Coverart for item
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

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
Contributor
Subject
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 fixed-point 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
Instantiates
Publication
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 Half-Axis; 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 q-Integral 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 Semi-Fredholm 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
Publication
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 Half-Axis; 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 q-Integral 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 Semi-Fredholm 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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