کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501783 | 1338787 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Half-linear equations and characteristic properties of the principal solution
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Half-linear equations and characteristic properties of the principal solution Half-linear equations and characteristic properties of the principal solution](/preview/png/9501783.png)
چکیده انگلیسی
The characteristic properties of the principal solution for half-linear differential equation(a(t)Φ(xâ²))â²+b(t)Φ(x)=0,where the functions a,b are positive and continuous for t⩾0 and Φ(u)=|u|pâ2u, p>1, are investigated. In the linear case it is well-known that the principal solution is the “smallest one” in a neighbourhood of infinity; we show that this property continues to hold in the half-linear case. In addition, it is proved that the principal solutions can be fully characterized by means of two different integral criteria, which reduce to that one well known in the linear case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 494-507
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 494-507
نویسندگان
Mariella Cecchi, Zuzana DoÅ¡lá, Mauro Marini,