Oscillation for equations with positive and negative coefficients and with distributed delay I: General results

We study a scalar delay differential equation with a bounded distributed delay, $$ dot{x}(t)+ int_{h(t)}^t x(s),d_s R(t,s) - int_{g(t)}^t x(s),d_s T(t,s)=0, $$ where $R(t,s)$, $T(t,s)$ are nonnegative nondecreasing in $s$ for any $t$, $$ R(t,h(t))=T(t,g(t))=0, quad R(t,s) geq T(t,s). $$ We establish...

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Bibliographic Details
Main Authors: Leonid Berezansky, Elena Braverman
Format: Article
Language:English
Published: Texas State University 2003-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/12/abstr.html