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| 001 | ocn162579804 | ||
| 003 | OCoLC | ||
| 005 | 20141103172227.0 | ||
| 006 | m o d | ||
| 007 | cr cn||||||||| | ||
| 008 | 070806s2003 ne ob 001 0 eng d | ||
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| 020 | _a9780444514479 | ||
| 020 | _a0444514473 | ||
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| 035 | _a(OCoLC)162579804 | ||
| 037 |
_a121082:128946 _bElsevier Science & Technology _nhttp://www.sciencedirect.com |
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| 050 | 4 |
_aQA379 _b.M45 2003eb |
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| 072 | 7 |
_aQA _2lcco |
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| 082 | 0 | 4 |
_a515/.35 _222 |
| 049 | _aTEFA | ||
| 100 | 1 | _aMennicken, Reinhard. | |
| 245 | 1 | 0 |
_aNon-self-adjoint boundary eigenvalue problems _h[electronic resource] / _cReinhard Mennicken and Manfred M�oller. |
| 250 | _a1st ed. | ||
| 260 |
_aAmsterdam ; _aBoston : _bNorth-Holland, _c2003. |
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| 300 | _a1 online resource (xviii, 500 p.) | ||
| 490 | 1 |
_aNorth-Holland mathematics studies, _x0304-0208 ; _v192 |
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| 520 | _aThis monograph provides a comprehensive treatment of expansion theorems for regular systems of first order differential equations and <IT>n</IT>-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 <IT>n</IT>-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: & bull; Expansion Theorems for Ordinary Differential Equations & bull; Discusses Applications to Problems from Physics and Engineering & bull; Thorough Investigation of Asymptotic Fundamental Matrices and Systems & bull; Provides a Comprehensive Treatment & bull; Uses the Contour Integral Method & bull; Represents the Problems as Bounded Operators & bull; Investigates Canonical Systems of Eigen- and Associated Vectors for Operator Functions. | ||
| 504 | _aIncludes bibliographical references (p. 475-495) and index. | ||
| 588 | _aDescription based on print version record. | ||
| 650 | 0 | _aBoundary value problems. | |
| 650 | 0 | _aNonselfadjoint operators. | |
| 650 | 0 | _aEigenvalues. | |
| 650 | 0 | _aDifferential equations. | |
| 650 | 6 | _aProbl�emes aux limites. | |
| 650 | 6 | _aOp�erateurs non auto-adjoints. | |
| 650 | 6 | _aValeurs propres. | |
| 650 | 6 | _a�Equations diff�erentielles. | |
| 650 | 7 |
_aProblemas de contorno. _2larpcal |
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| 650 | 7 |
_aOperadores. _2larpcal |
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| 650 | 7 |
_aEspa�cos de sobolev. _2larpcal |
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| 650 | 7 |
_aEqua�c�oes diferenciais. _2larpcal |
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| 650 | 7 |
_aBoundary value problems. _2fast _0(OCoLC)fst00837122 |
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| 650 | 7 |
_aDifferential equations. _2fast _0(OCoLC)fst00893446 |
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| 650 | 7 |
_aEigenvalues. _2fast _0(OCoLC)fst00904031 |
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| 650 | 7 |
_aNonselfadjoint operators. _2fast _0(OCoLC)fst01038954 |
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| 655 | 4 | _aElectronic books. | |
| 700 | 1 |
_aM�oller, Manfred, _cDr. rer. nat. habil. |
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| 776 | 0 | 8 |
_iPrint version: _aMennicken, Reinhard. _tNon-self-adjoint boundary eigenvalue problems. _b1st ed. _dAmsterdam ; Boston : North-Holland, 2003 _z0444514473 _z9780444514479 _w(DLC) 2003054700 _w(OCoLC)52334745 |
| 830 | 0 |
_aNorth-Holland mathematics studies ; _v192. _x0304-0208 |
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| 856 | 4 | 0 |
_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444514479 |
| 856 | 4 |
_uhttp://www.sciencedirect.com/science/publication?issn=03040208&volume=192 _3Volltext |
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_c21902 _d21902 |
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