On the asymptotic behavior of solutions for a class of second order nonlinear differential equations.
Yuri V. Rogovchenko (1998)
Collectanea Mathematica
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Yuri V. Rogovchenko (1998)
Collectanea Mathematica
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It is established convergence to a particular equilibrium for weak solutions of abstract linear equations of the second order in time associated with monotone operators with nontrivial kernel. Concerning nonlinear hyperbolic equations with monotone and conservative potentials, it is proved a general asymptotic convergence result in terms of weak and strong topologies of appropriate Hilbert spaces. It is also considered the stabilization of a particular equilibrium via the introduction...
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