Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations

Y. Kitamura; Takaŝi Kusano; Bikkar S. Lalli

Mathematica Bohemica (1995)

  • Volume: 120, Issue: 1, page 57-69
  • ISSN: 0862-7959

Abstract

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For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation.

How to cite

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Kitamura, Y., Kusano, Takaŝi, and Lalli, Bikkar S.. "Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations." Mathematica Bohemica 120.1 (1995): 57-69. <http://eudml.org/doc/247807>.

@article{Kitamura1995,
abstract = {For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation.},
author = {Kitamura, Y., Kusano, Takaŝi, Lalli, Bikkar S.},
journal = {Mathematica Bohemica},
keywords = {neutral differential equation; asymptotic and oscillatory behaviour; unperturbed equations; neutral differential equation; asymptotic and oscillatory behaviour},
language = {eng},
number = {1},
pages = {57-69},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations},
url = {http://eudml.org/doc/247807},
volume = {120},
year = {1995},
}

TY - JOUR
AU - Kitamura, Y.
AU - Kusano, Takaŝi
AU - Lalli, Bikkar S.
TI - Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations
JO - Mathematica Bohemica
PY - 1995
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 120
IS - 1
SP - 57
EP - 69
AB - For a certain class of functional differential equations with perturbations conditions are given such that there exist solutions which converge to solutions of the equations without perturbation.
LA - eng
KW - neutral differential equation; asymptotic and oscillatory behaviour; unperturbed equations; neutral differential equation; asymptotic and oscillatory behaviour
UR - http://eudml.org/doc/247807
ER -

References

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  1. J. Jaroš, T. Kusano, Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type, Funkcial. Ekvac. 32 (1989), 251-263. (1989) MR1019433
  2. J. Jaroš, T. Kusano, Existence of oscillatory solutions for functional differential equations of neutral type, Acta Math. Univ. Comenian. 90 (1991), 185-194. (1991) MR1155243
  3. Y. Kitamura, T. Kusano, Oscillation and asymptotic behavior of first order functional differential equations of neutral type, Funkcial. Ekvac. 33 (1990), 325-343. (1990) MR1078135
  4. Y. Naito, Nonoscillatory solutions of neutral differential equations, Hiгoshima Math. J. 20 (1990), 233-258. (1990) Zbl0721.34091MR1063362
  5. Y. Naito, Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations, Funkcial. Ekvac 35 (1992), 95-110. (1992) Zbl0771.34054MR1172423
  6. Y. Naito, Existence and asymptotic behavior of positive solutions of neutral differential equations, J. Math. Anal. Appl. To appear. Zbl0818.34036MR1301729
  7. J. Ruan, Types and criteria of nonoscillatory solutìons of second order linear neutral differential equations, Chinese Ann. Math. Ser. A 8 (1987), 114-124. (In Chinese.) (1987) MR0901645

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