Asymptotic Behavior of Solutions to Some Homogeneous Second-Order Evolution Equations of Monotone Type

We study the asymptotic behavior of solutions to the second-order evolution equation p(t)u″(t)+r(t)u′(t)∈Au(t) a.e. t∈(0,+∞), u(0)=u0, supt≥0|u(t)|<+∞, where A is a maximal monotone operator in a real Hilbert space H with A−1(0) nonempty, and p(t) and r(t)...

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Bibliographic Details
Main Authors: Hadi Khatibzadeh, Behzad Djafari Rouhani
Format: Article
Language:English
Published: SpringerOpen 2007-06-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/72931