LEADER 04841nam 2200649 450 001 9910136777103321 005 20230808192429.0 010 $a1-119-18949-7 010 $a1-119-18948-9 035 $a(CKB)3710000000635402 035 $a(EBL)4461569 035 $a(SSID)ssj0001639760 035 $a(PQKBManifestationID)16398464 035 $a(PQKBTitleCode)TC0001639760 035 $a(PQKBWorkID)14957900 035 $a(PQKB)10542968 035 $a(MiAaPQ)EBC4461569 035 $a(Au-PeEL)EBL4461569 035 $a(CaPaEBR)ebr11188048 035 $a(CaONFJC)MIL909388 035 $a(OCoLC)945735885 035 $a(EXLCZ)993710000000635402 100 $a20151102h20162016 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFunctional differential equations $eadvances and applications /$fConstantin Corduneanu, Yizeng Li, Mehran Mahdavi 210 1$aHoboken, New Jersey :$cJohn Wiley & Sons, Incorporated,$d[2016] 210 4$dİ2016 215 $a1 online resource (395 p.) 225 1 $aPure and applied mathematics 300 $aDescription based upon print version of record. 311 $a1-119-18950-0 311 $a1-119-18947-0 320 $aIncludes bibliographical references and index. 327 $aTITLE 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 EQUATION 327 $a2.4 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 EQUATIONS 327 $a2.11 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 STABILITY 327 $a3.9 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 FUNCTIONS 327 $a4.7 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 CONVOLUTION 327 $a5.9 BIBLIOGRAPHICAL NOTES 410 0$aPure and applied mathematics (John Wiley & Sons : Unnumbered) 606 $aFunctional differential equations 615 0$aFunctional differential equations. 676 $a515/.35 700 $aCorduneanu$b C.$012266 702 $aLi$b Yizeng$f1949- 702 $aMahdavi$b Mehran$f1959- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910136777103321 996 $aFunctional differential equations$92039081 997 $aUNINA