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Exact Bounds on the Zeros of Solutions of Second–Order Differential Inequalities

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Part of the book series: Springer Optimization and Its Applications ((SOIA,volume 151))

Abstract

Exact upper bounds on the zeros of solutions of a certain class of second-order differential inequalities are obtained.

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References

  1. M.E. Muldoon, Convexity properties of special functions and their zeros, in Recent Progress in Inequalities (Niš, 1996). Mathematics and Its Applications, vol. 430 (Kluwer Academic Publications, Dordrecht, 1998), pp. 309–323

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  2. M. Petrovitch, Sur une manière d’étendre le thèorème de la moyenne aux équations différentielles du premier ordre. Math. Ann. 54, 417–436 (1904)

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  3. H. Riely, A modification of the Chang–Wilson–Wolff inequality via the Bellman function. https://arxiv.org/abs/1805.10510 (2018)

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Correspondence to Iosif Pinelis .

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Pinelis, I. (2019). Exact Bounds on the Zeros of Solutions of Second–Order Differential Inequalities. In: Andrica, D., Rassias, T. (eds) Differential and Integral Inequalities. Springer Optimization and Its Applications, vol 151. Springer, Cham. https://doi.org/10.1007/978-3-030-27407-8_26

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