Asymptotic Nonoscillations in Fourth Order Retarded Differential Equations

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Authors

  • Bhagat Singh
     Department of Mathematics, University of Wisconsin, Center-Manitowoc County Manitowoc, Wisconsin 54220 ,US

Abstract

Certain physical mechanisms whose performance is related to the past rate of change have lead to the study of differential equations [1]. Mathematical systems representing such mechanisms involve differential equations of retarded type. One example of such a widespread use of these equations is pulse code modulation system in telephone network Smith [8].

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Published

1976-12-01

How to Cite

Singh, B. (1976). Asymptotic Nonoscillations in Fourth Order Retarded Differential Equations. The Journal of the Indian Mathematical Society, 40(1-4), 53–67. Retrieved from http://informaticsjournals.com/index.php/jims/article/view/16613

Issue

Volume 40, Issue 1-4, March-December 1976

Section

Articles

License

Copyright (c) 1976 Bhagat Singh

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

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BRADLEY, JOHN S., Oscillation theorems for second order delay equations, Differential Equations 8, (1970), 397-403.

BURTON T. AND R. GRIMMER, On the asymptotic behavior of solutions of x"(t)+a(t)f(x)=e(t), Pac. J. Math. Vol. 41, No. 1, (1972), 77-88.

ELLIASON, STANLEY B., A Lyapunov inequality for a certain second order nonlinear differential equation, /. London Math. Soc. (2), 2 (1970), 467-472.

HAMMETT, MICHAEL E., Nonoscillation properties of a nonlinear differential equation, Proc. Amer. Math. Soc. Vol. 30, No. 1, (1970).

MINORSKY, N., "Nonlinear Oscillations", van Nostrand, Princeton, NJ, 1962.

SMITH, R.A., Solution estimates for a certain linear delay differential systems, London Math. Soc. (2), 2 (1970), 581-588.

TRAVIS, C. C, Oscillation theorems for second order differential equations with functional arguments, Proc. Amer. Math. Soc, Vol. 31, No. 1, 1972.