On the oscillatory properties of the solutions of a class of integro-differential equations of neutral type

Autor:	D. D. Bainov, A. D. Myshkis, A. I. Zahariev
Jazyk:	angličtina
Rok vydání:	1992
Předmět:	integral equations operator differential equations oscillatory and non-oscillatory solutions. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 15, Iss 1, Pp 119-128 (1992)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171292000140
Popis:	In the present paper the oscillatory properties of the solutions of the equation[(Lx)(t)](n)+∫ItK(t,s,x(s))ds=0are investigated where n≥1, L is an operator of the difference type, It⊂ℝ, K:DK→ℝ, DK⫅ℝ3, x:[αx,∞]→ℝ. Under natural conditions imposed on L, It and K it is proved that for n even all ultimately nonzero solutions oscillate and for n odd they either oscillate or tend to zero as t→∞.
Databáze:	Directory of Open Access Journals
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