Abstract
We consider a quasilinear equation of fourth order that models the mechanical vibrations of a marine riser. We study the nonexistence of global solutions for any real value of the initial energy. To this end, we construct a new invariant set and improve previous results.
Acknowledgements
I want to thank to the referee for the very useful suggestions to improve the final version of the work.
References
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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Some curvature properties of paracontact metric manifolds
- An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
- On some classes of differential equations and associated integral equations for the Laguerre–Appell polynomials
- On nonexistence of global solutions of a quasilinear riser equation
- Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
- Existence of a solution for a nonlocal elliptic system of (p(x),q(x))-Kirchhoff type
Articles in the same Issue
- Frontmatter
- Some curvature properties of paracontact metric manifolds
- An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
- On some classes of differential equations and associated integral equations for the Laguerre–Appell polynomials
- On nonexistence of global solutions of a quasilinear riser equation
- Qualitative uncertainty principle for the Gabor transform on certain locally compact groups
- Existence of a solution for a nonlocal elliptic system of (p(x),q(x))-Kirchhoff type