Abstract
Consider the Emden-Fowler equation (E) : y″ + a(x)|y|γ-1y = 0, where γ > 0 and a(x) is a positive continuous function on (0, ∞). I. T. Kiguradze showed in 1962 that if x(γ+3)/2+δa(x) is nonincreasing for any δ > 0, then equation (E) is nonoscillatory when γ > 1. We prove in this paper that the same theorem remains valid in the sublinear case, i.e., equation (E) when 0 < γ < 1.
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.
