Solution to second-order differential equations with discontinuous right-hand side
We consider an ordinary differential equation of second order with discontinuous nonlinearity relative to the phase variable. Phase trajectories are studied. We establish a theorem on the existence of a continuum set for nontrivial solutions and the theorem on the boundedness of solutions.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/221/abstr.html |
| Summary: | We consider an ordinary differential equation of second order with
discontinuous nonlinearity relative to the phase variable.
Phase trajectories are studied. We establish a theorem on the existence
of a continuum set for nontrivial solutions and the theorem on the
boundedness of solutions. |
|---|---|
| ISSN: | 1072-6691 |