کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
839702 | 1470487 | 2015 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Oscillation constants for second-order ordinary differential equations related to elliptic equations with pp-Laplacian
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Oscillation constants for second-order ordinary differential equations related to elliptic equations with pp-Laplacian Oscillation constants for second-order ordinary differential equations related to elliptic equations with pp-Laplacian](/preview/png/839702.png)
چکیده انگلیسی
In this paper we consider the second-order nonlinear differential equation equation(∗∗)(tα−1Φ(x′))′+tα−1−pf(x)=0,Φ(x)=|x|p−2x,p>1,α∈R, with ff satisfying xf(x)>0xf(x)>0, x≠0x≠0. We analyze the difference between the cases α
pα>p, and α=pα=p. In each case we give a condition on the function ff which guarantees that solutions of Eq. (∗∗) are (non)oscillatory. The principal methods used in this paper are the Riccati technique and its modifications. The results of our paper complement and extend several previously obtained results on the subject.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 113, January 2015, Pages 115–136
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 113, January 2015, Pages 115–136
نویسندگان
Ondřej Došlý, Naoto Yamaoka,