Asymptotically linear solutions of differential equations via Lyapunov functions

Details Asymptotically linear solutions of differential equations via Lyapunov functions Asymptotically linear solutions of differential equations via Lyapunov functions

2009-04-08

arxiv.org/abs/0904.1393v2

Applied Mathematics and Computation 215 (2009), 3076-3081

Mathematics

Classical Analysis and ODEs

Scientific paper

We discuss the existence of solutions with oblique asymptotes to a class of
second order nonlinear ordinary differential equations by means of Lyapunov
functions. The approach is new in this field and allows for simpler proofs of
general results regarding Emden-Fowler like equations.

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