کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4620649 1339467 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Blow-up rate of the unique solution for a class of one-dimensional problems on the half-line
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Blow-up rate of the unique solution for a class of one-dimensional problems on the half-line
چکیده انگلیسی

For more general nonlinear term g  , the paper shows the exact blow-up rate of the unique solution ψ(t)ψ(t) to the singular boundary value problemu″(t)=b(t)g(u(t)),u(t)>0,t>0,u(0)=∞,u(∞)=0, where b∈C1(0,∞)b∈C1(0,∞), which is positive and non-decreasing on (0,∞)(0,∞) (may vanish at zero). Our results are obtained in a more general setting to those in [S. Cano-Casanova, J. López-Gómez, Existence, uniqueness and blow-up rate of large solutions for a canonical class of one-dimensional problems on the half-line, J. Differential Equations 244 (12) (2008) 3180–3203], where g(u)≅upg(u)≅up (p>1p>1) for sufficiently large u.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 348, Issue 2, 15 December 2008, Pages 797–805
نویسندگان
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