Title of article
Existence of solutions for a cantilever beam problem
Author/Authors
Douglas R. Anderson، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
16
From page
958
To page
973
Abstract
We are concerned with the fourth-order nonuniform cantilever beam problem
I (x)W ∇(x) ∇ = f x,W(x) ,
W(a) = W (a) = 0, I (b)W ∇(b) = (I (x)W ∇(x)) |x=b = 0. Under various assumptions on f we
prove the existence of at least one, two, or three positive solutions for this measure chain boundary value
problem using the Green function approach.
© 2005 Elsevier Inc. All rights reserved
Keywords
Fixed points , Measure chains , boundary value problems , Green function
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934930
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