کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614506 1339292 2016 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and uniqueness of limit cycles for generalized φ-Laplacian Liénard equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Existence and uniqueness of limit cycles for generalized φ-Laplacian Liénard equations
چکیده انگلیسی

The Liénard equation x″+f(x)x′+g(x)=0x″+f(x)x′+g(x)=0 appears as a model in many problems of science and engineering. Since the first half of the 20th century, many papers have appeared providing existence and uniqueness conditions for limit cycles of Liénard equations. In this paper we extend some of these results for the case of the generalized φ  -Laplacian Liénard equation, (φ(x′))′+f(x)ψ(x′)+g(x)=0(φ(x′))′+f(x)ψ(x′)+g(x)=0. This generalization appears when derivations of the equation different from the classical one are considered. In particular, the relativistic van der Pol equation, (x′/1−(x′/c)2)′+μ(x2−1)x′+x=0, has a unique periodic orbit when μ≠0μ≠0.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 439, Issue 2, 15 July 2016, Pages 745–765
نویسندگان
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