Oscillation of equations with an infinite distributed delay
نویسندگان
چکیده
−∞ x(s) dsR(t, s) = 0 the existence of nonoscillatory solutions is studied. A general comparison theorem is obtained which allows to compare oscillation properties of equations with concentrated delays to integrodifferential equations. Sharp nonoscillation conditions are deduced for some autonomous integrodifferential equations. Using comparison theorems, an example is constructedwhere oscillation properties of an integrodifferential equation are compared to equations with several concentrated delay which can be treated as its finite difference approximations. © 2010 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Mathematics with Applications
دوره 60 شماره
صفحات -
تاریخ انتشار 2010