Global attractor for non-autonomous wave equation without uniqueness of solution

Authors

  • G. Iovane
  • O. V. Kapustyan

Abstract

In the paper the non-autonomous wave equation with non-smooth right-hand side is considered. It is proved that all its weak solutions generate multi-valued non autonomous dynamical system, which has invariant global attractor in the phase space.

Author Biographies

G. Iovane

Iovane G.

O. V. Kapustyan

Kapustyan O.V.

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Issue

No. 2 (2006)

Section

New methods in system analysis, computer science and theory of decision making

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