Non-Self-Adjoint Boundary Eigenvalue Problems
By R. Mennicken and M. Möller
()
Currently unavailable
Currently unavailable
About this ebook
In 10 chapters and one appendix, it provides a comprehensive treatment from abstract foundations to applications in physics and engineering. The focus is on non-self-adjoint problems. Bounded operators are associated to these problems, and Chapter 1 provides an in depth investigation of eigenfunctions and associated functions for bounded Fredholm valued operators in Banach spaces. Since every n-th order differential equation is equivalent
to a first order system, the main techniques are developed for systems. Asymptotic fundamental
systems are derived for a large class of systems of differential equations. Together with boundary
conditions, which may depend polynomially on the eigenvalue parameter, this leads to the definition of Birkhoff and Stone regular eigenvalue problems. An effort is made to make the conditions relatively easy verifiable; this is illustrated with several applications in chapter 10.
The contour integral method and estimates of the resolvent are used to prove expansion theorems.
For Stone regular problems, not all functions are expandable, and again relatively easy verifiable
conditions are given, in terms of auxiliary boundary conditions, for functions to be expandable.
Chapter 10 deals exclusively with applications; in nine sections, various concrete problems such as
the Orr-Sommerfeld equation, control of multiple beams, and an example from meteorology are investigated.
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
Related to Non-Self-Adjoint Boundary Eigenvalue Problems
Titles in the series (82)
Hewitt-Nachbin Spaces Rating: 0 out of 5 stars0 ratingsBifurcation of Maps and Applications Rating: 0 out of 5 stars0 ratingsProbabilities and Potential, A Rating: 0 out of 5 stars0 ratingsOpe¦rateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert Rating: 0 out of 5 stars0 ratingsInfinite Dimensional Holomorphy and Applications Rating: 0 out of 5 stars0 ratingsGraphs, Groups and Surfaces Rating: 0 out of 5 stars0 ratingsHopf Spaces Rating: 0 out of 5 stars0 ratingsGlobal Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient Rating: 0 out of 5 stars0 ratingsRecent Progress of Algebraic Geometry in Japan Rating: 0 out of 5 stars0 ratingsLocalization of Nilpotent Groups and Spaces Rating: 0 out of 5 stars0 ratingsTransmutation and Operator Differential Equations Rating: 0 out of 5 stars0 ratingsHolomorphic Maps and Invariant Distances Rating: 0 out of 5 stars0 ratingsGraphs and Questionnaires Rating: 0 out of 5 stars0 ratingsDeveloping Mathematics in Third World Countries: Proceedings of the international conference held in Khartoum, March 6-9, 1978 Rating: 0 out of 5 stars0 ratingsNonlinear Partial Differential Equations: Sequential and weak solutions Rating: 0 out of 5 stars0 ratingsSome Applications of Topological K-Theory Rating: 0 out of 5 stars0 ratingsIntroduction to Algebraic Geometry and Algebraic Groups Rating: 0 out of 5 stars0 ratingsNonlinear Problems: Present and Future Rating: 0 out of 5 stars0 ratingsTransform Analysis of Generalized Functions Rating: 0 out of 5 stars0 ratingsBiomathematics in 1980: Papers presented at a workshop on biomathematics: current status and future perspective, Salerno, April 1980 Rating: 0 out of 5 stars0 ratingsTopics in Arithmetical Functions: Asymptotic formulae for sums of reciprocals of arithmetical functions and related results Rating: 0 out of 5 stars0 ratingsCohomology of Completions Rating: 0 out of 5 stars0 ratingsApproximation of Continuously Differentiable Functions Rating: 0 out of 5 stars0 ratings
Related ebooks
