The existence of three positive solutions for some nonlinear boundary value problems on the half-line
β Scribed by Sihua Liang; Jihui Zhang
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 242 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1385-1292
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π SIMILAR VOLUMES
In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line where Ο : R β R is the increasing homeomorphism and positive homomorphism an
We study the existence of positive solutions of boundary value problems on the half-line for differential equations of second order. The Krasnoselskii fixed point theorem on cone compression and expansion is used.
In this paper, we consider the boundary value problem on the half-line where k : [0, β) β (0, β) and f : [0, β) Γ [0, β) β R are continuous. We show the existence of positive solutions by using a fixed point theorem in cones.
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,