Michael I. Gil's Books

Stability of Neutral Functional Differential Equations

By: Michael I. Gil'

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Stability of Neutral Functional Differential Equations

By: Michael I. Gil'

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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Page Count

311

Publisher

Springer

Published Date

ISBN 10

9462390916

ISBN 13

9789462390911

Operator Functions and Localization of Spectra

By: Michael I. Gil

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Operator Functions and Localization of Spectra

By: Michael I. Gil

Operator Functions and Localization of Spectra is the first book that presents a systematic exposition of bounds for the spectra of various linear nonself-adjoint operators in a Hilbert space, having discrete and continuous spectra. In particular bounds for the spectra of integral, differential and integro-differential operators, as well as finite and infinite matrices are established. The volume also presents a systematic exposition of estimates for norms of operator-valued functions and their applications.

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Page Count

261

Publisher

Springer

Published Date

ISBN 10

3540452257

ISBN 13

9783540452256

Stability of Vector Differential Delay Equations

By: Michael I. Gil’

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Stability of Vector Differential Delay Equations

By: Michael I. Gil’

Differential equations with delay naturally arise in various applications, such as control systems, viscoelasticity, mechanics, nuclear reactors, distributed networks, heat flows, neural networks, combustion, interaction of species, microbiology, learning models, epidemiology, physiology, and many others. This book systematically investigates the stability of linear as well as nonlinear vector differential equations with delay and equations with causal mappings. It presents explicit conditions for exponential, absolute and input-to-state stabilities. These stability conditions are mainly formulated in terms of the determinants and eigenvalues of auxiliary matrices dependent on a parameter; the suggested approach allows us to apply the well-known results of the theory of matrices. In addition, solution estimates for the considered equations are established which provide the bounds for regions of attraction of steady states. The main methodology presented in the book is based on a combined usage of the recent norm estimates for matrix-valued functions and the following methods and results: the generalized Bohl-Perron principle and the integral version of the generalized Bohl-Perron principle; the freezing method; the positivity of fundamental solutions. A significant part of the book is devoted to the Aizerman-Myshkis problem and generalized Hill theory of periodic systems. The book is intended not only for specialists in the theory of functional differential equations and control theory, but also for anyone with a sound mathematical background interested in their various applications.

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Page Count

267

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3034805772

ISBN 13

9783034805773

Glyceraldehyde-3-Phosphate Dehydrogenase (GAPDH)

The Quintessential Moonlighting Protein in Normal Cell Function and in Human Disease

By: Michael A. Sirover

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Glyceraldehyde-3-Phosphate Dehydrogenase (GAPDH)

The Quintessential Moonlighting Protein in Normal Cell Function and in Human Disease

By: Michael A. Sirover

Glyceraldehyde-3-Phosphate Dehydrogenase (GAPDH): The Quintessential Moonlighting Protein in Normal Cell Function and in Human Disease examines the biochemical protein interactions of the multi-dimensional protein GAPDH, further considering the regulatory mechanisms through which cells control their functional diversity. This protein's diverse activities range from nuclear tRNA export and the maintenance of genomic integrity, to cytoplasmic post-transcriptional control of gene expression and receptor mediated cell signaling, to membrane facilitation of iron metabolism, trafficking and fusion. This book will be of great interest to basic scientists, clinicians and students, including molecular and cell biologists, immunologists, pathologists and clinical researchers who are interested in the biochemistry of GAPDH in health and disease. - Contextualizes how GAPDH is utilized by cells in vivo - Provides detailed insight into GAPDH post-translational modifications, including functional diversity and its subcellular localization - Includes forward-thinking exposition on tough topics, such as the exploration of how GAPDG performs functions, how it decides where it should be present and requisite structural requirements

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Page Count

326

Publisher

Academic Press

Published Date

ISBN 10

0128098988

ISBN 13

9780128098981

Stability of Finite and Infinite Dimensional Systems

By: Michael I. Gil'

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Stability of Finite and Infinite Dimensional Systems

By: Michael I. Gil'

The aim of Stability of Finite and Infinite Dimensional Systems is to provide new tools for specialists in control system theory, stability theory of ordinary and partial differential equations, and differential-delay equations. Stability of Finite and Infinite Dimensional Systems is the first book that gives a systematic exposition of the approach to stability analysis which is based on estimates for matrix-valued and operator-valued functions, allowing us to investigate various classes of finite and infinite dimensional systems from the unified viewpoint. This book contains solutions to the problems connected with the Aizerman and generalized Aizerman conjectures and presents fundamental results by A. Yu. Levin for the stability of nonautonomous systems having variable real characteristic roots. Stability of Finite and Infinite Dimensional Systems is intended not only for specialists in stability theory, but for anyone interested in various applications who has had at least a first-year graduate-level course in analysis.

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363

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461555752

ISBN 13

9781461555759

Explicit Stability Conditions for Continuous Systems

A Functional Analytic Approach

By: Michael I. Gil

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Explicit Stability Conditions for Continuous Systems

A Functional Analytic Approach

By: Michael I. Gil

Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.

