Positive solutions and eigenvalues of nonlocal boundary-value problems
We study the ordinary differential equation $x''+lambda a(t)f(x)=0$ with the boundary conditions $x(0)=0$ and $x'(1)=int_{eta}^{1}x'(s)dg(s)$. We characterize values of $lambda$ for which boundary-value problem has a positive solution. Also we find appropriate intervals for $lamb...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2005-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/86/abstr.html |
| Summary: | We study the ordinary differential equation $x''+lambda a(t)f(x)=0$ with the boundary conditions $x(0)=0$ and $x'(1)=int_{eta}^{1}x'(s)dg(s)$. We characterize values of $lambda$ for which boundary-value problem has a positive solution. Also we find appropriate intervals for $lambda$ so that there are two positive solutions. |
|---|---|
| ISSN: | 1072-6691 |