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Oscillatory of Third-Order Neutral Differential Equations with Continuously Distributed Mixed Arguments |
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PP: 1893-1899 |
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doi:10.18576/amis/100531
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Author(s) |
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Nagehan Kılınc Gecer,
Pakize Temtek,
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Abstract |
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| It is the purpose of this paper to give oscillation criteria for the third-order neutral differential equation with continuously
distributed mixed arguments
r(t)
[x(t)+
Z b
a
p(t,m)x[t (t,m)]dm]
′′ g
′
+
Z d
c
q1(t,x ) f (x[f1(t,x )])dx +
Z d
c
q2(t,h)g(x[f2(t,h)])dh = 0,
where g > 0 is a quotient of odd positive integers. By using a generalized Riccati transformation and integral averaging technique, we
establish some new sufficient conditions which ensure that every solution of this equation oscillates or converges to zero. |
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