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We prove $$L^r$$ L r -estimates on periodic solutions of periodically forced, linearly damped mechanical systems with polynomially bounded potentials. The estimates are applied to obtain a nonexistence result of… Click to show full abstract
We prove $$L^r$$ L r -estimates on periodic solutions of periodically forced, linearly damped mechanical systems with polynomially bounded potentials. The estimates are applied to obtain a nonexistence result of periodic solutions in bounded domains, depending on an upper bound on the gradient of the potential. The results are illustrated on examples.
Keywords:
damped potential;
bounded domains;
forced damped;
orbits forced;
nonexistence periodic;
periodic orbits
Journal Title: Journal of Nonlinear Science
Year Published: 2020
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Journal Title: Journal of Nonlinear Science
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!