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Multiple integral average conditions for oscillation of delay differential equations. (English) Zbl 0912.34061
The author considers delay differential equations of the form $x'(t)= \sum^n_{i=1} g_i(t)x(t- T_i(t))= 0,\tag{1}$ with $$g_i(t)$$, $$T_i(t)\in C([t_0,\infty), [0,\infty))$$, $$t- T(t)\to\infty$$ and $$t- T_i(t)\to +\infty$$ as $$t\to\infty$$, $$i= 1,2,\dots,n$$.
A method based on certain iterative processes is used to obtain some multiple integral average conditions for the oscillation of (1).

##### MSC:
 34K11 Oscillation theory of functional-differential equations 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
##### Keywords:
oscillation; delay differential equations
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##### References:
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