The Resource Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors
Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors
Resource Information
The item Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.This item is available to borrow from 1 library branch.
Resource Information
The item Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Massey University Library, University of New Zealand.
This item is available to borrow from 1 library branch.
 Summary
 This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixedpoint theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book’s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus
 Language
 eng
 Extent
 1 online resource
 Note
 Includes index
 Contents

 Preface; Contents; Editors and Contributors; 1 Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real HalfAxis; 1.1 Introduction; 1.2 Notation, Definitions, and Auxiliary Facts; 1.3 Measures of Noncompactness in the Space BC ( mathbbR+ ); 1.4 Measures of Noncompactness in the Space of Continuous Tempered Functions; 1.5 Existence of Solutions of a Quadratic Hammerstein Integral Equation in the Class of Functions Vanishing at Infinity
 1.6 Existence of Solutions of a Neutral Differential Equation with Deviating Argument in the Space of Continuous Tempered Functions1.7 Solvability of a Functional Integral Equation of Fractional Order in the Class of Functions Having Limits at Infinity; 1.8 Attractivity and Asymptotic Stability of Solutions of Functional Integral Equations; References; 2 Measures of Noncompactness and Their Applications; 2.1 Introduction; 2.2 Standard Measures of Noncompactness; 2.2.1 The Kuratowski Measure of Noncompactness; 2.2.2 The Hausdorff Measure of Noncompactness
 2.2.3 The Istrǎtescu Measure of Noncompactness2.2.4 Inner Hausdorff Measure of Noncompactness; 2.3 Measures of Noncompactness in Some Spaces; 2.3.1 Hausdorff Measure of Noncompactness in the Space C([a,b]; mathbbR); 2.3.2 Hausdorff Measure of Noncompactness in the Space Lp([a,b]; mathbbR); 2.3.3 Hausdorff Measure of Noncompactness in Banach Spaces with Schauder Bases; 2.3.4 Inner Measure of Noncompactness in Paranormed Spaces; 2.4 Constructing Measures of Noncompactness; 2.4.1 Measure of Noncompactness in C([a,b]; mathbbR); 2.4.2 Some Measures of Noncompactness in BC(mathbbR+; mathbbR)
 2.6.1 An Existence Result for a Class of Nonlinear Integral Equations of Fractional Orders2.6.2 Solvability of an Implicit Fractional Integral Equation; 2.6.3 qIntegral Equations of Fractional Orders; References; 3 On Some Results Using Measures of Noncompactness; 3.1 Introduction; 3.2 Notation and Preliminaries; 3.3 The Kuratowski Measure of Noncompactness; 3.4 The Hausdorff Measure of Noncompactness; 3.5 The Istrǎţesku Measure of Noncompactness; 3.6 The Axiomatic Approach of Banaś and Goebel; 3.7 Operators; 3.8 An Equivalence Problem; 3.9 Fredholm and SemiFredholm Operators
 Isbn
 9789811037221
 Label
 Advances in nonlinear analysis via the concept of measure of noncompactness
 Title
 Advances in nonlinear analysis via the concept of measure of noncompactness
 Statement of responsibility
 Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors
 Language
 eng
 Summary
 This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixedpoint theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book’s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus
 Dewey number

 515/.7248
 510
 Index
 index present
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate
 1950
 http://library.link/vocab/relatedWorkOrContributorName

 Banas, Jozef
 Jleli, Mohamed,
 Mursaleen, M.,
 Samet, Bessem,
 Vetro, Calogero,
 http://library.link/vocab/subjectName
 Nonlinear theories
 Label
 Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors
 Note
 Includes index
 Antecedent source
 unknown
 Color
 multicolored
 Contents

