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Refined blow-up results for nonlinear fourth order differential equations

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  • We study a class of nonlinear fourth order differential equations which arise as models of suspension bridges. When it comes to power-like nonlinearities, it is known that solutions may blow up in finite time, if the initial data satisfy some positivity assumption. We extend this result to more general nonlinearities allowing exponential growth and to a wider class of initial data. We also give some hints on how to prevent blow-up.
    Mathematics Subject Classification: 34A12, 65L05, 34C10, 35B05.


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