کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634853 1340701 2007 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A generalized retarded Gronwall-like inequality in two variables and applications to BVP
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A generalized retarded Gronwall-like inequality in two variables and applications to BVP
چکیده انگلیسی

In this paper, we establish a generalized retarded integral inequality of Gronwall-like type in two variables, which includes both a nonconstant term outside the integrals and more than one distinct nonlinear integrals without assumption of monotonicity. Using our result we can solve both the integral inequality in [W.S. Cheung, Some new nonlinear inequalities and applications to boundary value problems, Nonlinear Anal. 64 (2006) 2112–2128] and the one in [R.P. Agarwal, S. Deng, W. Zhang, Generalization of a retarded Gronwall-like inequality and its applications, Appl. Math. Comput. 165 (2005) 599–612]. We apply our result to a boundary value problem of a partial differential equation for boundedness, uniqueness and continuous dependence.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 191, Issue 1, 1 August 2007, Pages 144–154
نویسندگان
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