Existence of solutions for second-order differential equations with discontinuous right-hand side

Existence of solutions for second-order differential equations with discontinuous right-hand side

We consider an ordinary differential equation of second order with constant coefficients and a discontinuous right-hand side. First we use the point mapping method defining first return functions, then we use the phase-plane method. We establish both the existence and non-existence of periodic...

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Bibliographic Details
Main Authors: Alexander M. Kamachkin, Dmitriy K. Potapov, Victoria V. Yevstafyeva
Format: Article
Language:English
Published: Texas State University 2016-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Point mapping method
first return function
phase-plane method
periodic solution
stability
variational method
semiregular solution
Online Access:http://ejde.math.txstate.edu/Volumes/2016/124/abstr.html

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