In this paper we give an extensive and thorough investigation of the asymptotic behavior at infinity of oscillatory and non-oscillatory solutions of a linear differential equations, depending on the real constants α and β and of the nonzero real constants b and c. The (α,β) plane is divided into sectors by a collection of rays emanating from the point (0,0), and we show that the asymptotic forms change as (α,β) crosses each of these rays.
Asymptotic estimates for a nonstandard second order differential equation
PUCCI, Patrizia;
1994
Abstract
In this paper we give an extensive and thorough investigation of the asymptotic behavior at infinity of oscillatory and non-oscillatory solutions of a linear differential equations, depending on the real constants α and β and of the nonzero real constants b and c. The (α,β) plane is divided into sectors by a collection of rays emanating from the point (0,0), and we show that the asymptotic forms change as (α,β) crosses each of these rays.File in questo prodotto:
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