Full paper in PDF:
$%D.D. Bainov, M.D. Dimitrova, and A.D. Myshkis, Oscillatory and asymptotic properties of the solutions of a class of operator-differential equations, Rev. Mat. Univ. Complut. Madrid 7 (1994), no. 2, 309–323.%$

Oscillatory and Asymptotic Properties of the Solutions of a Class of Operator-Differential Equations
Drumi D. BAINOV, Margarita B. DIMITROVA,
and Anatoli D. MYSHKIS
South-West University “Neophyte Rilski”

Blagoevgrad -- Bulgaria

Filial Technical University

Sliven -- Bulgaria

Railway Transport Engineering Institute
Moscow -- Russia

Received: April 15, 1993
ABSTRACT

In the present paper the oscillatory and asymptotic properties of the solutions of the operator-differential equation

[tn-1(t)[tn-2(t)[...[t1(t)[t0(t).x(t)]']'...]']']'+ d.(Ax)(t)= 0

are investigated, where A is a monotonic operator with certain properties.

Particular realizations of the operator A are given, for which the results obtained can be applied.

1991 Mathematics Subject Classification: 34C10, 34D05.