کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8899484 1631546 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
New criteria for the monotonicity of the ratio of two Abelian integrals
ترجمه فارسی عنوان
معیارهای جدید برای یکنواختی نسبت دو انتگرال آبلی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
New criteria to determine the monotonicity of the ratio of two Abelian integrals are given. When two Abelian integrals have the forms ∫Γhf1(x)ydx and ∫Γhf2(x)ydx or the forms ∫Γhf1(x)ydx and ∫Γhf2(x)ydx and Γh are ovals belonging to the level set {(x,y)|H(x,y)=h}, where H(x,y) has the form y2/2+Ψ(x) or ϕ(x)y2/2+Ψ(x), we give new criteria, which are defined directly by the functions which appear in the above Abelian integrals, and prove that the monotonicity of the criteria implies the monotonicity of the ratios of the Abelian integrals. The new criteria are applicable in a large class of problems, some of which simplify the existing proofs and some of which generalize known results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 220-234
نویسندگان
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