Completeness of Root Functions of Regular Differential Operators

Sasun Yakubov (Autor)

Buch | Hardcover

258 Seiten

1993
CRC Press (Verlag)
978-0-582-23692-9 (ISBN)

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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.

Yakubov, Sasun

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.

Erscheint lt. Verlag	20.12.1993
Reihe/Serie	Monographs and Surveys in Pure and Applied Mathematics
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	544 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-582-23692-4 / 0582236924
ISBN-13	978-0-582-23692-9 / 9780582236929
Zustand	Neuware