 Preface; Contents; Editors and Contributors; 1 Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real HalfAxis; 1.1 Introduction; 1.2 Notation, Definitions, and Auxiliary Facts; 1.3 Measures of Noncompactness in the Space BC ( mathbbR+ ); 1.4 Measures of Noncompactness in the Space of Continuous Tempered Functions; 1.5 Existence of Solutions of a Quadratic Hammerstein Integral Equation in the Class of Functions Vanishing at Infinity
 1.6 Existence of Solutions of a Neutral Differential Equation with Deviating Argument in the Space of Continuous Tempered Functions1.7 Solvability of a Functional Integral Equation of Fractional Order in the Class of Functions Having Limits at Infinity; 1.8 Attractivity and Asymptotic Stability of Solutions of Functional Integral Equations; References; 2 Measures of Noncompactness and Their Applications; 2.1 Introduction; 2.2 Standard Measures of Noncompactness; 2.2.1 The Kuratowski Measure of Noncompactness; 2.2.2 The Hausdorff Measure of Noncompactness
 2.2.3 The Istrǎtescu Measure of Noncompactness2.2.4 Inner Hausdorff Measure of Noncompactness; 2.3 Measures of Noncompactness in Some Spaces; 2.3.1 Hausdorff Measure of Noncompactness in the Space C([a,b]; mathbbR); 2.3.2 Hausdorff Measure of Noncompactness in the Space Lp([a,b]; mathbbR); 2.3.3 Hausdorff Measure of Noncompactness in Banach Spaces with Schauder Bases; 2.3.4 Inner Measure of Noncompactness in Paranormed Spaces; 2.4 Constructing Measures of Noncompactness; 2.4.1 Measure of Noncompactness in C([a,b]; mathbbR); 2.4.2 Some Measures of Noncompactness in BC(mathbbR+; mathbbR)
 2.6.1 An Existence Result for a Class of Nonlinear Integral Equations of Fractional Orders2.6.2 Solvability of an Implicit Fractional Integral Equation; 2.6.3 qIntegral Equations of Fractional Orders; References; 3 On Some Results Using Measures of Noncompactness; 3.1 Introduction; 3.2 Notation and Preliminaries; 3.3 The Kuratowski Measure of Noncompactness; 3.4 The Hausdorff Measure of Noncompactness; 3.5 The Istrǎţesku Measure of Noncompactness; 3.6 The Axiomatic Approach of Banaś and Goebel; 3.7 Operators; 3.8 An Equivalence Problem; 3.9 Fredholm and SemiFredholm Operators
 Control code
 ocn984692260
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9789811037221
 Level of compression
 unknown
 Note
 SpringerLink
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)984692260
 Label
 Advances in nonlinear analysis via the concept of measure of noncompactness, Józef Banaś, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro, editors
 Note
 Includes index
 Antecedent source
 unknown
 Color
 multicolored
 Contents

 Preface; Contents; Editors and Contributors; 1 Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real HalfAxis; 1.1 Introduction; 1.2 Notation, Definitions, and Auxiliary Facts; 1.3 Measures of Noncompactness in the Space BC ( mathbbR+ ); 1.4 Measures of Noncompactness in the Space of Continuous Tempered Functions; 1.5 Existence of Solutions of a Quadratic Hammerstein Integral Equation in the Class of Functions Vanishing at Infinity
 1.6 Existence of Solutions of a Neutral Differential Equation with Deviating Argument in the Space of Continuous Tempered Functions1.7 Solvability of a Functional Integral Equation of Fractional Order in the Class of Functions Having Limits at Infinity; 1.8 Attractivity and Asymptotic Stability of Solutions of Functional Integral Equations; References; 2 Measures of Noncompactness and Their Applications; 2.1 Introduction; 2.2 Standard Measures of Noncompactness; 2.2.1 The Kuratowski Measure of Noncompactness; 2.2.2 The Hausdorff Measure of Noncompactness
 2.2.3 The Istrǎtescu Measure of Noncompactness2.2.4 Inner Hausdorff Measure of Noncompactness; 2.3 Measures of Noncompactness in Some Spaces; 2.3.1 Hausdorff Measure of Noncompactness in the Space C([a,b]; mathbbR); 2.3.2 Hausdorff Measure of Noncompactness in the Space Lp([a,b]; mathbbR); 2.3.3 Hausdorff Measure of Noncompactness in Banach Spaces with Schauder Bases; 2.3.4 Inner Measure of Noncompactness in Paranormed Spaces; 2.4 Constructing Measures of Noncompactness; 2.4.1 Measure of Noncompactness in C([a,b]; mathbbR); 2.4.2 Some Measures of Noncompactness in BC(mathbbR+; mathbbR)
 2.6.1 An Existence Result for a Class of Nonlinear Integral Equations of Fractional Orders2.6.2 Solvability of an Implicit Fractional Integral Equation; 2.6.3 qIntegral Equations of Fractional Orders; References; 3 On Some Results Using Measures of Noncompactness; 3.1 Introduction; 3.2 Notation and Preliminaries; 3.3 The Kuratowski Measure of Noncompactness; 3.4 The Hausdorff Measure of Noncompactness; 3.5 The Istrǎţesku Measure of Noncompactness; 3.6 The Axiomatic Approach of Banaś and Goebel; 3.7 Operators; 3.8 An Equivalence Problem; 3.9 Fredholm and SemiFredholm Operators
 Control code
 ocn984692260
 Dimensions
 unknown
 Extent
 1 online resource
 File format
 unknown
 Form of item
 online
 Isbn
 9789811037221
 Level of compression
 unknown
 Note
 SpringerLink
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)984692260
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