Linked e-resources
Details
Table of 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
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