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On measure-compact operators

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Abstract

We obtain new sufficient solvability conditions for equations with measure-compact operators comparable with partially additive ones. We also prove new conditions under which these operators are locally condensing with respect to the Hausdorff measure of noncompactness. As an application of the obtained results we prove one property of bifurcation points which occur, in particular, in nonlinear mechanics.

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Authors and Affiliations

  1. Moscow State Technical University of Civil Aviation, Kronshtadtskii bulv. 20, Moscow, 125993, Russia

    N. A. Erzakova

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  1. N. A. Erzakova
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Correspondence to N. A. Erzakova.

Additional information

Original Russian Text © N.A. Erzakova, 2011, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, No. 9, pp. 44–51.

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Erzakova, N.A. On measure-compact operators. Russ Math. 55, 37–42 (2011). https://doi.org/10.3103/S1066369X11090052

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  • DOI: https://doi.org/10.3103/S1066369X11090052

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