Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 41, Number 2 (2011), 137-152.
Regularly Varying Solutions of Second Order Nonlinear Functional Differential Equations with Retarded Argument
The existence of slowly and regularly varying solutions in the sense of Karamata implying nonoscillation is proved for a class of second order nonlinear retarded functional differential equations of Thomas-Fermi type. A motivation for such study is the extensively developed theory offering a number of properties of regularly and slowly varying functions () - consequently of such solutions of differential equations. As an illustration, the precise asymptotic behaviour for $t\rightarrow \infty$ of the slowly varying solutions for a subclass of considered equations is presented.
Hiroshima Math. J., Volume 41, Number 2 (2011), 137-152.
First available in Project Euclid: 24 August 2011
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Takaŝi, Kusano; Marić, V. Regularly Varying Solutions of Second Order Nonlinear Functional Differential Equations with Retarded Argument. Hiroshima Math. J. 41 (2011), no. 2, 137--152. doi:10.32917/hmj/1314204558. https://projecteuclid.org/euclid.hmj/1314204558