کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613652 1338772 2006 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. Part II
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Borel summability of divergent solutions for singular first-order partial differential equations with variable coefficients. Part II
چکیده انگلیسی

Under a certain restriction, singular first-order linear partial differential equations of nilpotent type with two variables are divided into two classes. In the previous paper Part I, we dealt with the one class, and comprehended that there was a close affinity between the Borel summability of divergent solutions and global analytic continuation properties for coefficients. In this Part II, we give a similar consideration on the other class. More precise global estimates than those given in Part I for coefficients will be required to prove the Borel summability of divergent solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 227, Issue 2, 15 August 2006, Pages 534-563