کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4618342 | 1339404 | 2011 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Interval oscillation criteria for second-order forced impulsive differential equations with mixed nonlinearities
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Interval oscillation criteria for second-order forced impulsive differential equations with mixed nonlinearities Interval oscillation criteria for second-order forced impulsive differential equations with mixed nonlinearities](/preview/png/4618342.png)
چکیده انگلیسی
In this paper, by arithmetic-geometric mean inequality and Riccati transformation, interval oscillation criteria are established for second-order forced impulsive differential equation with mixed nonlinearities of the form{(r(t)Φα(xâ²(t)))â²+p0(t)Φα(x(t))+âi=1npi(t)Φβi(x(t))=e(t),tâ Ïk,x(Ïk+)=akx(Ïk),xâ²(Ïk+)=bkxâ²(Ïk), where t⩾t0, kâN; Φâ(u)=|u|ââ1u; {Ïk} is the impulse moments sequence with 0⩽t0=Ï0<Ï1<Ï2<â¯<Ïk<⯠and limkââÏk=â; α=p/q, p, q are odds, and the exponents satisfyβ1>â¯>βm>α>βm+1>â¯>βn>0. Some known results are generalized and improved. Examples are also given to illustrate the effectiveness and non-emptiness of our results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 381, Issue 1, 1 September 2011, Pages 187-201
Journal: Journal of Mathematical Analysis and Applications - Volume 381, Issue 1, 1 September 2011, Pages 187-201
نویسندگان
Zhonghai Guo, Xiaoliang Zhou, Weigao Ge,