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Advances in nonlinear analysis via the concept of measure of noncompactness

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Advances in nonlinear analysis via the concept of measure of noncompactness/ edited by Jozef Banas ... [et al.].
other author:	Banas, Jozef.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xiii, 487 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Nonlinear theories. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-3722-1
ISBN:	9789811037221

Advances in nonlinear analysis via the concept of measure of noncompactness
Advances in nonlinear analysis via the concept of measure of noncompactness[electronic resource] /edited by Jozef Banas ... [et al.]. - Singapore :Springer Singapore :2017. - xiii, 487 p. :ill., digital ;24 cm.

Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis -- Measures of Noncompactness and Their Applications -- On Some Results Using Measures of Noncompactness -- Space of Functions with Growths Tempered by a Modulus of Continuity -- Measure of Noncompactness in Functional Fractional Calculus -- Measures of Weak Noncompactness and Fixed Points -- The Class of F-Contraction Mappings with a Measure of Noncompactness -- On The Measure of Non-Compactness in Banach Spaces and Application to the Theory of Differential and Integral Equations -- Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces -- Boundary Value Problems for Fractional Differential Equations and Inclusions in Banach Spaces -- On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces -- On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order -- On the Approximation of Solutions to a Fixed Point Problem with Inequality Constraints in a Banach Space Partially Ordered by a Cone -- A Short Survey on Dislocated Metric Spaces via Fixed Point Theory.

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.

ISBN: 9789811037221

Standard No.: 10.1007/978-981-10-3722-1doiSubjects--Topical Terms:

527937
Nonlinear theories.

LC Class. No.: QA427

Dewey Class. No.: 515.7248

Advances in nonlinear analysis via the concept of measure of noncompactness
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505 0 $a Measures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis -- Measures of Noncompactness and Their Applications -- On Some Results Using Measures of Noncompactness -- Space of Functions with Growths Tempered by a Modulus of Continuity -- Measure of Noncompactness in Functional Fractional Calculus -- Measures of Weak Noncompactness and Fixed Points -- The Class of F-Contraction Mappings with a Measure of Noncompactness -- On The Measure of Non-Compactness in Banach Spaces and Application to the Theory of Differential and Integral Equations -- Partial Hadamard-Stieltjes Fractional Integral Equations in Banach Spaces -- Boundary Value Problems for Fractional Differential Equations and Inclusions in Banach Spaces -- On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces -- On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order -- On the Approximation of Solutions to a Fixed Point Problem with Inequality Constraints in a Banach Space Partially Ordered by a Cone -- A Short Survey on Dislocated Metric Spaces via Fixed Point Theory.
520 $a 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.
650 0 $a Nonlinear theories. $3 527937
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Mathematical Modeling and Industrial Mathematics. $3 669172
650 2 4 $a Integral Equations. $3 672359
650 2 4 $a Ordinary Differential Equations. $3 670854
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 671353
650 2 4 $a Operator Theory. $3 672127
700 1 $a Banas, Jozef. $3 1141735
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-3722-1
950 $a Mathematics and Statistics (Springer-11649)