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The Resource Advanced Functional Evolution Equations and Inclusions

Advanced Functional Evolution Equations and Inclusions

Label
Advanced Functional Evolution Equations and Inclusions
Title
Advanced Functional Evolution Equations and Inclusions
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Developments in Mathematics Ser.
Series volume
v.39
Advanced Functional Evolution Equations and Inclusions
Label
Advanced Functional Evolution Equations and Inclusions
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=3567490
Publication
Copyright
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Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface -- Introduction -- Contents -- 1 Preliminary Background -- 1.1 Notations and Definitions -- 1.2 Some Properties in Fréchet Spaces -- 1.3 Phase Spaces -- 1.4 Set-Valued Maps -- 1.5 Evolution System -- 1.6 Semigroups -- 1.6.1 C0-Semigroups -- 1.6.2 Integrated Semigroups -- 1.6.3 Extrapolated Semigroups -- 1.7 Some Fixed Point Theorems -- 2 Partial Functional Evolution Equations with Finite Delay -- 2.1 Introduction -- 2.2 Partial Functional Evolution Equations -- 2.2.1 Introduction -- 2.2.2 Main Result -- 2.2.3 An Example -- 2.2.4 Nonlocal Case -- 2.3 Neutral Functional Evolution Equations -- 2.3.1 Introduction -- 2.3.2 Main Result -- 2.3.3 An Example -- 2.3.4 Nonlocal Case -- 2.4 Partial Functional Integro-Differential Evolution Equations -- 2.4.1 Introduction -- 2.4.2 Main Result -- 2.4.3 An Example -- 2.4.4 Nonlocal Case -- 2.5 Neutral Functional Integro-Differential Evolution Equations -- 2.5.1 Introduction -- 2.5.2 Main Result -- 2.5.3 An Example -- 2.5.4 Nonlocal Case -- 2.6 Notes and Remarks -- 3 Partial Functional Evolution Equations with Infinite Delay -- 3.1 Introduction -- 3.2 Partial Functional Evolution Equations -- 3.2.1 Introduction -- 3.2.2 Existence and Uniqueness of Mild Solution -- 3.2.3 An Example -- 3.3 Controllability on Finite Interval for Partial EvolutionEquations -- 3.3.1 Introduction -- 3.3.2 Controllability of Mild Solutions -- 3.3.3 An Example -- 3.4 Controllability on Semi-infinite Interval for Partial Evolution Equations -- 3.4.1 Introduction -- 3.4.2 Controllability of Mild Solutions -- 3.4.3 An Example -- 3.5 Neutral Functional Evolution Equations -- 3.5.1 Introduction -- 3.5.2 Existence and Uniqueness of Mild Solution -- 3.5.3 An Example -- 3.6 Controllability on Finite Interval for Neutral EvolutionEquations -- 3.6.1 Introduction -- 3.6.2 Controllability of Mild Solutions -- 3.6.3 An Example
  • 3.7 Controllability on Semi-infinite Interval for Neutral Evolution Equations -- 3.7.1 Introduction -- 3.7.2 Controllability of Mild Solutions -- 3.7.3 An Example -- 3.8 Notes and Remarks -- 4 Perturbed Partial Functional Evolution Equations -- 4.1 Introduction -- 4.2 Perturbed Partial Functional Evolution Equations with Finite Delay -- 4.2.1 Introduction -- 4.2.2 Existence of Mild Solutions -- 4.2.3 An Example -- 4.3 Perturbed Neutral Functional Evolution Equations with Finite Delay -- 4.3.1 Introduction -- 4.3.2 Existence of Mild Solutions -- 4.3.3 An Example -- 4.4 Perturbed Partial Functional Evolution Equations with Infinite Delay -- 4.4.1 Introduction -- 4.4.2 Existence of Mild Solutions -- 4.4.3 An Example -- 4.5 Notes and Remarks -- 5 Partial Functional Evolution Inclusions with Finite Delay -- 5.1 Introduction -- 5.2 Partial Functional Evolution Inclusions -- 5.2.1 Introduction -- 5.2.2 Existence of Mild Solutions -- 5.2.3 An Example -- 5.3 Neutral Functional Evolution Inclusions -- 5.3.1 Introduction -- 5.3.2 Existence of Mild Solutions -- 5.3.3 An Example -- 5.4 Notes and Remarks -- 6 Partial Functional Evolution Inclusions with Infinite Delay -- 6.1 Introduction -- 6.2 Partial Functional Evolution Inclusions -- 6.2.1 Introduction -- 6.2.2 Existence of Mild Solutions -- 6.2.3 An Example -- 6.3 Neutral Functional Evolution Inclusions -- 6.3.1 Introduction -- 6.3.2 Existence of Mild Solutions -- 6.3.3 An Example -- 6.4 Notes and Remarks -- 7 Densely Defined Functional Differential Inclusions with Finite Delay -- 7.1 Introduction -- 7.2 Existence of Mild Solutions with Local Conditions -- 7.2.1 Introduction -- 7.2.2 Main Result -- 7.2.3 Existence of Extremal Mild Solutions -- 7.3 Existence of Mild Solutions with Nonlocal Conditions -- 7.3.1 Main Result -- 7.4 Application to the Control Theory -- 7.4.1 Main Result -- 7.4.2 Example
