Oscillations of certain functional differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Oscillations of certain functional differential equations

Authors:	S. R. Grace

Affiliation:	(1) Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, A.R. of Egypt

Abstract:	Sufficient conditions are presented for all bounded solutions of the linear system of delay differential equations $( - 1)^{m + 1} frac{{d^m y_i (t)}}{{dt^m }} + sumlimits_{j = 1}^n {q_{ij} y_j (t - h_{jj} ) = 0,{text{ }}m geqslant 1,;;i = 1,2,...,n,}$ to be oscillatory, where q_ij(–, ), h_jj (0, ), i, j = 1,2,..., n. Also, we study the oscillatory behavior of all bounded solutions of the linear system of neutral differential equations $( - 1)^{m + 1} frac{{d^m }}{{dt^m }}(y_i (t) + cy_i (t - g)) + sumlimits_{j = 1}^n {q_{ij} y_j (t - h) = 0,}$ where c, g and h are real constants and i = 1,2,..., n.

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