Nonlinear Singular BVP of Limit Circle Type and the Presence of Reverse-Ordered Upper and Lower Solutions
We consider the following class of nonlinear singular differential equation −(𝑝(𝑥)𝑦′(𝑥))′+𝑞(𝑥)𝑓(𝑥,𝑦(𝑥),𝑝(𝑥)𝑦′(𝑥))=0,0<𝑥<1 subject to the Neumann boundary condition 𝑦′(0)=𝑦′(1)=0. Conditions on 𝑝(𝑥) and 𝑞(𝑥) ensure that 𝑥=0 is a singular point of limit circle type. A simple approximation scheme...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/986948 |
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