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Boundedness and unboundedness of solutions for reversible oscillators at resonance - MaRDI portal

Boundedness and unboundedness of solutions for reversible oscillators at resonance (Q5920617)

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scientific article; zbMATH DE number 5045917
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Boundedness and unboundedness of solutions for reversible oscillators at resonance
scientific article; zbMATH DE number 5045917

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    Boundedness and unboundedness of solutions for reversible oscillators at resonance (English)
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    14 August 2006
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    Using a variant of the twist theorem for reversible maps, the author deals with the boundedness of solutions of the perturbed asymmetric oscillator with damping \[ \ddot x +f(\dot x)+ax^+-bx^-+g(x)=p(t), \] where \((a,b)\) is on one of the Fučik spectrum curves.
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    boundedness of solution
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    twist theorem for reversible map
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