On second order periodic boundary-value problems with upper and lower solutions in the reversed order
In this paper, we study the differential equation with the periodic boundary value $$displaylines{ u''(t)=f(t, u(t), u'(t)),quad tin [0, 2pi]cr u(0)=u(2pi), quad u'(0)=u'(2pi). }$$ The existence of solutions to the periodic boundary problem above with appropriate conditions...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-02-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/25/abstr.html |
| Summary: | In this paper, we study the differential equation with the periodic boundary value $$displaylines{ u''(t)=f(t, u(t), u'(t)),quad tin [0, 2pi]cr u(0)=u(2pi), quad u'(0)=u'(2pi). }$$ The existence of solutions to the periodic boundary problem above with appropriate conditions is proved by using an upper and lower solution method. |
|---|---|
| ISSN: | 1072-6691 |