×

Oscillation of differential systems of neutral type. (English) Zbl 1081.34079

Summary: We study oscillatory properties of solutions of systems \[ \begin{aligned} [y_1(t)-a(t)y_1(g(t))]'=&p_1(t)y_2(t), \\ y_2'(t)=&{-p_2}(t)f(y_1(h(t))), \quad t\geq t_0. \end{aligned} \]

MSC:

34K40 Neutral functional-differential equations
PDF BibTeX XML Cite
Full Text: DOI EuDML Link

References:

[1] I. Györi and G. Ladas: Oscillation of systems of neutral differential equations. Diff. and Integral Equat. 1 (1988), 281–286. · Zbl 0723.34057
[2] Y. Kitamura and T. Kusano: On the oscillation of a class of nonlinear differential systems with deviating argument. J. Math. Anal. Appl. 66 (1978), 20–36. · Zbl 0417.34107
[3] P. Marušiak: Oscillation criteria for nonlinear differential systems with general deviating arguments of mixed type. Hiroshima Math. J. 20 (1990), 197–208. · Zbl 0733.34072
[4] P. Marušiak: Oscillatory properties of functional differential systems of neutral type. Czechoslovak Math. J. 43(118) (1993), 649–662. · Zbl 0801.34071
[5] B. Mihalíková: Some properties of neutral differential systems equations. Bolletino U.M.I. 8 5-B (2002), 279–287.
[6] H. Mohamad and R. Olach: Oscillation of second order linear neutral differential equations. Proceedings of the International Scientific Conference of Mathematics. University of žilina, žilina, 1998, pp. 195–201. · Zbl 0936.34066
[7] R. Olach: Oscillation of differential equation of neutral type. Hiroshima Math. J. 25 (1995), 1–10.
[8] R. Olach and H. Šamajová: Oscillation of nonlinear differential systems with retarded arguments. 1st International Conference APLIMAT 2002. Bratislava, 2002, pp. 309–312.
[9] E. Špániková: Oscillatory properties of solutions of three-dimensional differential systems of neutral type. Czechoslovak Math. J. 50(125) (2000), 879–887. · Zbl 1079.34550
[10] E. Špániková: Oscillatory properties of solutions of neutral differential systems. Fasc. Math. 31 (2001), 91–103.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.