Electronic Journal of Differential Equations,
Vol. 2003(2003), No. 47, pp. 1-25.
Title: Oscillation for equations with positive and negative coefficients
and distributed delay II: Applications
Authors: Leonid Berezansky (Ben-Gurion Univ. of the Negev, Israel)
Elena Braverman (Univ. of Calgary, Canada)
Abstract:
We apply the results of our previous paper "Oscillation of equations
with positive and negative coefficients and distributed delay I:
General results" to the study of oscillation properties of equations
with several delays and positive and negative coefficients
$$
\dot{x}(t) + \sum_{k=1}^n a_k(t) x(h_k(t)) -
\sum_{l=1}^m b_l(t) x(g_l(t)) = 0, \quad a_k(t) \geq 0, b_l(t) \geq 0,
$$
integrodifferential equations with oscillating kernels
and mixed equations combining two above equations.
Comparison theorems, explicit non-oscillation and oscillation results
are presented.
Submitted February 14, 2003. Published April 24, 2003.
Math Subject Classifications: 34K11, 34K15.
Key Words: Oscillation; non-oscillation; distributed delay;
equations with several delays; integrodifferential equations.