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OverviewINTRODUCTION . . . . . . xiii § 1. LINEAR EQUATIONS. BASIC NOTIONS . 3 § 2. EQUATIONS WITH A CLOSED OPERATOR 6 § 3. THE ADJOINT EQUATION . . . . . . 10 § 4. THE EQUATION ADJOINT TO THE FACTORED EQUATION. 17 § 5. AN EQUATION WITH A CLOSED OPERATOR WHICH HAS A DENSE DOMAIN 18 NORMALLY SOLVABLE EQUATIONS WITH FINITE DIMENSIONAL KERNEL. 22 § 6. A PRIORI ESTIMATES .. . . . . . 24 § 7. EQUATIONS WITH FINITE DEFECT . . . 27 § 8. § 9. SOME DIFFERENT ADJOINT EQUATIONS . 30 § 10. LINEAR TRANSFORMATIONS OF EQUATIONS 33 TRANSFORMATIONS OF d-NORMAL EQUATIONS . 38 § 11. § 12. NOETHERIAN EQUATIONS. INDEX. . . . . . 42 § 13. EQUATIONS WITH OPERATORS WHICH ACT IN A SINGLE SPACE 44 § 14. FREDHOLM EQUATIONS. REGULARIZATION OF EQUATIONS 46 § 15. LINEAR CHANGES OF VARIABLE . . . . . . . . 50 § 16. STABILITY OF THE PROPERTIES OF AN EQUATION 53 OVERDETERMINED EQUATIONS 59 § 17. § 18. UNDETERMINED EQUATIONS 62 § 19. INTEGRAL EQUATIONS . . . 65 DIFFERENTIAL EQUATIONS . 80 § 20. APPENDIX. BASIC RESULTS FROM FUNCTIONAL ANALYSIS USED IN THE TEXT 95 LITERATURE CITED . . . . . . . . . . . . . . . . . . .. . . . 99 . . PRE F ACE The basic material appearing in this book represents the substance v of a special series of lectures given by the author at Voronez University in 1968/69, and, in part, at Dagestan University in 1970. Full Product DetailsAuthor: KREINPublisher: Birkhauser Boston Inc Imprint: Birkhauser Boston Inc Edition: Softcover reprint of the original 1st ed. 1982 Dimensions: Width: 15.20cm , Height: 0.60cm , Length: 22.90cm Weight: 0.362kg ISBN: 9780817631017ISBN 10: 0817631011 Pages: 106 Publication Date: 01 January 1982 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of Contents1. Linear equations. Basic notions.- 2. Equations with a Closed Operator.- 3. The Adjoint Equation.- 4. The Equation Adjoint to the Factored Equation.- 5. An Equation with a Closed Operator Which Has a Dense Domain.- 6. Normally Solvable Equations with Finite Dimensional Kernel.- 7. A Priori Estimates.- 8. Equations with Finite Defect.- 9. Some Different Adjoint Equations.- 10. Linear Transformations of Equations.- 11. Transformations of d-Normal Equations.- 12. Noetherian equations. Index.- 13. Equations with Operators Which Act in a Single Space.- 14. Fredholm equations. Regularization of equations.- 15. Linear Changes of Variable.- 16. Stability of the Properties of an Equation.- 17. Overdetermined Equations.- 18. Undetermined Equations.- 19. Integral Equations.- 20. Differential Equations.- Appendix. Basic results from functional analysis used in the text.- Literature cited.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |