Price loading...

Ordinary Differential Operators (Mathematical Surveys and Monographs)

Differential Equations

Price data last checked 95 day(s) ago - refreshing...

View at Amazon

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

About the Author Aiping Wang, North China Electric Power University, Beijing, China.Anton Zettl, Northern Illinois University, DeKalb, IL. Product Description In 1910 Herman Weyl published one of the most widely quoted papers of the 20th century in Analysis, which initiated the study of singular Sturm-Liouville problems. The work on the foundations of Quantum Mechanics in the 1920s and 1930s, including the proof of the spectral theorem for unbounded self-adjoint operators in Hilbert space by von Neumann and Stone, provided some of the motivation for the study of differential operators in Hilbert space with particular emphasis on self-adjoint operators and their spectrum. Since then the topic developed in several directions and many results and applications have been obtained.In this monograph the authors summarize some of these directions discussing self-adjoint, symmetric, and dissipative operators in Hilbert and Symplectic Geometry spaces. Part I of the book covers the theory of differential and quasi-differential expressions and equations, existence and uniqueness of solutions, continuous and differentiable dependence on initial data, adjoint expressions, the Lagrange Identity, minimal and maximal operators, etc. In Part II characterizations of the symmetric, self-adjoint, and dissipative boundary conditions are established. In particular, the authors prove the long standing Deficiency Index Conjecture. In Part III the symmetric and self-adjoint characterizations are extended to two-interval problems. These problems have solutions which have jump discontinuities in the interior of the underlying interval. These jumps may be infinite at singular interior points. Part IV is devoted to the construction of the regular Green's function. The construction presented differs from the usual one as found, for example, in the classical book by Coddington and Levinson.

Product Specifications

Format: hardcover
ASIN: 1470453665
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 30 January 2020
Listed Since: 25 October 2019

Barcode

No barcode data available

Ordinary Differential Operators (Mathematical Surveys and Monographs)

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators (Mathematical Surveys and Monographs)

Spectral Theory of Non-Self-Adjoint Two-Point Differential Operators (Mathematical Surveys and Monographs)

Spectral Analysis Of Differential Operators: Interplay Between Spectral And Oscillatory Properties: 7 (World Scientific Monograph Series In Mathematics)

Direct and Inverse Scattering on the Line (Mathematical Surveys and Monographs): 28

Ordinary Differential Equations: An Introduction to Nonlinear Analysis: 13 (De Gruyter Studies in Mathematics, 13)

Spectral Problems Associated with Corner Singularities of Solutions to Elliptic Equations (Mathematical Surveys and Monographs)

Nonlinear Problems in Mathematical Physics and Related Topics II: In Honor of Professor O.A. Ladyzhenskaya: 2 (International Mathematical Series, 2)

Topics in Operator Theory (Mathematical Surveys and Monographs)

Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations: 14 (Pseudo-Differential Operators, 14)

Chaos for Linear Operators and Abstract Differential Equations

Nonlinear Differential Equations in Ordered Spaces (Monographs and Surveys in Pure and Applied Mathematics)

Elementary Geometry in Hyperbolic Space: 11 (De Gruyter Studies in Mathematics, 11)

Fine Regularity of Solutions of Elliptic Partial Differential Equations (Mathematical Surveys and Monographs)

Measures and Differential Equations in Infinite-dimensional Space: v. 76 (Mathematics and its Applications)

A First Course in Spectral Theory (Graduate Studies in Mathematics)

Asymptotic Behavior of Dissipative Systems (Mathematical Surveys and Monographs)

Higher-Order Time Asymptotics of Fast Diffusion in Euclidean Space: A Dynamical Systems Approach (Memoirs of the American Mathematical Society)

The Hodge-Laplacian: Boundary Value Problems on Riemannian Manifolds (De Gruyter Studies in Mathematics): 64

Theory and Applications of Abstract Semilinear Cauchy Problems: 201 (Applied Mathematical Sciences, 201)

Offbeat Integral Geometry on Symmetric Spaces

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2): Celebrating Cora Sadosky's Life: 5 (Association for Women in Mathematics Series)

Microlocal Analysis, Sharp Spectral Asymptotics and Applications II: Functional Methods and Eigenvalue Asymptotics

Operators, Functions, and Systems: Hardy, Hankel, and Toeplitz v. 1: An Easy Reading (Mathematical Surveys and Monographs)

CRC Press: Higher Order Functional Differential Equations Book