Existence and asymptotic behavior of global solutions for a class of nonlinear higher-order wave equation.
Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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Ye, Yaojun (2010)
Journal of Inequalities and Applications [electronic only]
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Chen, Caisheng, Yao, Huaping, Shao, Ling (2010)
Journal of Inequalities and Applications [electronic only]
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Qingyong Gao, Fushan Li, Yanguo Wang (2011)
Open Mathematics
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In this paper, we consider the nonlinear Kirchhoff-type equation with initial conditions and homogeneous boundary conditions. Under suitable conditions on the initial datum, we prove that the solution blows up in finite time.
Ye, Yaojun (2010)
Advances in Difference Equations [electronic only]
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Lucente, Sandra (1999)
Serdica Mathematical Journal
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We study the Cauchy problem for utt − ∆u + V (x)u^5 = 0 in 3–dimensional case. The function V (x) is positive and regular, in particular we are interested in the case V (x) = 0 in some points. We look for the global classical solution of this equation under a suitable hypothesis on the initial energy.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Cabanillas Lapa, E., Huaringa Segura, Z., Leon Barboza, F. (2005)
Journal of Applied Mathematics
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Feng, Xueshang (1995)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Mohammed Aassila (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note we prove the exponential decay of solutions of a quasilinear wave equation with linear damping and source terms.