About DML-CZ | FAQ | Conditions of Use | Math Archives | Contact Us
  Previous |  Up |  Next

Article

First Page Preview
Kitamura, Y. ; Kusano, T. ; Lalli, B. S.
Existence of oscillatory and nonoscillatory solutions for a class of neutral functional differential equations. (English). Mathematica Bohemica, vol. 120 (1995), issue 1, pp. 57-69
MSC: 34C10, 34K15, 34K40, 34K99 | MR 1336946 | Zbl 0838.34079 | DOI: 10.21136/MB.1995.125896
Keywords:
neutral differential equation; asymptotic and oscillatory behaviour; unperturbed equations
Summary:
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.
References:
[1] J. Jaroš, T. Kusano: Asymptotic behavior of nonoscillatory solutions of nonlinear functional differential equations of neutral type. Funkcial. Ekvac. 32 (1989), 251-263. MR 1019433
[2] J. Jaroš, T. Kusano: Existence of oscillatory solutions for functional differential equations of neutral type. Acta Math. Univ. Comenian. 90 (1991), 185-194. MR 1155243
[3] Y. Kitamura, T. Kusano: Oscillation and asymptotic behavior of first order functional differential equations of neutral type. Funkcial. Ekvac. 33 (1990), 325-343. MR 1078135
[4] Y. Naito: Nonoscillatory solutions of neutral differential equations. Hiгoshima Math. J. 20 (1990), 233-258. MR 1063362 | Zbl 0721.34091
[5] Y. Naito: Asymptotic behavior of decaying nonoscillatory solutions of neutral differential equations. Funkcial. Ekvac 35 (1992), 95-110. MR 1172423 | Zbl 0771.34054
[6] Y. Naito: Existence and asymptotic behavior of positive solutions of neutral differential equations. J. Math. Anal. Appl. To appear. MR 1301729 | Zbl 0818.34036
[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.) MR 0901645
Partner of
EuDML logo