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MMN-742

Existence and positivity of solutions for a totally nonlinear neutral periodic differential equation

Abstract

In this paper, we use a modification of Krasnoselskii’s fixed point theorem introduced by Burton (see [6] Theorem 3) to establish new results on the existence and positivity of solutions for the totally nonlinear neutral periodic differential equation of the form ... We invert this equation to construct a sum of a completely continuous map and a large contraction which is suitable for the application of a modification of Krasnoselskii’s theorem.


Vol. 14 (2013), No. 3, pp. 757-768
DOI: https://doi.org/10.18514/MMN.2013.742


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