Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems
We investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2017-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2017/1014250 |
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| Summary: | We investigate in this paper the following second-order multipoint boundary value problem: -(Lφ)(t)=λf(t,φ(t)), 0≤t≤1, φ′0=0, φ1=∑i=1m-2βiφηi. Under some conditions, we obtain global structure of positive solution set of this boundary value problem and the behavior of positive solutions with respect to parameter λ by using global bifurcation method. We also obtain the infinite interval of parameter λ about the existence of positive solution. |
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| ISSN: | 2314-8896 2314-8888 |