Properties of resolvent sets and estimates for resolvents of nonlinear operators (Q1593926)

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scientific article; zbMATH DE number 1557280
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Properties of resolvent sets and estimates for resolvents of nonlinear operators
scientific article; zbMATH DE number 1557280

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    Properties of resolvent sets and estimates for resolvents of nonlinear operators (English)
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    28 January 2001
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    The author extends several theorems on resolvents and resolvent sets of linear operators to nonlinear operators with arbitrary rate of growth. He uses his concepts from previous articles [Dokl. Akad. Nauk, Ross. Akad. Nauk 350, No. 4, 455-457 (1996; Zbl 0896.47046) and Funkts. Anal. Prilozh., 30, No. 2, 93-95 (1996; Zbl 0897.47007)]. He also discusses a nonstandard definition of eigenvalues and eigenvectors of nonlinear operators and its relation to the branching theory.
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    resolvent sets
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    nonlinear operators with arbitrary rate of growth
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    nonstandard definition of eigenvalues and eigenvectors of nonlinear operators
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    branching theory
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