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

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.

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