On oscillatory first order nonlinear neutral differential equations with nonlinear impulses View Full Text


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Article Info

DATE

2018-03-16

AUTHORS

Shyam S. Santra, Arun K. Tripathy

ABSTRACT

In this work, we study the oscillatory behaviour of solutions of a class of first order impulsive neutral delay differential equations of the form (y(t)-p(t)y(t-τ))′+q(t)G(y(t-σ))=0,t≠tk,t≥t0y(tk+)=Ik(y(tk)),k∈Ny(tk+-τ)=Ik(y(tk-τ)),k∈N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} {\left\{ \begin{array}{ll} \bigl (y(t)-p(t)y(t-\tau )\bigr )' + q(t)G\bigl (y(t-\sigma )\bigr )=0,\;t\ne t_k,\;t \ge t_0 \\ y(t^+_k)=I_k\bigl (y(t_k)\bigr ), \;k \in {\mathbb {N}} \\ y(t^+_k-\tau )=I_k\bigl (y(t_k-\tau )\bigr ), \;k \in {\mathbb {N}} \end{array}\right. } \end{aligned}$$\end{document}for different ranges of the neutral coefficient p. Finally, two illustrative examples are included to show the effectiveness and feasibility of the main results. More... »

PAGES

257-270

References to SciGraph publications

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URI

http://scigraph.springernature.com/pub.10.1007/s12190-018-1178-8

DOI

http://dx.doi.org/10.1007/s12190-018-1178-8

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1101556273


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