کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4611883 1338643 2012 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Pairs of positive periodic solutions of second order nonlinear equations with indefinite weight
چکیده انگلیسی

We study the problem of the existence and multiplicity of positive periodic solutions to the scalar ODEu″+λa(t)g(u)=0,λ>0, where g(x)g(x) is a positive function on R+R+, superlinear at zero and sublinear at infinity, and a(t)a(t) is a T  -periodic and sign indefinite weight with negative mean value. We first show the nonexistence of solutions for some classes of nonlinearities g(x)g(x) when λ is small. Then, using critical point theory, we prove the existence of at least two positive T-periodic solutions for λ large. Some examples are also provided.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 252, Issue 3, 1 February 2012, Pages 2900–2921
نویسندگان
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