کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471714 | 698659 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Oscillation of equations with an infinite distributed delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Oscillation of equations with an infinite distributed delay Oscillation of equations with an infinite distributed delay](/preview/png/471714.png)
چکیده انگلیسی
For the equation with a finite or infinite distributed delay ẋ(t)+∫−∞tx(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 constructed where oscillation properties of an integrodifferential equation are compared to equations with several concentrated delay which can be treated as its finite difference approximations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 60, Issue 9, November 2010, Pages 2583–2593
Journal: Computers & Mathematics with Applications - Volume 60, Issue 9, November 2010, Pages 2583–2593
نویسندگان
Leonid Berezansky, Elena Braverman,