This article is cited in 3 papers

Analogs of Generalized Resolvents for Relations Generated by a Pair of Differential Operator Expressions One of which Depends on Spectral Parameter in Nonlinear Manner

V. Khrabustovskyi

Ukrainian State Academy of Railway Transport, 7 Feyerbakh Sq., Kharkiv 61050, Ukraine

Abstract: For the relations generated by a pair of differential operator expressions one of which depends on the spectral parameter in the Nevanlinna manner we construct the analogs of the generalized resolvents which are integro-differential operators.

Key words and phrases: operator differential relation, non-injective resolvent, generalized resolvent.

MSC: 34B05, 34B07, 34L10

Received: 24.10.2012

Language: English

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