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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1978 Volume 105(147), Number 4, Pages 622–637 (Mi sm2547)

This article is cited in 3 papers

On a smooth selection theorem and its application to multivalued integral equations

Phan Văn Chu'o'ng


Abstract: In § 1 a theorem is proved on the existence of separately measurable, absolutely continuous sections of a type of multivalued mappings. This result is applied in § 2 to prove the existence of global solutions of multivalued integral equations of Volterra type.
Bibliography: 16 titles.

UDC: 517.948

MSC: 54C60, 45D05, 49B34

Received: 20.04.1977


 English version:
Mathematics of the USSR-Sbornik, 1978, 34:4, 547–559

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