Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-26T02:23:31.325Z Has data issue: false hasContentIssue false

On non-homogeneous canonical third-order linear differential equations

Published online by Cambridge University Press:  09 April 2009

N. Parhi
Affiliation:
Berhampur University, Berhampur-760007, India
Rights & Permissions [Opens in a new window]

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.

In this paper sufficient conditions have been obtained for non-oscillation of non-homogeneous canonical linear differential equations of third order. Some of these results have been extended to non-linear equations.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1994

References

[1]Barrett, J. H., ‘Oscillation theory of ordinary linear differential equations’, Adv. in Math. 3 (1969), 415509.CrossRefGoogle Scholar
[2]Hartman, P., Ordinary differential equations (Wiley, New York, 1964).Google Scholar
[3]Jayaraman, G., Padmanabhan, N. and Mehrotra, R., ‘Entry flow into a circular tube of slowly varying cross-section’, in: Fluid Dynamics Research 1 (The Japan Society of Fluid Mechanics, 1986) pp. 131144.Google Scholar
[4]Parhi, N., ‘Nonoscillatory behaviour of solutions of nonhomogeneous third order differential equations’, Applicable Anal. 12 (1981), 273285.CrossRefGoogle Scholar
[5]Parhi, N. and Parhi, S., ‘Qualitative behaviour of solutions of forced nonlinear third order differential equations’, Riv. Mat. Univ. Parma (4) 13 (1987), 201210.Google Scholar
[6]Swanson, C. A., Comparison and oscillation theory of linear differential equations (Academic Press, New York, 1968).Google Scholar