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Oscillations of certain partial differential equations with deviating arguments

Published online by Cambridge University Press:  17 April 2009

B.S. Lalli
Affiliation:
Department of Mathematics, University of Saskatchewan, Saskatoon, Saskatchewan S7N 0W0, Canada
Y.H. Yu
Affiliation:
Institute of Applied Mathematics, Academia Sinica Beijing, China100080
B.T. Cui
Affiliation:
Bin Zhou Normal College, Shandong, China256604
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Abstract

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Sufficient conditions are established for the oscillation of solutions of hyperbolic equations of neutral type of the form

where R+ = {0, ∞), Ω is a bounded domain in Rn with a piecewise smooth boundary ∂Ω.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

References

[1]Georgiou, D. and Kreith, K., ‘Functional characteristic initial value problems’, J. Math. Anal. Appl. 107 (1985), 414424.Google Scholar
[2]Grammatikopoulos, M.K., Ladas, G. and Meimaridou, A., ‘Oscillations of Second Order neutral delay differential equations’, Rad. Mat. 1 (1985), 267274.Google Scholar
[3]Mishev, D.P. and Bainov, D.D., ‘Oscillation properties of the solutions of a class of hyperbolic equations of neutral type’, Funkcial. Ekvac. 29 (1986), 213218.Google Scholar
[4]Mishev, D.P. and Bainov, D.D., ‘Oscillation of the solutions of parabolic differential equations of neutral type’, Appl. Math. Comput. 28 (1988), 97111.Google Scholar
[5]Junjie, Wei, ‘Oscillation of second order delay differential equations’, Ann. Differential Eqations 4 (1988), 473478.Google Scholar
[6]Yoshid, N., ‘Forced oscillations of solutions of parabolic equations’, Bull. Austral. Math. Soc. 36 (1987), 289294.Google Scholar