A Note on Asymptotic Integration of Second Order Nonlinear Differential Equations
نویسندگان
چکیده
The paper is concerned with the asymptotic behavior of solutions to a second order nonlinear differential equation u′′ + f (t, u) = 0. Using the Banach contraction principle, we establish global existence of solutions which satisfy u(t) = At + o(tν) as t→ +∞, where A ∈ R and ν ∈ (0, 1].
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تاریخ انتشار 2007