Hilbert Space Methods in Partial Differential Equations Rating: 4 out of 5 stars4/5Variational Methods for Boundary Value Problems for Systems of Elliptic Equations Rating: 0 out of 5 stars0 ratingsFirst-Order Partial Differential Equations, Vol. 1 Rating: 5 out of 5 stars5/5Power Geometry in Algebraic and Differential Equations Rating: 0 out of 5 stars0 ratingsDifference Equations in Normed Spaces: Stability and Oscillations Rating: 0 out of 5 stars0 ratingsDifferential Equations Rating: 4 out of 5 stars4/5Linear and Combinatorial Optimization in Ordered Algebraic Structures Rating: 0 out of 5 stars0 ratingsFunction Theoretic Methods in Partial Differential Equations Rating: 0 out of 5 stars0 ratingsFirst Order Elliptic Systems: A Function Theoretic Approach Rating: 0 out of 5 stars0 ratingsElementary Functional Analysis Rating: 4 out of 5 stars4/5Introduction to Singular Perturbations Rating: 0 out of 5 stars0 ratingsLinear Algebra and Linear Operators in Engineering: With Applications in Mathematica® Rating: 0 out of 5 stars0 ratingsAn Introduction to Ordinary Differential Equations Rating: 4 out of 5 stars4/5The Special Functions and Their Approximations Rating: 0 out of 5 stars0 ratingsStructural Acoustics and Vibration: Mechanical Models, Variational Formulations and Discretization Rating: 0 out of 5 stars0 ratingsIntegral Equations Rating: 0 out of 5 stars0 ratingsPartial Differential Equations of Parabolic Type Rating: 0 out of 5 stars0 ratingsOscillations in Nonlinear Systems Rating: 5 out of 5 stars5/5Seminar on Singularities of Solutions of Linear Partial Differential Equations. (AM-91), Volume 91 Rating: 3 out of 5 stars3/5Numerical Analysis of Wavelet Methods Rating: 0 out of 5 stars0 ratingsInterpolation and Extrapolation Optimal Designs 2: Finite Dimensional General Models Rating: 0 out of 5 stars0 ratingsApproximation and Optimization of Discrete and Differential Inclusions Rating: 0 out of 5 stars0 ratingsOrdinary Differential Equations: Introduction to the Theory of Ordinary Differential Equations in the Real Domain Rating: 0 out of 5 stars0 ratingsStudies in the Theory of Random Processes Rating: 0 out of 5 stars0 ratingsThe Ambient Metric (AM-178) Rating: 0 out of 5 stars0 ratingsCalculus of Variations Rating: 4 out of 5 stars4/5A Rapid Introduction to Adaptive Filtering Rating: 0 out of 5 stars0 ratingsShort-Memory Linear Processes and Econometric Applications Rating: 0 out of 5 stars0 ratingsDifferential Equations for Engineers and Scientists Rating: 0 out of 5 stars0 ratingsNonlinear Problems in Abstract Cones Rating: 0 out of 5 stars0 ratings
Mathematics For You
Mental Math Secrets - How To Be a Human Calculator Rating: 5 out of 5 stars5/5Basic Math & Pre-Algebra For Dummies Rating: 4 out of 5 stars4/5Game Theory: A Simple Introduction Rating: 4 out of 5 stars4/5Geometry For Dummies Rating: 5 out of 5 stars5/5Algebra - The Very Basics Rating: 5 out of 5 stars5/5Quantum Physics for Beginners Rating: 4 out of 5 stars4/5Precalculus: A Self-Teaching Guide Rating: 5 out of 5 stars5/5Introducing Game Theory: A Graphic Guide Rating: 4 out of 5 stars4/5The Everything Guide to Algebra: A Step-by-Step Guide to the Basics of Algebra - in Plain English! Rating: 4 out of 5 stars4/5See Ya Later Calculator: Simple Math Tricks You Can Do in Your Head Rating: 4 out of 5 stars4/5Calculus Made Easy Rating: 4 out of 5 stars4/5Is God a Mathematician? Rating: 4 out of 5 stars4/5The Golden Ratio: The Divine Beauty of Mathematics Rating: 5 out of 5 stars5/5My Best Mathematical and Logic Puzzles Rating: 5 out of 5 stars5/5The Little Book of Mathematical Principles, Theories & Things Rating: 3 out of 5 stars3/5Algebra I Workbook For Dummies Rating: 3 out of 5 stars3/5Relativity: The special and the general theory Rating: 5 out of 5 stars5/5The Everything Everyday Math Book: From Tipping to Taxes, All the Real-World, Everyday Math Skills You Need Rating: 5 out of 5 stars5/5The Thirteen Books of the Elements, Vol. 1 Rating: 0 out of 5 stars0 ratingsA Mind for Numbers | Summary Rating: 4 out of 5 stars4/5Algebra II For Dummies Rating: 3 out of 5 stars3/5Real Estate by the Numbers: A Complete Reference Guide to Deal Analysis Rating: 0 out of 5 stars0 ratingsSneaky Math: A Graphic Primer with Projects Rating: 0 out of 5 stars0 ratingsACT Math & Science Prep: Includes 500+ Practice Questions Rating: 3 out of 5 stars3/5
Reviews for Non-Self-Adjoint Boundary Eigenvalue Problems
0 ratings0 reviews