LEADER 00824nam0-22003011i-450 001 990005469760203316 005 20190306114231.0 010 $a0-8162-7765-6 035 $a000546976 035 $aUSA01000546976 035 $a(ALEPH)000546976USA01 035 $a000546976 100 $a20010829d1970----km y0enac5003----ba 101 0 $aeng 102 $aUS 200 1 $aCollective choice and social welfare$fAmartya K. Sen 210 $aSan Francisco$cHolden Day, Inc$d1970 215 $a225 p.$d234 cm. 606 $aScelte sociali$2BNCF 676 $a301.1554$v21 700 1$aSEN,$bAmartya$0119897 801 $aIT$bSOL$c20120104 912 $a990005469760203316 951 $a300 301.1554 SEN$b427 DISES 959 $aBK 969 $aDISES 996 $aCollective choice and social welfare$9464127 997 $aUNISA LEADER 03197nam 22005535 450 001 9910349321503321 005 20200704183444.0 010 $a3-030-19373-X 024 7 $a10.1007/978-3-030-19373-7 035 $a(CKB)4100000009184973 035 $a(DE-He213)978-3-030-19373-7 035 $a(MiAaPQ)EBC5892517 035 $a(PPN)269145087 035 $a(EXLCZ)994100000009184973 100 $a20190906d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSymplectic Difference Systems: Oscillation and Spectral Theory /$fby Ond?ej Do?lý, Julia Elyseeva, Roman ?imon Hilscher 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (XV, 593 p. 7 illus. in color.) 225 1 $aPathways in Mathematics,$x2367-3451 311 $a3-030-19372-1 327 $aMotivation and Preliminaries -- Basic Theory of Symplectic Systems -- Comparative Index Theory -- Oscillation Theory of Symplectic Systems -- Discrete Symplectic Eigenvalue Problems -- Miscellaneous Topics on Symplectic Systems. 330 $aThis monograph is devoted to covering the main results in the qualitative theory of symplectic difference systems, including linear Hamiltonian difference systems and Sturm-Liouville difference equations, with the emphasis on the oscillation and spectral theory. As a pioneer monograph in this field it contains nowadays standard theory of symplectic systems, as well as the most current results in this field, which are based on the recently developed central object - the comparative index. The book contains numerous results and citations, which were till now scattered only in journal papers. The book also provides new applications of the theory of matrices in this field, in particular of the Moore-Penrose pseudoinverse matrices, orthogonal projectors, and symplectic matrix factorizations. Thus it brings this topic to the attention of researchers and students in pure as well as applied mathematics. 410 0$aPathways in Mathematics,$x2367-3451 606 $aDifference equations 606 $aFunctional equations 606 $aOperator theory 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aOperator theory. 615 14$aDifference and Functional Equations. 615 24$aOperator Theory. 676 $a515.625 676 $a515.75 676 $a515.45 700 $aDo?lý$b Ond?ej$4aut$4http://id.loc.gov/vocabulary/relators/aut$0499453 702 $aElyseeva$b Julia$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $a?imon Hilscher$b Roman$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910349321503321 996 $aSymplectic Difference Systems: Oscillation and Spectral Theory$92499261 997 $aUNINA LEADER 02667nam 22005175 450 001 9910300117303321 005 20200705044616.0 010 $a3-319-92117-7 024 7 $a10.1007/978-3-319-92117-4 035 $a(CKB)3810000000358848 035 $a(DE-He213)978-3-319-92117-4 035 $a(MiAaPQ)EBC5501045 035 $a(PPN)229498108 035 $a(EXLCZ)993810000000358848 100 $a20180628d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStructurally Unstable Quadratic Vector Fields of Codimension One /$fby Joan C. Artés, Jaume Llibre, Alex C. Rezende 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2018. 215 $a1 online resource (VI, 267 p. 362 illus., 1 illus. in color.) 311 $a3-319-92116-9 320 $aIncludes bibliographical references. 327 $aIntroduction -- Preliminary definitions -- Some preliminary tools -- A summary for the structurally stable quadratic vector fields -- Proof of Theorem 1.1(a) -- Proof of Theorem 1.1(b) -- Bibliography. 330 $aOriginating from research in the qualitative theory of ordinary differential equations, this book follows the authors? work on structurally stable planar quadratic polynomial differential systems. In the present work the authors aim at finding all possible phase portraits in the Poincaré disc, modulo limit cycles, of planar quadratic polynomial differential systems manifesting the simplest level of structural instability. They prove that there are at most 211 and at least 204 of them. . 606 $aDifferential equations 606 $aDynamics 606 $aErgodic theory 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 14$aOrdinary Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 676 $a515.352 700 $aArtés$b Joan C$4aut$4http://id.loc.gov/vocabulary/relators/aut$0501630 702 $aLlibre$b Jaume$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aRezende$b Alex C$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910300117303321 996 $aStructurally Unstable Quadratic Vector Fields of Codimension One$91963844 997 $aUNINA