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Oscillatory and asymptotic properties of a class of operator-differential inequalities

Published online by Cambridge University Press:  14 November 2011

A. D. Myshkis ,
D. D. Bainov  and
A. I. Zahariev
A. D. Myshkis
Affiliation:
Moscow Institute of Railway Transport Engineers, U.S.S.R.
D. D. Bainov
Affiliation:
University of Plovdiv “Paisii Hilendarski”, Bulgaria
A. I. Zahariev
Affiliation:
University of Plovdiv “Paisii Hilendarski”, Bulgaria
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Synopsis

The present paper studies some asymptotic (including oscillatory) properties of the solutions of operator-differential inequalities of the form

where

(the latter symbol denotes the space of locally summable functions).

As an application of the results obtained, theorems are proved for the asymptotic behaviour of the solutions of certain classes of functional-differential and integro-differential neutral-type equations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 1-2 , 1984 , pp. 5 - 13
Copyright
Copyright © Royal Society of Edinburgh 1984

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