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.

Bibliographic Details
Main Authors: Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva
Format: Article
Language:English
Published: Texas State University 2014-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2014/221/abstr.html