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020 _a9783540474180
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024 7 _a10.1007/BFb0083474
_2doi
050 4 _aQA299.6-433
072 7 _aPBK
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072 7 _aMAT034000
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245 1 0 _aDelay Differential Equations and Dynamical Systems
_h[electronic resource] :
_bProceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13–16, 1990 /
_cedited by Stavros Busenberg, Mario Martelli.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c1991.
300 _aVIII, 256 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1475
505 0 _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.
520 _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.
650 0 _aGlobal analysis (Mathematics).
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
700 1 _aBusenberg, Stavros.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aMartelli, Mario.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662188354
776 0 8 _iPrinted edition:
_z9783540541202
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1475
856 4 0 _uhttps://doi.org/10.1007/BFb0083474
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