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221028 ||| eng |
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|a 9780080956558
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|a 9780126297508
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|a 0080956556
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|a 0126297509
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|a 1282289942
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050 |
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4 |
|a QA329
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100 |
1 |
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|a Schröder, Johann
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245 |
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|a Operator inequalities
|c Johann Schröder
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260 |
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|a New York
|b Academic Press
|c 1980, 1980
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300 |
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|a xvi, 367 pages
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505 |
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|a Front Cover; Operator Inequalities; Copyright Page; Contents; Preface; Acknowledgments; Some remarks concerning notation; Chapter I. Some results on functional analysis; 1. Basic concepts of order theory; 2. Convex sets; 3. Fixed-point theorems and other means of functional analysis; Notes; Chapter II. Inverse-positive linear operators; 1. An abstract theory; 2. M-matrices; 3. Differential operators of the second order, pointwise inequalities; 4. Abstract theory (continuation); 5. Numerical applications; 6. Further Results; Notes
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|a Includes bibliographical references (pages 343-357) and indexes
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|a Chapter III. Two-sided bounds for second order differential equations1. The concept of an inverse-monotone operator; 2. Inverse-monotone differential operators; 3. Inverse-rnonotonicity with weak differential inequalities; 4. Existence and inclusion for two-point boundary Value Problems; 5. Existence and inclusion by weak comparison functions; 6. Error estimates; Notes; Chapter IV. An estimation theory for linear and nonlinear operators, range-domain implications; 1. Sufficient conditions, general theory; 2. Inverse-monotone operators; 3. Inclusion by upper and lower bounds
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|a 4. Range-domain implications for linear and concave operatorsNotes; Chapter V. Estimation and existence theory for vector-valued differential operators; 1. Description of the problem, assumptions, notation; 2. Two-sided bounds by range-domain implications; 3. Existence and inclusion by two-sided bounds; 4. Pointwise norm bounds by range-domain implications; 5. Existence and estimation by norm bounds; 6. More general estimates; Notes; References; Notation index; Subject index
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653 |
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|a Théorie des opérateurs
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653 |
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|a Inequalities (Mathematics) / fast / (OCoLC)fst00972020
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653 |
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|a Inégalités (mathématiques) / ram
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653 |
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|a Operator theory / http://id.loc.gov/authorities/subjects/sh85095029
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653 |
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|a Ungleichung / swd
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653 |
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|a Opérateurs, Théorie des / ram
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653 |
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|a MATHEMATICS / Functional Analysis / bisacsh
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653 |
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|a Operator theory / fast / (OCoLC)fst01046419
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653 |
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|a Operator / swd
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653 |
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|a Inequalities (Mathematics) / http://id.loc.gov/authorities/subjects/sh85065985
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653 |
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|a Mathématiques / eclas
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653 |
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|a Inégalités (Mathématiques)
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041 |
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7 |
|a eng
|2 ISO 639-2
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989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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490 |
0 |
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|a Mathematics in science and engineering
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776 |
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|z 0080956556
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776 |
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|z 9780080956558
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776 |
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|z 9780126297508
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776 |
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|z 0126297509
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856 |
4 |
0 |
|u https://www.sciencedirect.com/science/bookseries/00765392/147
|x Verlag
|3 Volltext
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082 |
0 |
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|a 515.7/24
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