04612nam 22005655 450 991095500040332120250731082149.01-4612-0601-410.1007/978-1-4612-0601-9(CKB)2660000000022899(SSID)ssj0001297978(PQKBManifestationID)11761651(PQKBTitleCode)TC0001297978(PQKBWorkID)11229637(PQKB)11215817(DE-He213)978-1-4612-0601-9(MiAaPQ)EBC3074521(PPN)238007014(EXLCZ)99266000000002289920110731d1998 u| 0engurnn|008mamaatxtccrOrdinary Differential Equations /by Wolfgang Walter1st ed. 1998.New York, NY :Springer New York :Imprint: Springer,1998.1 online resource (XI, 384 p.) Graduate Texts in Mathematics,2197-5612 ;182Bibliographic Level Mode of Issuance: Monograph0-387-98459-3 1-4612-6834-6 Includes bibliographical references and index.I. First Order Equations: Some Integrable Cases -- § 1. Explicit First Order Equations -- § 2. The Linear Differential Equation. Related Equations -- § 3. Differential Equations for Families of Curves. Exact Equations -- § 4. Implicit First Order Differential Equations -- II: Theory of First Order Differential Equations -- § 5. Tools from Functional Analysis -- § 6. An Existence and Uniqueness Theorem -- § 7. The Peano Existence Theorem -- § 8. Complex Differential Equations. Power Series Expansions -- § 9. Upper and Lower Solutions. Maximal and Minimal Integrals -- III: First Order Systems. Equations of Higher Order -- § 10. The Initial Value Problem for a System of First Order -- § 11. Initial Value Problems for Equations of Higher Order -- § 12. Continuous Dependence of Solutions -- § 13. Dependence of Solutions on Initial Values and Parameters -- IV: Linear Differential Equations -- § 14. Linear Systems -- § 15. Homogeneous Linear Systems -- § 16. Inhomogeneous Systems -- § 17. Systems with Constant Coefficients -- § 18. Matrix Functions. Inhomogeneous Systems -- § 19. Linear Differential Equations of Order n -- § 20. Linear Equations of Order nwith Constant Coefficients -- V: Complex Linear Systems -- § 21. Homogeneous Linear Systems in the Regular Case -- § 22. Isolated Singularities -- § 23. Weakly Singular Points. Equations of Fuchsian Type -- § 24. Series Expansion of Solutions -- § 25. Second Order Linear Equations -- VI: Boundary Value and Eigenvalue Problems -- § 26. Boundary Value Problems -- § 27. The Sturm—Liouville Eigenvalue Problem -- § 28. Compact Self-Adjoint Operators in Hilbert Space -- VII: Stability and Asymptotic Behavior -- § 29. Stability -- § 30. The Method of Lyapunov -- A. Topology -- B. Real Analysis -- C. C0111plex Analysis -- D. FunctionalAnalysis -- Solutions and Hints for Selected Exercises -- Literature -- Notation.Develops the theory of initial-, boundary-, and eigenvalue problems, real and complex linear systems, asymptotic behavior and stability. Using novel approaches to many subjects, the book emphasizes differential inequalities and treats more advanced topics such as Caratheodory theory, nonlinear boundary value problems and radially symmetric elliptic problems. New proofs are given which use concepts and methods from functional analysis. Applications from mechanics, physics, and biology are included, and exercises, which range from routine to demanding, are dispersed throughout the text. Solutions for selected exercises are included at the end of the book. All required material from functional analysis is developed in the book and is accessible to students with a sound knowledge of calculus and familiarity with notions from linear algebra. This text would be an excellent choice for a course for beginning graduate or advanced undergraduate students.Graduate Texts in Mathematics,2197-5612 ;182Mathematical analysisAnalysisMathematical analysis.Analysis.515Walter Wolfgangauthttp://id.loc.gov/vocabulary/relators/aut441828MiAaPQMiAaPQMiAaPQBOOK9910955000403321Gewöhnliche Differentialgleichungen. Eine Einführung3008503UNINA01998nam2 22003493i 450 VAN0010861620241115015352.198feie.de e-es i-ec neCe (3) 1780 (R)VAN 20170328d1780 |0itac50 bafreCH||||||||| |||||||||i e nnc7Genèvechez Du Villard fils & Nouffer, imprimeurs-libraires1780[4], 440 p.8°Segnatura: π² A-2D⁸ 2E⁴Contiene: Histoire ancienne. Livre treizieme [-dix-septieme]001VAN002820222001 Histoire ancienne. Livre treizieme-dix-septieme]001VAN000773212001 Cours d'étude pour l'instruction du Prince de Parme, aujourd'hui S.A.R. l'infant D. Ferdinand, duc de Parme, Plaisance, Guastalle, &c. &c. &c. par m. l'Abbé de Condillac ... Tome premier [-douzieme]210 Genèvechez Du Villard fils & Nouffer, imprimeurs-libraires1779-1780215 12 volumi8º300 Riferimenti: FRBNF30263589300 Ritratto calcografico dell'Autore inciso da Martinet nel 1776300 I volumi 2, 4, 9 pubblicati nel 1779, i volumi 1, 3, 5-8, 10-12 nel 1780300 Fregio xilografico sui frontespizi300 Testate, iniziali, fregi e finalini xilografici7GinevraVANL001017CondillacÉtienne : Bonnot de1714-1780VANV029388375211Du Villard fils & Nouffer, Jean AbrahamVANV053697ITSOL20260130RICAhttps://books.google.it/books?id=s5xEY2AzpfUC&printsec=frontcover&hl=it#v=onepage&q&f=falseVolume digitalizzato.BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZAIT-CE0105VAN00VAN00108616BIBLIOTECA DEL DIPARTIMENTO DI GIURISPRUDENZA00LAURIA BL.700. 105 00BL 4994 7 20170328 74286434UNICAMPANIA