04841nam 2200649 450 991013677710332120230808192429.01-119-18949-71-119-18948-9(CKB)3710000000635402(EBL)4461569(SSID)ssj0001639760(PQKBManifestationID)16398464(PQKBTitleCode)TC0001639760(PQKBWorkID)14957900(PQKB)10542968(MiAaPQ)EBC4461569(Au-PeEL)EBL4461569(CaPaEBR)ebr11188048(CaONFJC)MIL909388(OCoLC)945735885(EXLCZ)99371000000063540220151102h20162016 uy| 0engur|n|---|||||txtccrFunctional differential equations advances and applications /Constantin Corduneanu, Yizeng Li, Mehran MahdaviHoboken, New Jersey :John Wiley & Sons, Incorporated,[2016]©20161 online resource (395 p.)Pure and applied mathematicsDescription based upon print version of record.1-119-18950-0 1-119-18947-0 Includes bibliographical references and index.TITLE PAGE; TABLE OF CONTENTS; PREFACE; ACKNOWLEDGMENTS; 1 INTRODUCTION, CLASSIFICATION, SHORT HISTORY, AUXILIARY RESULTS, AND METHODS; 1.1 CLASSICAL AND NEW TYPES OF FEs; 1.2 MAIN DIRECTIONS IN THE STUDY OF FDE; 1.3 METRIC SPACES AND RELATED CONCEPTS; 1.4 FUNCTIONS SPACES; 1.5 SOME NONLINEAR AUXILIARY TOOLS; 1.6 FURTHER TYPES OF FES; 2 EXISTENCE THEORY FOR FUNCTIONAL EQUATIONS; 2.1 LOCAL EXISTENCE FOR CONTINUOUS OR MEASURABLE SOLUTIONS; 2.2 GLOBAL EXISTENCE FOR SOME CLASSES OF FUNCTIONAL DIFFERENTIAL EQUATIONS; 2.3 EXISTENCE FOR A SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATION2.4 THE COMPARISON METHOD IN OBTAINING GLOBAL EXISTENCE RESULTS2.5 A FUNCTIONAL DIFFERENTIAL EQUATION WITH BOUNDED SOLUTIONS ON THE POSITIVE SEMIAXIS; 2.6 AN EXISTENCE RESULT FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT; 2.7 A SECOND-ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH BOUNDED SOLUTIONS ON THE POSITIVE SEMIAXIS; 2.8 A GLOBAL EXISTENCE RESULT FOR A CLASS OF FIRST-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS; 2.9 A GLOBAL EXISTENCE RESULT IN A SPECIAL FUNCTION SPACE AND A POSITIVITY RESULT; 2.10 SOLUTION SETS FOR CAUSAL FUNCTIONAL DIFFERENTIAL EQUATIONS2.11 AN APPLICATION TO OPTIMAL CONTROL THEORY2.12 FLOW INVARIANCE; 2.13 FURTHER EXAMPLES/APPLICATIONS/COMMENTS; 2.14 BIBLIOGRAPHICAL NOTES; 3 STABILITY THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS; 3.1 SOME PRELIMINARY CONSIDERATIONS AND DEFINITIONS; 3.2 COMPARISON METHOD IN STABILITY THEORY OF ORDINARY DIFFERENTIAL EQUATIONS; 3.3 STABILITY UNDER PERMANENT PERTURBATIONS; 3.4 STABILITY FOR SOME FUNCTIONAL DIFFERENTIAL EQUATIONS; 3.5 PARTIAL STABILITY; 3.6 STABILITY AND PARTIAL STABILITY OF FINITE DELAY SYSTEMS; 3.7 STABILITY OF INVARIANT SETS; 3.8 ANOTHER TYPE OF STABILITY3.9 VECTOR AND MATRIX LIAPUNOV FUNCTIONS3.10 A FUNCTIONAL DIFFERENTIAL EQUATION; 3.11 BRIEF COMMENTS ON THE START AND EVOLUTION OF THE COMPARISON METHOD IN STABILITY; 3.12 BIBLIOGRAPHICAL NOTES; 4 OSCILLATORY MOTION, WITH SPECIAL REGARD TO THE ALMOST PERIODIC CASE; 4.1 TRIGONOMETRIC POLYNOMIALS AND APr-SPACES; 4.2 SOME PROPERTIES OF THE SPACES; 4.3 APr-SOLUTIONS TO ORDINARY DIFFERENTIAL EQUATIONS; 4.4 APr-SOLUTIONS TO CONVOLUTION EQUATIONS; 4.5 OSCILLATORY SOLUTIONS INVOLVING THE SPACE B; 4.6 OSCILLATORY MOTIONS DESCRIBED BY CLASSICAL ALMOST PERIODIC FUNCTIONS4.7 DYNAMICAL SYSTEMS AND ALMOST PERIODICITY4.8 BRIEF COMMENTS ON THE DEFINITION OF SPACES AND RELATED TOPICS; 4.9 BIBLIOGRAPHICAL NOTES; 5 NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS; 5.1 SOME GENERALITIES AND EXAMPLES RELATED TO NEUTRAL FUNCTIONAL EQUATIONS; 5.2 FURTHER EXISTENCE RESULTS CONCERNING NEUTRAL FIRST-ORDER EQUATIONS; 5.3 SOME AUXILIARY RESULTS; 5.4 A CASE STUDY, I; 5.5 ANOTHER CASE STUDY, II; 5.6 SECOND-ORDER CAUSAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS, I; 5.7 SECOND-ORDER CAUSAL NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS, II; 5.8 A NEUTRAL FUNCTIONAL EQUATION WITH CONVOLUTION5.9 BIBLIOGRAPHICAL NOTESPure and applied mathematics (John Wiley & Sons : Unnumbered)Functional differential equationsFunctional differential equations.515/.35Corduneanu C.12266Li Yizeng1949-Mahdavi Mehran1959-MiAaPQMiAaPQMiAaPQBOOK9910136777103321Functional differential equations2039081UNINA01560nam0 22003251i 450 UON0014829520231205102910.92820020107d1899 |0itac50 bagerARAFI|||| 1||||Ibn Saʿīds Geschichte der Iḫšîden und fusṭâṭensische Biographiennach dem Originaltext des Kitâb al-Muġrib und anderen Qvellen dargestellt ; mit einem Auszug aus al-Kindîs 'Tar̕îḫ Miçr'von Knut L. TallqvistHelsingforsFrenckell1899132, 6 p.28 cmCommentoUON00368750001UON000278732001 Acta Societatis Scientiarum Fennicae25UON00368750Kitāb al-Muġrib fi ḥulā al-maġrib / Ibn-SaʿīdIslamStoriaUONC000403FIFIHelsinkiUONL000062ARA IVPAESI ARABI - STORIAARARI ARA IVRARI - PAESI ARABI - STORIAATallqvistKnut LeonardUONV0189201213901Ibn-Saʿīd, ʿAlī Ibn-MūsāUONV286760072ˆal-‰KindīMuḥammad ibn Yūsuf ibn YaʿqūbUONV286761072ITSOL20250321RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00148295SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI RARI ARA IV 033 SI MR 18902 7 033 Ibn Saʿīds Geschichte der Iḫšîden und fusṭâṭensische Biographien2803571UNIOR