Positive solutions for some 1-dimensional boundary value problems of Laplace-type
β Scribed by Zhanbing Bai; Xiangqian Liang; Weiming Li
- Book ID
- 107500759
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2007
- Tongue
- English
- Weight
- 133 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1005-1031
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π SIMILAR VOLUMES
In this paper, a new fixed-point theorem of functional type in a cone is established. With using the new fixed-point theorem and imposing growth conditions on the nonlinearity, the existence of three positive solutions for the boundary value problem x"(O+f(t,x(t),x'(t))=O , 0<t<l, x(0) = x(1) = 0,
In this paper we study the existence of multiple positive solutions for the equation (g(u )) + e(t)f(u) = 0, where g(v) := |v| p-2 v; p ΒΏ 1, subject to nonlinear boundary conditions. We show the existence of at least two positive solutions by using a new three functionals ΓΏxed point theorem in cones