Oscillatory and asymptotic properties of a class of operator-differential inequalities-Reference-Cited by-同舟云学术

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

Published:1984 Issue:1-2 Volume:96 Page:5-13
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Myshkis A. D.,Bainov D. D.,Zahariev A. I.

Abstract

SynopsisThe 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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. Oscillation, nonoscillation, and growth of solutions of nonlinear functional differential equations of arbitrary order

2. On oscillation of solutions of differential inequalities with retarded argument;Marusiak;Casopis Pest. Mat.,1979

3. On oscillation and asymptotic non-oscillation of functional retarded equations;Singh;Studia Sci. Math. Hungar.,1975

4. Nonlinear oscillations of higher-order functional-differential equations with deviated arguments;Kitamura;J. Math. Anal. Appl.,1980

5. Oszilazii reshenii differencial'nych uravnenii s otklonyayushtimsya argumentom;Norkin;Differential equations with deviating argument,,1977

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1. Necessary and sufficient conditions for oscillation of the solutions of linear functional differential equations of neutral type with distributed delay;Journal of Mathematical Analysis and Applications;1990-05

2. On the oscillatory properties of the solutions of nonlinear neutral functional differential equations of second order;Hiroshima Mathematical Journal;1989-01-01

3. Oscillatory properties of the solutions of linear equations of neutral type;Bulletin of the Australian Mathematical Society;1988-10