Involve: A Journal of Mathematics

  • Involve
  • Volume 9, Number 2 (2016), 281-292.

Harnack's inequality for second order linear ordinary differential inequalities

Ahmed Mohammed and Hannah Turner

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We prove a Harnack-type inequality for nonnegative solutions of second order ordinary differential inequalities. Maximum principles are the main tools used, and to make the paper self-contained, we provide alternative proofs to those available in the literature.

Article information

Involve, Volume 9, Number 2 (2016), 281-292.

Received: 28 October 2014
Revised: 26 February 2015
Accepted: 4 March 2015
First available in Project Euclid: 22 November 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 34C11: Growth, boundedness

Harnack's inequality maximum principles ordinary differential inequalities


Mohammed, Ahmed; Turner, Hannah. Harnack's inequality for second order linear ordinary differential inequalities. Involve 9 (2016), no. 2, 281--292. doi:10.2140/involve.2016.9.281.

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