Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient
We consider the existence of positive solutions for the Neumann boundary value problem x′′(t)+m2(t)x(t)=f(t,x(t))+e(t),t∈(0, 1),x′(0)=0,x′(1)=0, where m∈C([0,1],(0,+∞)),e∈C[0,1], and f:[0,1]×(0,+∞)→[0,+∞) is continuous. The theorem obtained is very general and complements previous known results....
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2011/376753 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | We consider the existence of positive solutions for the Neumann boundary value problem x′′(t)+m2(t)x(t)=f(t,x(t))+e(t),t∈(0, 1),x′(0)=0,x′(1)=0, where m∈C([0,1],(0,+∞)),e∈C[0,1], and f:[0,1]×(0,+∞)→[0,+∞) is continuous. The theorem obtained is very general and complements previous known results. |
|---|---|
| ISSN: | 1687-9643 1687-9651 |