Equations
Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 397-401

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DOI

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 * 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) | = ∞.
DOI : 10.4153/CMB-1974-073-x
Mots-clés : 34C10, 34D99, Emden-Fowler equation, oscillation, monotonicity, stability, convexity 
The Stability of Solutions of Generalized Emden-Fowler Equations. Canadian mathematical bulletin, Tome 17 (1974) no. 3, pp. 397-401. doi: 10.4153/CMB-1974-073-x
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     journal = {Canadian mathematical bulletin},
     pages = {397--401},
     year = {1974},
     volume = {17},
     number = {3},
     doi = {10.4153/CMB-1974-073-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-073-x/}
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