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Existence of positive solutions of second-order delayed differential system on infinite interval
  • +1
  • Ran Ding,
  • Fanglei Wang,
  • Nannan Yang,
  • Yuanfang RU
Ran Ding
Hohai University
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Fanglei Wang
College of Science, Hohai University
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Nannan Yang
Hohai University
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Yuanfang RU
China Pharmaceutical University
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Abstract

The present paper is focused on the analysis on the existence of positive solutions of a second order differential system with two delays

\begin{equation} \left\{\begin{array}{lcr}x_{1}^{\prime\prime}(t)-a_{1}(t)x_{1}(t)+m_{1}(t)f_{1}(t,x(t),x_{\tau}(t))=0,\ \ t>0,\\ x_{2}^{\prime\prime}(t)-a_{2}(t)x_{2}(t)+m_{2}(t)f_{2}(t,x(t),x_{\tau}(t))=0,\ \ t>0,\\ x_{1}(t)=0,\ \ -\tau_{1}\ \leq t\leq 0,\;\text{and}\;\lim_{t\rightarrow\infty}x_{1}(t)=0,\\ x_{2}(t)=0,\ \ -\tau_{2}\ \leq t\leq 0,\;\text{and}\;\lim_{t\rightarrow\infty}x_{2}(t)=0\end{array}\right.\nonumber \\ \end{equation}

by using two well-known fixed point theorems.

Peer review status:ACCEPTED

23 Feb 2020Submitted to Mathematical Methods in the Applied Sciences
28 Feb 2020Submission Checks Completed
28 Feb 2020Assigned to Editor
10 Jul 2020Reviewer(s) Assigned
12 Jan 2021Review(s) Completed, Editorial Evaluation Pending
12 Jan 2021Editorial Decision: Revise Minor
15 Jan 20211st Revision Received
15 Jan 2021Submission Checks Completed
15 Jan 2021Assigned to Editor
15 Jan 2021Editorial Decision: Accept