Abstract
The aim of this paper is to show that if the sublinear Emden–Fowler differential equation (A) x ″ ( t ) + q ( t ) | x ( t ) | γ sgn x ( t ) = 0 , 0 < γ < 1 , with regularly varying coefficient q( t) is studied in the framework of regular variation, not only necessary and sufficient conditions for the existence of nontrivial regularly varying solutions of (A) can be established, but also precise information can be acquired about the asymptotic behavior at infinity of these solutions.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
