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Fixed points and topological degree in nonlinear analysis
 
Fixed points and topological degree in nonlinear analysis
Softcover ISBN:  978-0-8218-1511-3
Product Code:  SURV/11
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1239-5
Product Code:  SURV/11.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1511-3
eBook: ISBN:  978-1-4704-1239-5
Product Code:  SURV/11.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
Fixed points and topological degree in nonlinear analysis
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Fixed points and topological degree in nonlinear analysis
Softcover ISBN:  978-0-8218-1511-3
Product Code:  SURV/11
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1239-5
Product Code:  SURV/11.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-1511-3
eBook ISBN:  978-1-4704-1239-5
Product Code:  SURV/11.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 111964; 198 pp
    MSC: Primary 34; Secondary 57;

    The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond the theory of point sets in Euclidean n-space which ordinarily forms part of a course in advanced calculus.

    The methods are first developed for Euclidean n-space and applied to the study of existence and stability of periodic and almost-periodic solutions of systems of ordinary differential equations, both quasi-linear and with “large” nonlinearities. Then, after being extended to infinite-dimensional “function-spaces”, these methods are applied to integral equations, partial differential equations and further problems concerning periodic solutions of ordinary differential equations.

  • Table of Contents
     
     
    • Chapters
    • I. Topological techniques in Euclidean $n$-space
    • II. Applications to ordinary differential equations
    • III. Topological techniques in function space
    • IV. Applications to integral equations, partial differential equations and ordinary differential equations with large nonlinearities
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 111964; 198 pp
MSC: Primary 34; Secondary 57;

The topological methods based on fixed-point theory and on local topological degree which have been developed by Leray, Schauder, Nirenberg, Cesari and others for the study of nonlinear differential equations are here described in detail, beginning with elementary considerations. The reader is not assumed to have any knowledge of topology beyond the theory of point sets in Euclidean n-space which ordinarily forms part of a course in advanced calculus.

The methods are first developed for Euclidean n-space and applied to the study of existence and stability of periodic and almost-periodic solutions of systems of ordinary differential equations, both quasi-linear and with “large” nonlinearities. Then, after being extended to infinite-dimensional “function-spaces”, these methods are applied to integral equations, partial differential equations and further problems concerning periodic solutions of ordinary differential equations.

  • Chapters
  • I. Topological techniques in Euclidean $n$-space
  • II. Applications to ordinary differential equations
  • III. Topological techniques in function space
  • IV. Applications to integral equations, partial differential equations and ordinary differential equations with large nonlinearities
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.