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This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equati… Read more
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Key features:• Expansion Theorems for Ordinary Differential Equations• Discusses Applications to Problems from Physics and Engineering• Thorough Investigation of Asymptotic Fundamental Matrices and Systems• Provides a Comprehensive Treatment• Uses the Contour Integral Method• Represents the Problems as Bounded Operators• Investigates Canonical Systems of Eigen- and Associated Vectors for Operator Functions
CHAPTER I: Operator functions in Banach spaces. CHAPTER II: First order systems of ordinary differential equations. CHAPTER III: Boundary eigenvalue problems for first order systems. CHAPTER IV: Birkhoff regular and Stone regular boundary eigenvalue problems. CHAPTER V: Expansion theorems for regular boundary eigenvalue problems for first order systems. CHAPTER VI: n-th order differential equations. CHAPTER VII: Regular boundary eigenvalue problems for n-th order equations. CHAPTER VIII: The differential equation Kn = &lgr;HnCHAPTER IX: n-th order differential equations and n-fold expansions. CHAPTER X: Applications.
APPENDIX A. Bibliography.Notations. Index.
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