کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623432 1339516 2006 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Positive solutions for 2p-order and 2q-order nonlinear ordinary differential systems
چکیده انگلیسی

In this paper, by using Krasnosel'skii fixed point theorem and under suitable conditions, we present the existence of single and multiple positive solutions to the following systems:{(−1)pu(2p)=λa(t)f(u(t),v(t)),t∈[0,1],(−1)qv(2q)=μb(t)g(u(t),v(t)),t∈[0,1],u(2i)(0)=u(2i)(1)=0,0⩽i⩽p−1,v(2j)(0)=v(2j)(1)=0,0⩽j⩽q−1, where λ>0λ>0, μ>0μ>0, p,q∈Np,q∈N. We derive two explicit intervals of λ and μ such that for any λ and μ in the two intervals respectively, the existence of at least one solution to the systems is guaranteed, and the existence of at least two solutions for λ and μ in appropriate intervals is also discussed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 324, Issue 2, 15 December 2006, Pages 1093–1104
نویسندگان
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