OSCILLATION OF UNFORCED IMPULSIVE NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF FIRST ORDER

TitleOSCILLATION OF UNFORCED IMPULSIVE NEUTRAL DELAY DIFFERENTIAL EQUATIONS OF FIRST ORDER
Publication TypeJournal Article
Year of Publication2018
AuthorsSANTRA, SHYAMS, TRIPATHY, ARUNK
Secondary TitleCommunications in Applied Analysis
Volume22
Issue4
Start Page567
Pagination16
Date Published09/2018
ISSN1083-2564
AMS34K
Abstract

In this work, we study the oscillatory behavior of solutions of a class of first order impulsive neutral delay differential equations of the form
$$ (y(t)-p(t)y(t-\tau))' + q(t)G(y(t-\sigma))=0,\quad t\neq t_k,\;t \geq t_0 $$
$$ \Delta y(t_k)=y(t^+_k)-y(t_k)=b_ky(t_k), \quad k=1,2,3, $$
$$ \Delta y(t_k-\tau)=y(t^+_k-\tau)-y(t_k-\tau)=b_ky(t_k-\tau),\quad k=1,2,3,\cdots $$
for all $p(t)$ with $|p(t)|<\infty$.
URLhttps://acadsol.eu/en/articles/22/4/5.pdf
DOI10.12732/caa.v22i4.5
Refereed DesignationRefereed
Full Text

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