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930315s1993 nyu b 001 0 eng |
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|a 0824787935
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|a (ICU)BID16849875
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|a (OCoLC)26719206
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|a QA321.5
|b .P48 1993
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| 082 |
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|a 515/.7
|2 20
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| 100 |
1 |
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|a Petryshyn, Wolodymyr V.,
|d 1929-
|0 http://id.loc.gov/authorities/names/n92093582
|1 http://viaf.org/viaf/112840506
|
| 245 |
1 |
0 |
|a Approximation-solvability of nonlinear functional and differential equations /
|c Wolodymyr V. Petryshyn.
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| 260 |
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|a New York, NY :
|b M. Dekker,
|c c1993.
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| 263 |
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|a 9212
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| 300 |
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|a xi, 372 p. ;
|c 24 cm.
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| 336 |
|
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|a text
|b txt
|2 rdacontent
|0 http://id.loc.gov/vocabulary/contentTypes/txt
|
| 337 |
|
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|a unmediated
|b n
|2 rdamedia
|0 http://id.loc.gov/vocabulary/mediaTypes/n
|
| 338 |
|
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|a volume
|b nc
|2 rdacarrier
|0 http://id.loc.gov/vocabulary/carriers/nc
|
| 440 |
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0 |
|a Monographs and textbooks in pure and applied mathematics
|v 171
|
| 504 |
|
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|a Includes bibliographical references and index.
|
| 505 |
0 |
0 |
|g I.
|t Solvability of Equations Involving A-Proper and Pseudo-A-Proper Mappings.
|g 1.
|t Definitions and some facts about A-proper mappings and the approximation-solvability of equation (1.1).
|g 2.
|t Further examples of A-proper mappings.
|g 3.
|t A-properness and the constructive solvability of some ordinary and partial differential equations.
|g 4.
|t Existence theorems and pseudo-A-proper mappings --
|g II.
|t Equations Involving Linear A-Proper Mappings.
|g 1.
|t Approximation-solvability and bounded A-proper mappings.
|g 2.
|t Equations involving unbounded linear operators.
|g 3.
|t Generalized Fredholm alternative.
|g 4.
|t Constructive solvability of linear elliptic boundary value problems.
|g 5.
|t Stability of projective methods and A-properness --
|g III.
|t Fixed-Point and Subjectivity Theorems for P[subscript [gamma]]-Compact and A-Proper-Type Maps.
|g 1.
|t Outline of the Brouwer degree theory and some of its consequences.
|g 2.
|t Constructive fixed-point theorems for P[subscript [gamma]]-compact maps.
|g 3.
|t Constructive subjectivity theorems for P[subscript [gamma]a-compact vector fields.
|g 4.
|t Approximation-solvability and solvability of equations involving maps of A-proper type.
|g 5.
|t Solvability of equations involving semilinear weakly A-proper mappings --
|g IV.
|t Generalized Degree for A-Proper Mappings and Applications.
|g 1.
|t Definitions of topological degrees for compact and strict set-contractive vector fields and some of their properties.
|g 2.
|t Generalized degree for A-proper mappings.
|g 3.
|t Single-valued generalized degree for compact and k-ball-contractive perturbations of firmly monotone and accretive maps.
|g 4.
|t Some applications of the generalized degree.
|g 5.
|t Calculation of generalized degree.
|g 6.
|t Bifurcation and asymptotic bifurcation for equations involving A-proper mappings with applications --
|g V.
|t Soluability of PDEs and ODEs and Bifurcation Problems.
|g 1.
|t Solvability of partial differential equations.
|g 2.
|t Solvability of ordinary differential equations.
|g 3.
|t Approximation-solvability of periodic boundary value problems.
|g 4.
|t Variational BPs and ABPs for PDEs and ODEs.
|t App. 1. Upper and lower bounds and limits of functions --
|t App. 2. Finite element methods for ODEs and elliptic PDEs --
|t App. 3. Lebesgue measure, integral, and some important convergence theorems --
|t App. 4. Lebesgue spaces L[subscript p](Q) --
|t App. 5. Weak and weak[superscript *] convergence --
|t App. 6. Sobolev spaces [actual symbol not reproducible], [actual symbol not reproducible].
|
| 650 |
|
0 |
|a Nonlinear functional analysis
|0 http://id.loc.gov/authorities/subjects/sh85092325
|
| 650 |
|
0 |
|a Mappings (Mathematics)
|0 http://id.loc.gov/authorities/subjects/sh85080857
|
| 650 |
|
0 |
|a Topological degree
|0 http://id.loc.gov/authorities/subjects/sh85036478
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| 650 |
|
7 |
|a Mappings (Mathematics)
|2 fast
|0 http://id.worldcat.org/fast/fst01008724
|
| 650 |
|
7 |
|a Nonlinear functional analysis.
|2 fast
|0 http://id.worldcat.org/fast/fst01038790
|
| 650 |
|
7 |
|a Topological degree.
|2 fast
|0 http://id.worldcat.org/fast/fst01152679
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| 850 |
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|a ICU
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| 901 |
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|a ToCBNA
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| 903 |
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|a HeVa
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| 929 |
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|a cat
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|i f496dc40-003f-5063-be6b-f59ef4f976d6
|s 4c9ec7e5-86ed-5fe5-b551-24c9a0494d4a
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| 928 |
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|t Library of Congress classification
|a QA321.5.P480 1993
|l ASR
|c ASR-SciASR
|i 2547273
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| 927 |
|
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|t Library of Congress classification
|a QA321.5.P480 1993
|l ASR
|c ASR-SciASR
|e CRERAR
|b 37173178
|i 2813038
|
