Buch, Englisch, 106 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 187 g
ISBN: 978-0-8176-3101-7
Verlag: Birkhäuser
INTRODUCTION. 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.
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Weitere Infos & Material
§ 1. 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.
