Comparison theorems for differential equations of neutral type

Miroslava Růžičková

Mathematica Bohemica (1997)

  • Volume: 122, Issue: 2, page 181-189
  • ISSN: 0862-7959

Abstract

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We are interested in comparing the oscillatory and asymptotic properties of the equations L n [ x ( t ) - P ( t ) x ( g ( t ) ) ] + δ f ( t , x ( h ( t ) ) ) = 0 with those of the equations M n [ x ( t ) - P ( t ) x ( g ( t ) ) ] + δ Q ( t ) q ( x ( r ( t ) ) ) = 0 .

How to cite

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Růžičková, Miroslava. "Comparison theorems for differential equations of neutral type." Mathematica Bohemica 122.2 (1997): 181-189. <http://eudml.org/doc/248147>.

@article{Růžičková1997,
abstract = {We are interested in comparing the oscillatory and asymptotic properties of the equations $L_n [x(t)-P(t) x(g(t))]+\delta f(t,x(h(t)))=0$ with those of the equations $M_n [x(t)-P(t) x(g(t))]+\delta Q(t)q(x(r(t)))=0.$},
author = {Růžičková, Miroslava},
journal = {Mathematica Bohemica},
keywords = {neutral differential equations; oscillatory solutions; property $\mathcal \{A\}$; property $\mathcal \{B\}$; quasi-derivatives; neutral differential equations; oscillatory solutions; property ; property },
language = {eng},
number = {2},
pages = {181-189},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Comparison theorems for differential equations of neutral type},
url = {http://eudml.org/doc/248147},
volume = {122},
year = {1997},
}

TY - JOUR
AU - Růžičková, Miroslava
TI - Comparison theorems for differential equations of neutral type
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 181
EP - 189
AB - We are interested in comparing the oscillatory and asymptotic properties of the equations $L_n [x(t)-P(t) x(g(t))]+\delta f(t,x(h(t)))=0$ with those of the equations $M_n [x(t)-P(t) x(g(t))]+\delta Q(t)q(x(r(t)))=0.$
LA - eng
KW - neutral differential equations; oscillatory solutions; property $\mathcal {A}$; property $\mathcal {B}$; quasi-derivatives; neutral differential equations; oscillatory solutions; property ; property
UR - http://eudml.org/doc/248147
ER -

References

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  7. W. E. Mahfoud, 10.1016/0022-0396(78)90138-9, J. Differential Equations 28 (1978), 437-451. (1978) MR0499605DOI10.1016/0022-0396(78)90138-9
  8. R. Oláh, Oscillation of differential equation of neutral type, Hiroshima Math. J. 25 (1995), 1-10. (1995) MR1322598
  9. M. Růžičková, E. Špániková, On oscillation of functional differential equations of neutral type with the quasi-derivatives, Studies of Univ. of Transp. and Com. 10 (1995), 55-63. (1995) MR1437836
  10. A. Zafer, R. S. Dahiya, 10.1016/0893-9659(93)90010-K, Appl. Math. Lett. 6 (1993), no. 2, 43-46. (1993) Zbl0776.34058MR1347773DOI10.1016/0893-9659(93)90010-K
  11. T. Kusano, M. Naito, 10.2969/jmsj/03330509, J. Math. Soc. Japan 3 (1981), 509-532. (1981) Zbl0494.34049MR0620288DOI10.2969/jmsj/03330509

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