LEADER 04361nam 2200613 450 001 996466768303316 005 20220908110503.0 010 $a3-540-47418-8 024 7 $a10.1007/BFb0083474 035 $a(CKB)1000000000437075 035 $a(SSID)ssj0000322496 035 $a(PQKBManifestationID)12124624 035 $a(PQKBTitleCode)TC0000322496 035 $a(PQKBWorkID)10286919 035 $a(PQKB)10748087 035 $a(DE-He213)978-3-540-47418-0 035 $a(MiAaPQ)EBC5585070 035 $a(Au-PeEL)EBL5585070 035 $a(OCoLC)1066199497 035 $a(MiAaPQ)EBC6842281 035 $a(Au-PeEL)EBL6842281 035 $a(OCoLC)793079253 035 $a(PPN)155166085 035 $a(EXLCZ)991000000000437075 100 $a20220908d1991 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 00$aDelay differential equations and dynamical systems $eproceedings of a conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990 /$fedited by Stavros Busenberg, Mario Martelli 205 $a1st ed. 1991. 210 1$aBerlin, Germany :$cSpringer,$d[1991] 210 4$d©1991 215 $a1 online resource (VIII, 256 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1475 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-54120-9 327 $aA survey of differential equations with piecewise continuous arguments -- Dynamics and delays -- A brief survey of persistence in dynamical systems -- Periodic orbits of planar polynomial Liénard systems with a small parameter -- Hopf bifurcation in quasilinear reaction-diffusion systems -- Monotone semi-flows which have a monotone first integral -- The coincidence degree of some functional differential operators in spaces of periodic functions and related continuation theorems -- On the stability of discrete equations and ordinary differential equations -- Systems of set-valued equations in Banach spaces -- Abstract volterra equations and weak topologies -- Semigroups and renewal equations on dual Banach spaces with applications to population dynamics -- Estimates for spatio-temporally dependent reaction diffusion systems -- The mountain circle theorem -- Extensions of an algorithm for the analysis of nongeneric Hopf bifurcations, with applications to delay-difference equations -- The forced spherical pendulum does have forced oscillations -- Radial bounds for Schrödinger operators in euclidean domains -- Jumping nonlinearity for 2nd order ODE with positive forcing -- Moment conditions for a Volterra integral equation in a Banach space -- Asymptotic behaviors of solutions of a system of linear ordinary differential equations as t?? -- Implicit differential equations which are not solvable for the highest derivative -- A stability analysis for a class of differential-delay equations having time-varying delay -- On an interval map associated with a delay logistic equation with discontinuous delays. 330 $aThe meeting explored current directions of research in delay differential equations and related dynamical systems and celebrated the contributions of Kenneth Cooke to this field on the occasion of his 65th birthday. The volume contains three survey papers reviewing three areas of current research and seventeen research contributions. The research articles deal with qualitative properties of solutions of delay differential equations and with bifurcation problems for such equations and other dynamical systems. A companion volume in the biomathematics series (LN in Biomathematics, Vol. 22) contains contributions on recent trends in population and mathematical biology. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1475 606 $aDifferentiable dynamical systems 615 0$aDifferentiable dynamical systems. 676 $a515.39 702 $aMartelli$b M.$f1937- 702 $aBusenberg$b Stavros N. 712 12$aInternational Conference on Differential Equations and Applications to Biology and Population Dynamics$f(1990 :$eClaremont, Calif.) 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466768303316 996 $aDelay differential equations and dynamical systems$981351 997 $aUNISA