کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617963 | 1339395 | 2012 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions A continuation lemma and its applications to periodic solutions of Rayleigh differential equations with subquadratic potential conditions](/preview/png/4617963.png)
چکیده انگلیسی
In this paper, we study the existence of periodic solutions of Rayleigh equationsx″+f(t,x′)+g(x)=e(t),x″+f(t,x′)+g(x)=e(t), where f, g, e are continuous functions and f is T-periodic with the first variable, e is T-periodic. By developing a continuation lemma for Rayleigh equations, we prove that the given equation has at least one T -periodic solution provided that f(t,y)f(t,y) is sublinear with respect to the variable y and G(x)(=∫0xg(u)du) satisfies some subquadratic conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 385, Issue 2, 15 January 2012, Pages 1107–1118
Journal: Journal of Mathematical Analysis and Applications - Volume 385, Issue 2, 15 January 2012, Pages 1107–1118
نویسندگان
Tiantian Ma, Zaihong Wang,