کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840683 908489 2011 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positive solutions of fourth order problems with clamped beam boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Positive solutions of fourth order problems with clamped beam boundary conditions
چکیده انگلیسی

In this paper we make an exhaustive study of the fourth order linear operator u(4)+Mu coupled with the clamped beam conditions u(0)=u(1)=u′(0)=u′(1)=0u(0)=u(1)=u′(0)=u′(1)=0. We obtain the exact values on the real parameter MM for which this operator satisfies an anti-maximum principle. Such a property is equivalent to the fact that the related Green’s function is nonnegative in [0,1]×[0,1][0,1]×[0,1]. When M<0M<0 we obtain the best estimate by means of the spectral theory and for M>0M>0 we attain the optimal value by studying the oscillation properties of the solutions of the homogeneous equation u(4)+Mu=0.By using the method of lower and upper solutions we deduce the existence of solutions for nonlinear problems coupled with this boundary conditions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 10, July 2011, Pages 3112–3122
نویسندگان
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