کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6419383 1339394 2012 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotics for higher order differential equations with a middle term
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotics for higher order differential equations with a middle term
چکیده انگلیسی

We study the higher order differential equations with a middle term(⁎)x(n)(t)+q(t)x(n−2)(t)+r(t)f(x(t))=0,n⩾3, as a perturbation of the linear equation(⁎⁎)y(n)(t)+q(t)y(n−2)=0. Using an iterative method, we show that for every solution y of (⁎⁎), there exists a solution x of (⁎) such that x(i)−y(i) (i=0,…,n−1) have bounded variation in a neighborhood of infinity and tend to zero. The existence of monotone solutions and bounded solutions for (⁎) is also examined. The cases n=3,4 are considered in detail and there are given conditions for the existence of bounded oscillatory solutions of (⁎) with an analogous asymptotic behavior to corresponding oscillatory solutions of (⁎⁎). Our results are new also in the linear case.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 388, Issue 2, 15 April 2012, Pages 1130-1140
نویسندگان
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