  • 7.5 Notes and Remarks -- 8 Non-densely Defined Functional Differential Inclusions with Finite Delay -- 8.1 Introduction -- 8.2 Integral Solutions of Non-densely Defined Functional Differential Inclusions with Local Conditions -- 8.2.1 Main Results -- 8.3 Extremal Integral Solutions with Local Conditions -- 8.4 Integral Solutions with Nonlocal Conditions -- 8.4.1 Main Result -- 8.5 Application to the Control Theory -- 8.5.1 Main Result -- 8.5.2 An Example -- 8.6 Notes and Remarks -- 9 Impulsive Semi-linear Functional Differential Equations -- 9.1 Introduction -- 9.2 Semi-linear Differential Evolution Equations with Impulses and Delay -- 9.2.1 Introduction -- 9.2.2 Existence of Mild Solutions -- 9.2.3 Existence of Extremal Mild Solutions -- 9.2.4 Impulsive Differential Equations with Nonlocal Conditions -- 9.2.5 An Example -- 9.3 Impulsive Semi-linear Functional Differential Equations with Non-densely Defined Operators -- 9.3.1 Introduction -- 9.3.2 Examples of Operators with Non-dense Domain -- 9.3.3 Existence of Integral Solutions -- 9.3.4 Existence of Extremal Integral Solutions -- 9.3.5 Impulsive Differential Equations with Nonlocal Conditions -- 9.3.6 Applications to Control Theory -- 9.3.7 An Example -- 9.4 Impulsive Semi-linear Neutral Functional Differential Equations with Infinite Delay -- 9.4.1 Introduction -- 9.4.2 Existence of Mild Solutions -- 9.4.3 Existence of Integral Solutions -- 9.4.4 An Example -- The Phase Space -- A First Order Neutral Equation -- 9.5 Non-densely Defined Impulsive Semi-linear Functional Differential Equations with State-Dependent Delay -- 9.5.1 Introduction -- 9.5.2 Existence of Integral Solutions -- Phase Spaces -- A First Order Partial Functional Differential Equations -- 9.6 Notes and Remarks -- 10 Impulsive Functional Differential Inclusions with Unbounded Delay -- 10.1 Introduction
  • 10.2 Densely Defined Impulsive Functional Differential Inclusions -- 10.2.1 Introduction -- 10.2.2 Mild Solutions -- 10.2.3 Extremal Mild Solutions -- 10.2.4 Example -- 10.3 Non-densely Defined Impulsive Neutral Functional Differential Inclusions -- 10.3.1 Mild Solutions -- 10.3.2 Extremal Mild Solutions -- 10.3.3 Example -- 10.4 Controllability of Impulsive Semi-linear Differential Inclusions in Fréchet Spaces -- 10.4.1 Main Result -- 10.4.2 Example -- 10.5 Notes and Remarks -- 11 Functional Differential Inclusions with Multi-valued Jumps -- 11.1 Introduction -- 11.2 Semi-linear Functional Differential Inclusions with State-Dependent Delay and Multi-valued Jump -- 11.2.1 Introduction -- 11.2.2 Existence of Integral Solutions -- 11.2.3 Main Results -- 11.2.4 Example -- 11.3 Impulsive Evolution Inclusions with Infinite Delay and Multi-valued Jumps -- 11.3.1 Introduction -- 11.3.2 Existence Results -- 11.3.3 An Example -- 11.4 Impulsive Semi-linear Differential Evolution Inclusions with Non-convex Right-Hand Side -- 11.4.1 Introduction -- 11.4.2 Existence Results -- 11.4.3 An Example -- 11.5 Impulsive Evolution Inclusions with State-Dependent Delay and Multi-valued Jumps -- 11.5.1 Introduction -- 11.5.2 Existence Results for the Convex Case -- 11.5.3 Existence Results for the Non-convex Case -- 11.5.4 An Example -- 11.6 Controllability of Impulsive Differential Evolution Inclusions with Infinite Delay -- 11.6.1 Introduction -- 11.6.2 Existence and Controllability Results -- 11.6.3 An Example -- 11.7 Notes and Remarks -- 12 Functional Differential Equations and Inclusionswith Delay -- 12.1 Introduction -- 12.2 Global Existence for Functional Differential Equations with State-Dependent Delay -- 12.2.1 Introduction -- 12.2.2 Existence of Mild Solutions -- 12.2.3 An Example
  • 12.3 Global Existence Results for Neutral Functional Differential Equations with State-Dependent Delay -- 12.3.1 Introduction -- 12.3.2 Existence of Mild Solutions -- 12.3.3 An Example -- 12.4 Global Existence Results for Functional Differential Inclusions with Delay -- 12.4.1 Introduction -- 12.4.2 Existence of Mild Solutions -- 12.4.3 An Example -- 12.5 Global Existence Results for Functional Differential Inclusions with State-Dependent Delay -- 12.5.1 Introduction -- 12.5.2 Existence of Mild Solutions -- 12.5.3 An Example -- 12.6 Notes and Remarks -- 13 Second Order Functional Differential Equationswith Delay -- 13.1 Introduction -- 13.2 Global Existence Results of Second Order Functional Differential Equations with Delay -- 13.2.1 Introduction -- 13.2.2 Existing Result for the Finite Delay Case -- 13.2.3 Existing Results for the State-Dependent Delay Case -- 13.2.4 Examples -- 13.3 Notes and Remarks -- References -- Index
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1 online resource (423 pages)
Form of item
online
Isbn
9783319177687
Media category
computer
Media MARC source
rdamedia
Media type code
c
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remote

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