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M. Hosoya and Y. Yamada, “On Some Nonlinear Wave Equations II: Global Existence and Energy Decay of Solutions,” Journal of the Faculty of Science, The University of Tokyo, Section IA, Mathematics, Vol. 38, No. 1, 1991, pp. 239-250.

has been cited by the following article:

• TITLE: On the Exponential Decay of Solutions for Some Kirchhoff-Type Modelling Equations with Strong Dissipation

  AUTHORS: Yaojun Ye

  KEYWORDS: Kirchhoff-type Equation; Initial Boundary Value Problem; Stable Set; Exponential Decay Estimate

  JOURNAL NAME: Applied Mathematics, Vol.1 No.6, December 27, 2010

  ABSTRACT: This paper deals with the initial boundary value problem for a class of nonlinear Kirchhoff-type equations with strong dissipative and source terms in a bounded domain, where and are constants. We obtain the global existence of solutions by constructing a stable set in and show the energy exponential decay estimate by applying a lemma of V. Komornik.