Akihito Shibuya

Asymptotic Analysis of Positive Solutions of Second Order Nonlinear Functional Differential Equations

abstract:
This paper is devoted to the asymptotic analysis of positive solutions of a class of second order functional differential equations in the framework of regular variation. It is shown that precise asymptotic behavior of intermediate positive solutions of the equations under consideration can be established by means of Karamata's integration theorem combined with fixed point techniques.

Mathematics Subject Classification: 34K12, 26A12

Key words and phrases: Functional differential equations, positive solutions, asymptotic behavior, regularly varying functions