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POSITIVE SOLUTIONS OF A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH A PARAMETER
Published online by Cambridge University Press: 16 March 2012
Abstract
In this paper, we consider the Neumann boundary value problem with a parameter λ∈(0,∞): By using fixed point theorems in a cone, we obtain some existence, multiplicity and nonexistence results for positive solutions in terms of different values of λ. We also prove an existence and uniqueness theorem and show the continuous dependence of solutions on the parameter λ.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 2 , October 2012 , pp. 244 - 253
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
Footnotes
This work is supported by the NNSF of China (Grant No. 11071042).
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