کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4632236 1340640 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Solvability of the Φ-Laplacian with nonlocal boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Solvability of the Φ-Laplacian with nonlocal boundary conditions
چکیده انگلیسی
Rather mild sufficient conditions are provided for the existence of positive solutions of a boundary value problem of the form[Φ(x′(t))]′+c(t)(Fx)(t)=0,a.a.t∈(0,1),x(0)-L0(x)=x(1)-L1(x)=0,which unify several cases discussed in the literature. In order to formulate these conditions one needs to know only properties of the homeomorphism Φ:R→R and have information about the level of growth of the response operator F. No metric information concerning the linear operators L0,L1 in the boundary conditions is used, except that they are positive and continuous and such that Lj(1)<1 j∈{0,1}.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 215, Issue 2, 15 September 2009, Pages 514-523
نویسندگان
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