Topological fixed point principles for boundary value problems / by Jan Andres and Lech Górniewicz.

Format:

Book

Author/Creator:

Andres, Jan.

Contributor:

Górniewicz, Lech.

Rosengarten Family Fund.

Series:

Topological fixed point theory and its applications ; v. 1.

Topological fixed point theory and its applications ; v. 1

Language:

English

Subjects (All):

Fixed point theory.

Boundary value problems.

Physical Description:

xv, 761 pages : illustrations ; 25 cm.

Place of Publication:

Dordrecht ; Boston : Kluwer Academic Publishers, [2003]

Contents:

Scheme for the relationship of single sections xv

Chapter I Theoretical background 1

I.1. Structure of locally convex spaces 1

I.2. ANR-spaces and AR-spaces 16

I.3. Multivalued mappings and their selections 25

I.4. Admissible mappings 66

I.5. Special classes of admissible mappings 72

I.6. Lefschetz fixed point theorem for admissible mappings 88

I.7. Lefschetz fixed point theorem for condensing mappings 97

I.8. Fixed point index and topological degree for admissible maps in locally convex spaces 99

I.9. Noncompact case 106

I.10. Nielsen number 107

I.11. Nielsen number: noncompact case 120

II.1. Topological structure of fixed point sets: Aronszajn-Browder-Gupta-type results 127

II.2. Topological structure of fixed point sets: inverse limit method 131

II.3. Topological dimension of fixed point sets 136

II.4. Topological essentiality 138

II.5. Relative theories of Lefschetz and Nielsen 143

II.6. Periodic point principles 148

II.7. Fixed point index for condensing maps 160

II.8. Approximation methods in the fixed point theory of multivalued mappings 164

II.9. Topological degree defined by means of approximation methods 174

II.10. Continuation principles based on a fixed point index 184

II.11. Continuation principles based on a coincidence index 195

Chapter III Application to differential equations and inclusions 233

III.1. Topological approach to differential equations and inclusions 233

III.2. Topological structure of solution sets: initial value problems 249

III.3. Topological structure of solution sets: boundary value problems 275

III.4. Poincare operators 290

III.5. Existence results 306

III.6. Multiplicity results 350

III.7. Wazewski-type results 392

III.8. Bounding and guiding functions approach 421

III.9. Infinitely many subharmonics 496

III.10. Almost-periodic problems 534

A.1. Almost-periodic single-valued and multivalued functions 599

A.2. Derivo-periodic single-valued and multivalued functions 657

A.3. Fractals and multivalued fractals 671.

Notes:

Includes bibliographical references (pages 697-753) and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Rosengarten Family Fund.

ISBN:

1402013809

OCLC:

52188658