Oscillations of higher order differential equations of neutral type

N. Parhi

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 155-173
  • ISSN: 0011-4642

Abstract

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In this paper, sufficient conditions have been obtained for oscillation of solutions of a class of n th order linear neutral delay-differential equations. Some of these results have been used to study oscillatory behaviour of solutions of a class of boundary value problems for neutral hyperbolic partial differential equations.

How to cite

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Parhi, N.. "Oscillations of higher order differential equations of neutral type." Czechoslovak Mathematical Journal 50.1 (2000): 155-173. <http://eudml.org/doc/30551>.

@article{Parhi2000,
abstract = {In this paper, sufficient conditions have been obtained for oscillation of solutions of a class of $n$th order linear neutral delay-differential equations. Some of these results have been used to study oscillatory behaviour of solutions of a class of boundary value problems for neutral hyperbolic partial differential equations.},
author = {Parhi, N.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Oscillation; nonoscillation; boundary value problem; neutral equations; hyperbolic equations; oscillation; nonoscillation; boundary value problem; neutral equations; hyperbolic equations},
language = {eng},
number = {1},
pages = {155-173},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillations of higher order differential equations of neutral type},
url = {http://eudml.org/doc/30551},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Parhi, N.
TI - Oscillations of higher order differential equations of neutral type
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 155
EP - 173
AB - In this paper, sufficient conditions have been obtained for oscillation of solutions of a class of $n$th order linear neutral delay-differential equations. Some of these results have been used to study oscillatory behaviour of solutions of a class of boundary value problems for neutral hyperbolic partial differential equations.
LA - eng
KW - Oscillation; nonoscillation; boundary value problem; neutral equations; hyperbolic equations; oscillation; nonoscillation; boundary value problem; neutral equations; hyperbolic equations
UR - http://eudml.org/doc/30551
ER -

References

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  1. Oscillation of odd order neutral differential equations, Czechoslovak Math. J. 42(117) (1992), 313–323. (1992) MR1179502
  2. Oscillation of even order neutral differential equations, Indian J. Math. 35 (1993), 9–25. (1993) MR1249639
  3. “Oscillation Theory of Delay-Differential Equations”, Clarendon Press, Oxford, 1991. (1991) MR1168471
  4. On the question of variability of solutions of nonlinear differential equations, Differentsial’nye Uravneniya 1 (1965), 995–1006; Translation: Differential Equations 1 (1965), 773–782. MR0194689
  5. “Oscillation Theory of Differential Equations with Deviating Arguments”, Marcel Dekker, INC, New York, 1987. (1987) MR1017244
  6. Oscillations of neutral differential equations of higher order, Bull. Inst. Math. Acad. Sinica 24 (1996). (1996) MR1398241
  7. 10.2307/2047912, Proc. Amer. Math. Soc. 110 (1990), 711–719. (1990) Zbl0736.34060MR1023349DOI10.2307/2047912
  8. Oscillations and nonoscillations in higher order neutral equations, J. Math. Phys. Sci. 25 (1991), 152–165. (1991) MR1135484

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