کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468997 | 698275 | 2011 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bounded oscillation criteria for certain third order nonlinear difference equations with several delays and advances
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper deals with the third order nonlinear difference equations with several delays and advances equation(∗∗)Δ(anΔ2xn)+f(n,xn,xn−d1n,…,xn−dkn)=0,n≥n0 and equation(∗∗∗∗)Δ(anΔ2xn)+bng(xn,xn−d1n,…,xn−dkn)=0,n≥n0. Sufficient conditions of the existence of uncountably many bounded positive, negative and nonoscillatory solutions, respectively, and necessary and sufficient conditions of the bounded oscillation of (∗∗) and (∗∗∗∗) with certain asymptotic behavior are given. In addition, a sufficient condition of the oscillatory behavior of all bounded solutions of (∗∗) with a special of asymptotic property is also presented. Nine nontrivial examples which dwell upon the importance of the results obtained in this paper are also included.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 1145–1161
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 1145–1161
نویسندگان
Zeqing Liu, Yuguang Xu, Shin Min Kang,