No CrossRef data available.
Article contents
Decay estimates for some nonlinear second order ordinary differential equations
Published online by Cambridge University Press: 17 April 2009
Abstract
Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Precise decay estimates as t → ∞ are derived for a class of nonlinear second order ordinary differential equations of the form
where h, g and f are functions like
With α > −1, β > −1 and γ > −1.
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Society 1989
References
[1]Nakao, M., ‘On bounded, periodic and almost periodic solutions for a system of nonlinear second order ordinary differential equations’, J. Math. Anal. Appl. 61 (1977), 620–632.CrossRefGoogle Scholar
[2]Nakao, M., ‘A difference inequality and its application to nonlinear evolution equations’, J. Math. Soc. Japan 30 (1978), 747–762.Google Scholar
[3]Nakao, M., ‘Asymptotic stability for some nonlinear evolution equations of second order with unbounded dissipative term’, J. Differential Equations 30 (1978), 54–63.Google Scholar
[4]Nakao, M., ‘An example of nonlinear wave equation whose solutions decay faster than exponentially’, J. Math. Anal. Appl. 122 (1987), 260–264.CrossRefGoogle Scholar
[5]Redheffer, R. and Walter, W., ‘A comparison theorem for difference inequalities’, J. Differential Equations 44 (1982), 111–117.Google Scholar
[6]Yamada, Y., ‘On the decay of solutions for some nonlinear evolution equations of second order’, Nagoya Math. J. 1 (1979), 67–98.Google Scholar
You have
Access