کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
836990 1470396 2017 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence of positive solutions of four-point BVPs for singular generalized Lane-Emden systems on whole line
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence of positive solutions of four-point BVPs for singular generalized Lane-Emden systems on whole line
چکیده انگلیسی
In this paper, we firstly introduce a model of four-point boundary value problem for generalized singular Lane-Emden systems on whole line. By establishing Green's function G(t,s) for problem −(ρ(t)x′(t))′=0,limt→−∞x(t)−kx(ξ)=0,limt→+∞x(t)−lx(η)=0, we prove that G(t,s)≥0 under some assumptions which actually generalize a corresponding result in Liu (2004). We then obtain sufficient conditions to guarantee existence of positive solutions of this kind of models. Finally, three examples are given at the end of the paper to illustrate main theorems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 33, February 2017, Pages 200-225
نویسندگان
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