کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10427007 908626 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Existence, multiplicity and infinite solvability of positive solutions to a nonlinear fourth-order periodic boundary value problem
چکیده انگلیسی
The existence of n and infinitely many positive solutions is proved for the nonlinear fourth-order periodic boundary value problemu(4)(t)-βu′′(t)+αu(t)=f(t,u(t)),0⩽t⩽1,u(i)(0)=u(i)(1),i=0,1,2,3,where n is an arbitrary natural number and β>-2π2,0<α<(12β+2π2)2,α/π4+β/π2+1>0. This kind of fourth-order boundary value problems usually describes the equilibrium state of an elastic beam with periodic boundary condition. The main results show that the problem may have n or infinitely many positive solutions provided the growth rates of nonlinear term f(t,l) are appropriate on some bounded subsets of its domain.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 63, Issue 2, 15 October 2005, Pages 237-246
نویسندگان
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