4.7 Article

Positive periodic solution to superlinear neutral differential equation with time-dependent parameter

Journal

APPLIED MATHEMATICS LETTERS
Volume 98, Issue -, Pages 271-277

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.06.024

Keywords

Fixed point theorem of Leray-Schauder type; Neutral operator; Positive periodic solution; Time-dependent parameter; Superlinear

Funding

  1. National Natural Science Foundation of China [11501170]
  2. China Postdoctoral Science Foundation [2016M590886]
  3. Fundamental Research Funds for the Universities of Henan Province [NSFRF170302]

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In this paper, we prove the existence of a positive omega-periodic solution for second-order neutral differential equation with sub-linearity, semi-linearity and super-linearity conditions by application of a fixed point theorem of Leray-Schauder type. At last, we present an example to illustrate our results. (C) 2019 Published by Elsevier Ltd.

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