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Page Count

212

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540239847

ISBN 13

9783540239840

Operator Functions And Operator Equations

By: Michael Gil'

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Operator Functions And Operator Equations

By: Michael Gil'

This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have applications to the theories of ordinary differential, difference, functional-differential and integro-differential equations, as well as to the theories of integral operators and analytic functions. This book provides new tools for specialists in matrix theory and functional analysis. A significant part of the book covers the theory of triangular representations of operators that was developed by L de Branges, M S Brodskii, I C Gohberg, M G Krein, M S Livsic and other mathematicians.

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Page Count

260

Publisher

World Scientific

Published Date

ISBN 10

9813221283

ISBN 13

9789813221284

Barnhill's Dermatopathology, Fourth Edition

By: Raymond L. Barnhill,A. Neil Crowson,Cynthia M. Magro,Michael W. Piepkorn

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Barnhill's Dermatopathology, Fourth Edition

By: Raymond L. Barnhill,A. Neil Crowson,Cynthia M. Magro,Michael W. Piepkorn

The definitive survey of diagnostic dermatopathology—and the single-best resource for addressing differential diagnosis at the microscopic level A Doody's Core Title for 2023 & 2024! For virtually every kind of skin lesion, this skill-sharpening resource has everything clinicians need to successfully perform differential diagnosis at the microscopic level. Barnhill's Dermatopathology features a systematic, algorithmic approach that cuts through the complexity of the discipline’s traditional disease-oriented focus, providing a ready-to-use diagnostic tool that puts the entire world of dermatopathology into perspective. This classic has won acclaim as the only dermatology pathology resource that is valuable for both teaching and for clinical practice and differential diagnosis. While other references may be more exhaustive, denser, or larger, none are more clinically useful as Barnhill's Dermatopathology. With 15% of the dermatology board and recertification examination consisting of dermatopathology topics, this is also an outstanding board review tool. Filled with hundreds of color photomicrographs, the book features a clear five-part organization and nearly forty detailed chapters—each reflecting the scientifically rigorous, up-to-date insights of authors who are acknowledged experts in the field. The book’s vast scope encompasses all skin disease processes—inflammatory, non-inflammatory, infections, and proliferations (harmatomas, hyperplasias, and neoplasms, plus disorders of nails and oral mucosa). Includes Online Bonus Content Increased number of full-color images Numerous tables assist clinicians differentiate similar conditions from one another NEW CHAPTERS on laboratory methods and stains, and updated immunohistochemistry content

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Page Count

1505

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071828257

ISBN 13

9780071828253

Silent Partners

By: Michael Ting

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Silent Partners

By: Michael Ting

Amber Wakefield has a comfortable job in the human resources department at a major corporation in San Francisco. But things change when she discovers that a person on the company's payroll has been dead for three years.When she learns that an identity thief has stolen the dead person's name and is posing as an employee of her company as part of money-laundering conspiracy, Amber soon becomes the object of interest to the other conspirators, all of whom are extremely powerful. With her life at risk and her loved ones being threatened, she uncovers more pieces to the puzzle with the intent of exposing the truth about the plan. Those watching her will stop at nothing to see her dead. Amber follows clues which take her around the globe, knowing that her life is in danger as the clock ticks down.

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Page Count

380

Publisher

iUniverse

Published Date

ISBN 10

0595382452

ISBN 13

9780595382453

Cold Lessons

By: Michael McCulloch

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Cold Lessons

By: Michael McCulloch

Gil Strickland is a high school teacher in Garden City, Montana. When one of his students crashes her car into a billboard and the dead girl's friend sneezes blood all over her cheerleading uniform, Gil begins to investigate. He uncovers evidence of a cocaine ring that preys on his students, but he's in over his head. Up against gun-toting bad guys, the only weapon he's ever wielded is a red pen. Can he save his students--and himself?

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Page Count

260

Publisher

Five Star

Published Date

ISBN 10

1594145245

ISBN 13

9781594145247

Book's by Michael I. Gil

Stability of Neutral Functional Differential Equations

Stability of Neutral Functional Differential Equations

Operator Functions and Localization of Spectra

Operator Functions and Localization of Spectra

Stability of Vector Differential Delay Equations

Stability of Vector Differential Delay Equations

Glyceraldehyde-3-Phosphate Dehydrogenase (GAPDH)

Glyceraldehyde-3-Phosphate Dehydrogenase (GAPDH)

Stability of Finite and Infinite Dimensional Systems

Stability of Finite and Infinite Dimensional Systems

Explicit Stability Conditions for Continuous Systems

Explicit Stability Conditions for Continuous Systems

Operator Functions And Operator Equations

Operator Functions And Operator Equations

Barnhill's Dermatopathology, Fourth Edition

Barnhill's Dermatopathology, Fourth Edition

Silent Partners

Silent Partners

Cold Lessons

Cold Lessons

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