### About uniform boundedness and convergence of solutions of certain nonlinear differential equations of fifth-order.

Tunç, Cemil (2007)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Tunç, Cemil (2007)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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Ondřej Došlý, Jana Řezníčková (2011)

Archivum Mathematicum

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We establish a Hartman type asymptotic formula for nonoscillatory solutions of the half-linear second order differential equation $${\left(r\left(t\right)\Phi \left({y}^{\text{'}}\right)\right)}^{\text{'}}+c\left(t\right)\Phi \left(y\right)=0\phantom{\rule{0.166667em}{0ex}},\phantom{\rule{1.0em}{0ex}}\Phi \left(y\right):={\left|y\right|}^{p-2}y\phantom{\rule{0.166667em}{0ex}},\phantom{\rule{4pt}{0ex}}p>1\phantom{\rule{0.166667em}{0ex}}.$$

Mingarelli, Angelo B., Sadarangani, Kishin (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Bucur, Amelia (2006)

General Mathematics

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Nápoles Valdés, Juan E. (1999)

Revista Colombiana de Matemáticas

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Diamandescu, Aurel (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Bartusek, M. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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García-Melián, Jorge (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Boulite, Said, Maniar, Lahcen, Moussi, Mohammed (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Grzegorz Karch (2000)

Banach Center Publications

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In this paper, we survey some recent results on the asymptotic behavior, as time tends to infinity, of solutions to the Cauchy problems for the generalized Korteweg-de Vries-Burgers equation and the generalized Benjamin-Bona-Mahony-Burgers equation. The main results give higher-order terms of the asymptotic expansion of solutions.

Cardiel, Rosa E., Kaikina, Elena I. (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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