Delay Differential Equations and Dynamical Systems

Proceedings of a Conference in honor of Kenneth Cooke held in Claremont, California, Jan. 13-16, 1990

Stavros Busenberg, Mario Martelli (Herausgeber)

Buch | Softcover

VIII, 256 Seiten

1991 | 1991
Springer Berlin (Verlag)
978-3-540-54120-2 (ISBN)

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The 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.

A 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.

Erscheint lt. Verlag	26.7.1991
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 256 p.
Verlagsort	Berlin
Sprache	englisch
Maße	156 x 234 mm
Gewicht	404 g
Themenwelt	Informatik ► Weitere Themen ► Bioinformatik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
Schlagworte	Banach space • Calculus • Delay differential equations • Derivative • differential equation • Differentialgleichung • Dynamical Systems • Dynamisches System • ordinary differential equation • parabolic systems • stability
ISBN-10	3-540-54120-9 / 3540541209
ISBN-13	978-3-540-54120-2 / 9783540541202
Zustand	Neuware