Completeness of root functions of regular differential operators
著者
書誌事項
Completeness of root functions of regular differential operators
（Pitman monographs and surveys in pure and applied mathematics, 71）
Longman Scientific & Technical , John Wiley & Sons, 1994
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注記
Includes bibliographical references (p. 234-239) and indexes
内容説明・目次
内容説明
The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechanics and physics. It deals mainly with bounded domains with smooth boundaries, but also considers elliptic boundary value problems in tube domains, i.e. in non-smooth domains. This volume will be of particular value to those working in differential equations, functional analysis, and equations of mathematical physics.
目次
- Part 1 Auxiliary results: general notions from functional analysis
- interpolation of spaces and operators. Part 2 Unbounded polynomial operator pencils: completeness of root vectors of an operator from the class rhop(H)
- completeness of root vectors of an unbounded operator
- n-fold completeness of root vectors of an unbounded polynomial operator pencil
- n-fold completeness of root vectors of a system of unbounded polynomial operator pencils
- the completeness of root vectors of the system of unbounded linear operator pencils. Part 3 In principal the multipoint problem for ordinary differential equation with polynomial parameter: p-regular functional conditions
- coerciveness of principally of multipoint problems for ordinary differential equations with a polynomial parameter
- fold completeness of root functions for in principally multipoint problems for ordinary differential equations with a polynomial parameter
- completeness of root functions for in principally multipoint problems for ordinary differential equations with a linear parameter. Part 4 Principally elliptic boundary-value problem with a polynomial parameter: principally regular elliptic boundary-value problems with a polynomial parameter
- irregular elliptic boundary-value problems for the Laplace equations. Part 5 Differential-operator equations: differential-operator equations on the whole axis
- Cauchy problem for parabolic differential-operator equations
- boundary-value problems for elliptic differential - operator equations
- completeness of elementary solutions of differential-operator equations. Part 6 Partial differential equations: principally initial-boundary value problems for parabolic equations
- boundary-value problems for elliptic equations of the 4-th order.
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