| Document Type
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BL
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| Record Number
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594994
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| Doc. No
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b424213
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| Main Entry
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Gilʹ, M. I., (Mikhail Iosifovich)
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| Title & Author
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Stability of neutral functional differential equations /\ Michael I. Gil'
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| Series Statement
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Atlantis studies in differential equations ;; volume 3
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| Page. NO
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1 online resource
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| ISBN
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9462390916
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: 9789462390911
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9462390908 (print)
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9789462390904
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9789462390904 (print)
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| Bibliographies/Indexes
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Includes bibliographical references and index
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| Contents
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Preliminaries -- Eigenvalues and Functions of Matrices -- Difference Equations with Continuous Time -- Linear Differential Delay Equations -- Linear Autonomous NDEs -- Linear Time-variant NDEs -- Nonlinear Vector NDEs -- Absolute Stability of Scalar NDEs -- Bounds for Characteristic Values of NDEs
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| Abstract
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In this monograph the author presents explicit conditions for the exponential, absolute and input-to-state stabilities -- including solution estimates -- of certain types of functional differential equations. The main methodology used is based on a combination of recent norm estimates for matrix-valued functions, comprising the generalized Bohl-Perron principle, together with its integral version and the positivity of fundamental solutions. A significant part of the book is especially devoted to the solution of the generalized Aizerman problem
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| Subject
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Differential equations
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| Dewey Classification
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515.353
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| LC Classification
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QA371.3
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| Added Entry
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Ohio Library and Information Network
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