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We consider the second-order discontinuous differential equation y ″ + η sgn( y ) = 𝜃 y + α sin( β t ) where the parameters η , 𝜃 ,… Click to show full abstract
We consider the second-order discontinuous differential equation y ″ + η sgn( y ) = 𝜃 y + α sin( β t ) where the parameters η , 𝜃 , α , and β are real. The main goal is to discuss the existence of periodic solutions. Under explicit conditions, the number of such solutions is given. Furthermore, for each of these periodic solutions, an explicit formula is provided.
Keywords:
non autonomous;
class non;
periodic solutions;
solutions class;
second order
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2019
Link to full text (if available)
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recommendations!