The Resource Methods in nonlinear integral equations, by Radu Precup, (electronic resource)

Methods in nonlinear integral equations, by Radu Precup, (electronic resource)

Label
Methods in nonlinear integral equations
Title
Methods in nonlinear integral equations
Statement of responsibility
by Radu Precup
Creator
Subject
Genre
Language
eng
Summary
Methods in Nonlinear Integral Equations presents several extremely fruitful methods for the analysis of systems and nonlinear integral equations. They include: fixed point methods (the Schauder and Leray-Schauder principles), variational methods (direct variational methods and mountain pass theorems), and iterative methods (the discrete continuation principle, upper and lower solutions techniques, Newton's method and the generalized quasilinearization method). Many important applications for several classes of integral equations and, in particular, for initial and boundary value problems, are presented to complement the theory. Special attention is paid to the existence and localization of solutions in bounded domains such as balls and order intervals. The presentation is essentially self-contained and leads the reader from classical concepts to current ideas and methods of nonlinear analysis
Cataloging source
E7B
http://library.link/vocab/creatorName
Precup, Radu
Dewey number
515.7248
Index
index present
LC call number
QA329.8
LC item number
.P74 2002eb
Literary form
non fiction
Nature of contents
  • standards specifications
  • bibliography
http://library.link/vocab/subjectName
  • Nonlinear operators
  • Nonlinear integral equations
  • Differential equations, Nonlinear
  • Differential equations, Nonlinear
  • Nonlinear integral equations
  • Nonlinear operators
Label
Methods in nonlinear integral equations, by Radu Precup, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-015-9986-3
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
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 -- Notation -- Overview -- I: Fixed Point Methods. 1. Compactness in Metric Spaces. 2. Completely Continuous Operators on Banach Spaces. 3. Continuous Solutions of Integral Equations via Schauder's Theorem. 4. The Leray-Schauder Principle and Applications. 5. Existence Theory in LP Spaces. References: Part I -- II: Variational Methods. 6. Positive Self-Adjoint Operators in Hilbert Spaces. 7. The Frchet Derivative and Critical Points of Extremum. 8. The Mountain Pass Theorem and Critical Points of Saddle Type. 9. Nontrivial Solutions of Abstract Hammerstein Equations. References Part II -- III: Iterative Methods. 10. The Discrete Continuation Principle. 11. Monotone Iterative Methods. 12. Quadratically Convergent Methods. References: Part III -- Index
Dimensions
unknown
Extent
1 online resource (xiv, 218 pages)
Form of item
online
Isbn
9789048161140
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
  • (OCoLC)847549154
  • (OCoLC)ocn847549154
Label
Methods in nonlinear integral equations, by Radu Precup, (electronic resource)
Link
http://dx.doi.org/10.1007/978-94-015-9986-3
Publication
Bibliography note
Includes bibliographical references and index
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 -- Notation -- Overview -- I: Fixed Point Methods. 1. Compactness in Metric Spaces. 2. Completely Continuous Operators on Banach Spaces. 3. Continuous Solutions of Integral Equations via Schauder's Theorem. 4. The Leray-Schauder Principle and Applications. 5. Existence Theory in LP Spaces. References: Part I -- II: Variational Methods. 6. Positive Self-Adjoint Operators in Hilbert Spaces. 7. The Frchet Derivative and Critical Points of Extremum. 8. The Mountain Pass Theorem and Critical Points of Saddle Type. 9. Nontrivial Solutions of Abstract Hammerstein Equations. References Part II -- III: Iterative Methods. 10. The Discrete Continuation Principle. 11. Monotone Iterative Methods. 12. Quadratically Convergent Methods. References: Part III -- Index
Dimensions
unknown
Extent
1 online resource (xiv, 218 pages)
Form of item
online
Isbn
9789048161140
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Specific material designation
remote
System control number
  • (OCoLC)847549154
  • (OCoLC)ocn847549154

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