How Long to Read Non-Self-Adjoint Boundary Eigenvalue Problems

By R. Mennicken

How Long Does it Take to Read Non-Self-Adjoint Boundary Eigenvalue Problems?

It takes the average reader 8 hours and 54 minutes to read Non-Self-Adjoint Boundary Eigenvalue Problems by R. Mennicken

Assuming a reading speed of 250 words per minute. Learn more

Description

This monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and n-th order ordinary differential equations. 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

How long is Non-Self-Adjoint Boundary Eigenvalue Problems?

Non-Self-Adjoint Boundary Eigenvalue Problems by R. Mennicken is 518 pages long, and a total of 133,644 words.

This makes it 175% the length of the average book. It also has 163% more words than the average book.

How Long Does it Take to Read Non-Self-Adjoint Boundary Eigenvalue Problems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 12 hours and 10 minutes to read Non-Self-Adjoint Boundary Eigenvalue Problems aloud.

What Reading Level is Non-Self-Adjoint Boundary Eigenvalue Problems?

Non-Self-Adjoint Boundary Eigenvalue Problems is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Non-Self-Adjoint Boundary Eigenvalue Problems?

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