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- Title
EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR THIRD-ORDER BOUNDARY-VALUE PROBLEM ON THE HALF-LINE WITH DEPENDENCE ON THE FIRST ORDER DERIVATIVE.
- Authors
SIHUA LIANG; JIHUI ZHANG
- Abstract
By using fixed-point theorem for operators on a cone, sufficient conditions for the existence of multiple positive solutions for a third-order boundary-value problem on the half-line are established. In the case of the p-Laplace operator our results for p > 1 generalize previous known results. The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative u'.
- Subjects
INTEGRAL theorems; BOUNDARY value problems; LAPLACE transformation; NONLINEAR statistical models; MATHEMATICS; EQUATIONS
- Publication
Electronic Journal of Differential Equations, 2009, Vol 2009, p1
- ISSN
1550-6150
- Publication type
Article