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Selected Methods for Nonlinear Boundary Value Problems by Bogdan Przeradzki is a nonfiction available to read on EtoBox.

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SELECTED METHODS FOR NONLINEAR BOUNDARY VALUE PROBLEMS, BOGDAN PRZERADZKI, LODZ UNIVERSITY OF TECHNOLOGY MONOGRAPH 2021 Preface Contents Chapter 1 Introduction Chapter 2 Linear BVPs for ODEs Chapter 3 Topological methods of nonlinear analysis 3.1 Metric fixed points theorems 3.2 Topological fixed points theorems infinite dimension 3.3 Leray-Schauder theory Chapter 4 Nonlinear BVPs for ODEs 4.1 Using topological degree to simple BVPs 4.2 A priori bounds for derivatives 4.3 Lower and upper solutions Chapter 5 Resonant problems 5.1 Physical and mathematical notions of resonance 5.2 Perturbation method 5.3 Coincidence degree Chapter 6 BVP on unbounded domains 6.1 Nonresonant example 6.2 Resonant example 6.3 Perturbation method revisited Chapter 7 Caratheodory solutions Chapter 8 Positive solutions Chapter 9 Variational methods 9.1 Introduction 9.2 Minima of functionals 9.3 Saddle points Chapter 10 Multiple solutions 10.1 Standard methods 10.2 Applications of the Morse Theory Chapter 11 BVPs for ODEs in Banach spaces Chapter 12 Nonlinear BVPs for PDEs Chapter 13 Miscellaneous exercises Bibliography Index

Who reads Selected Methods for Nonlinear Boundary Value Problems?

Author

Bogdan Przeradzki

Publisher

Lodz University of Technology

Published

2021

Language

EN

ISBN

9788366741065

Category

nonfiction