کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844174 908578 2008 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Eigenvalues of fourth-order singular Sturm–Liouville boundary value problems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Eigenvalues of fourth-order singular Sturm–Liouville boundary value problems
چکیده انگلیسی

In this paper, by establishing a new comparison theorem and constructing upper and lower solutions, some sufficient conditions of existence of positive solutions for the following nonlinear fourth-order singular Sturm–Liouville eigenvalue problem: {1p(t)(p(t)u‴(t))′=λf(t,u),t∈(0,1),u(0)=u(1)=0,αu″(0)−βlimt→0+p(t)u‴(t)=0,γu″(1)+δlimt→1−p(t)u‴(t)=0, are established due to the Schauder’s fixed point theorem for λλ large enough, where α,β,γ,δ≥0,βγ+αγ+αδ>0,f and pp can be singular at t=0t=0 and/or 1; moreover ff can also be singular at u=0u=0. In addition, some peculiar cases are discussed and some further results are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 68, Issue 2, 15 January 2008, Pages 384–392
نویسندگان
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