Periodic Solutions of a Class of Non-autonomous Discontinuous Second-Order Differential Equations View Full Text


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Article Info

DATE

2019-01-18

AUTHORS

Clayton E. L. da Silva, Alain Jacquemard, Marco A. Teixeira

ABSTRACT

We consider the second-order discontinuous differential equation y″ + η sgn(y) = 𝜃y + α sin(βt) 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. More... »

PAGES

1-28

References to SciGraph publications

  • 1969-12. Bounded perturbations of forced harmonic oscillators at resonance in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
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    http://scigraph.springernature.com/pub.10.1007/s10883-018-9426-7

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    http://dx.doi.org/10.1007/s10883-018-9426-7

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