Publication Date:
1992-01-01
Description:
In the present paper the oscillatory properties of the solutions of the equation[(Lx)(t)](n)+∫ItK(t,s,x(s))ds=0are investigated wheren≥1,Lis an operator of the difference type,It⊂ℝ,K:DK→ℝ,DK⫅ℝ3,x:[αx,∞]→ℝ. Under natural conditions imposed onL,ItandKit is proved that forneven all ultimately nonzero solutions oscillate and fornodd they either oscillate or tend to zero ast→∞.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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