LEADER 03277nam 22006495 450 001 9910300148403321 005 20251113210602.0 010 $a1-4614-8893-1 024 7 $a10.1007/978-1-4614-8893-4 035 $a(CKB)3710000000078554 035 $a(EBL)1538482 035 $a(SSID)ssj0001049656 035 $a(PQKBManifestationID)11623137 035 $a(PQKBTitleCode)TC0001049656 035 $a(PQKBWorkID)11019241 035 $a(PQKB)11220853 035 $a(DE-He213)978-1-4614-8893-4 035 $a(MiAaPQ)EBC6315112 035 $a(MiAaPQ)EBC1538482 035 $a(Au-PeEL)EBL1538482 035 $a(CaPaEBR)ebr10983193 035 $a(OCoLC)864715899 035 $a(PPN)176099980 035 $a(EXLCZ)993710000000078554 100 $a20131022d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aTopological Methods in the Study of Boundary Value Problems /$fby Pablo Amster 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer US :$cImprint: Springer,$d2014. 215 $a1 online resource (238 p.) 225 1 $aUniversitext,$x2191-6675 300 $aDescription based upon print version of record. 311 0 $a1-4614-8892-3 327 $aIntroduction -- Shooting type methods -- The Banach Fixed Point Theorem.- Schauder?s Theorem and applications.- Topological degree: an introduction -- Applications.- Basic facts on metric and normed spaces -- Brief review of ODE?s.- Hints and Solutions to Selected Exercises. 330 $aThis textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader. 410 0$aUniversitext,$x2191-6675 606 $aMathematical analysis 606 $aDifferential equations 606 $aAnalysis 606 $aDifferential Equations 615 0$aMathematical analysis. 615 0$aDifferential equations. 615 14$aAnalysis. 615 24$aDifferential Equations. 676 $a515.35 700 $aAmster$b Pablo$4aut$4http://id.loc.gov/vocabulary/relators/aut$0524651 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300148403321 996 $aTopological methods in the study of boundary value problems$9821875 997 $aUNINA