Oscillatory and nonoscillatory behavior of a second order functional differential equation
M Cecchi, M Marini - The Rocky Mountain Journal of Mathematics, 1992 - JSTOR
M Cecchi, M Marini
The Rocky Mountain Journal of Mathematics, 1992•JSTORH3) g:[to,+ 00)-► R is positive continuously differentiable such that g'(t)> 0 and g (t)-►+ 00
as t-►+ 00; H4) h: RR is continuously differentiable and h (u)> 0 for u^ 0; H5)/: R-» R is
continuously differentiable such that uf (u)> 0 for u 0 and df (u)/du> 0. Throughout by a
solution of (Ii)[(I2)] we shall mean a twice contin-uously differentiable function which exists
on some half-line [tx,-foo), satisfies (Ii)[(I2)] and does not eventually vanish. For results
concerning the continuability we refer the reader to [3, 11, 12, 14, 20] and
as t-►+ 00; H4) h: RR is continuously differentiable and h (u)> 0 for u^ 0; H5)/: R-» R is
continuously differentiable such that uf (u)> 0 for u 0 and df (u)/du> 0. Throughout by a
solution of (Ii)[(I2)] we shall mean a twice contin-uously differentiable function which exists
on some half-line [tx,-foo), satisfies (Ii)[(I2)] and does not eventually vanish. For results
concerning the continuability we refer the reader to [3, 11, 12, 14, 20] and
H3) g:[to,+ 00)-► R is positive continuously differentiable such that g'(t)> 0 and g (t)-►+ 00 as t-►+ 00; H4) h: RR is continuously differentiable and h (u)> 0 for u^ 0; H5)/: R-» R is continuously differentiable such that uf (u)> 0 for u 0 and df (u)/du> 0.
Throughout by a solution of (Ii)[(I2)] we shall mean a twice contin-uously differentiable function which exists on some half-line [tx,-foo), satisfies (Ii)[(I2)] and does not eventually vanish. For results concerning the continuability we refer the reader to [3, 11, 12, 14, 20] and
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