Oscillation theorems for neutral differential equations of higher order

Jozef Džurina

Czechoslovak Mathematical Journal (2004)

  • Volume: 54, Issue: 1, page 107-117
  • ISSN: 0011-4642

Abstract

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In this paper we present some new oscillatory criteria for the n -th order neutral differential equations of the form ( x ( t ) ± p ( t ) x [ τ ( t ) ] ) ( n ) + q ( t ) x [ σ ( t ) ] = 0 . The results obtained extend and improve a number of existing criteria.

How to cite

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Džurina, Jozef. "Oscillation theorems for neutral differential equations of higher order." Czechoslovak Mathematical Journal 54.1 (2004): 107-117. <http://eudml.org/doc/30842>.

@article{Džurina2004,
abstract = {In this paper we present some new oscillatory criteria for the $n$-th order neutral differential equations of the form \[ (x(t)\pm p(t)x[\tau (t)])^\{(n)\} +q(t)x[\sigma (t)] =0. \] The results obtained extend and improve a number of existing criteria.},
author = {Džurina, Jozef},
journal = {Czechoslovak Mathematical Journal},
keywords = {neutral equation; delayed argument; neutral equation; delayed argument},
language = {eng},
number = {1},
pages = {107-117},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Oscillation theorems for neutral differential equations of higher order},
url = {http://eudml.org/doc/30842},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Džurina, Jozef
TI - Oscillation theorems for neutral differential equations of higher order
JO - Czechoslovak Mathematical Journal
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 54
IS - 1
SP - 107
EP - 117
AB - In this paper we present some new oscillatory criteria for the $n$-th order neutral differential equations of the form \[ (x(t)\pm p(t)x[\tau (t)])^{(n)} +q(t)x[\sigma (t)] =0. \] The results obtained extend and improve a number of existing criteria.
LA - eng
KW - neutral equation; delayed argument; neutral equation; delayed argument
UR - http://eudml.org/doc/30842
ER -

References

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  5. 10.1002/mana.19911500103, Math. Nachr. 150 (1991), 15–24. (1991) MR1109642DOI10.1002/mana.19911500103
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  7. Oscillation and asymptotic behavior of higher order neutral equations with variable coefficients, Chinese Ann. Math. 9B (1988), 322–338. (1988) MR0968469
  8. Oscillation of odd order neutral differential equations, Czechoslovak Math.  J. 42(117) (1992), 313–323. (1992) MR1179502
  9. Theory of Delay Differential Equations with Applications, Clarendon Press, Oxford, 1991. (1991) MR1168471
  10. Theory of Functional Differential Equations, Springer-Verlag, New York, 1977. (1977) Zbl0352.34001MR0508721
  11. On the asymptotic behavior of the second order neutral differential equations, Publ. Math. Debrecen 57 (2000), 153–161. (2000) 
  12. Oscillation of neutral differential equations of higher order, Bull. Inst. Math. Sinica 24 (1996), 139–150. (1996) 
  13. Comparison theorems for differential equations of neutral type, Fasc. Math. (1998), 141–148. (1998) 

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