Infinite-Dimensional Systems

Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983

F. Kappel, W. Schappacher (Herausgeber)

Buch | Softcover
X, 282 Seiten
1984 | 1984
Springer Berlin (Verlag)
978-3-540-13376-6 (ISBN)

Lese- und Medienproben

Infinite-Dimensional Systems -
37,40 inkl. MwSt

Generators of positive semigroups.- Wiener's theorem and semigroups of operators.- A class of nonlinear diffusion problems.- On abstract Volterra equations in Banach spaces with completely positive kernels.- Stability of non-autonomous delay differential equations by Liapunov functionals.- Abstract differential equations and extrapolation spaces.- Wave propagation for abstract integrodifferential equations.- Retarded abstract equations in Hilbert spaces.- A variation of parameters formula for burgers system.- A typical Perron-Frobenius theorem with applications to an age-dependent population equation.- On positive solutions of semilinear periodic-parabolic problems.- A simplified approach to the existence and stability problem of a functional evolution equation in a general Banach space.- Approximations of analytic and differentiable semigroups - Rate of convergence with nonsmooth initial conditions.- Asymptotic estimates for resolvents of some integral equations.- The rate of convergence in singular perturbations of parabolic equations.- Some problems on non-linear semigroups and the blow-up of integral solutions.- The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators.- On the differentiability of nonlinear semigroups.- Semigroups generated by a convolution equation.- A?-bounded, finite rank perturbations of s.c. group generators A: Counterexamples to generation and to another condition for well-posedness.- A semigroup proof of the Sharpe-Lotka theorem.- Integrable resolvent operators for integrodifferential equations in Hilbert space.

Erscheint lt. Verlag 1.8.1984
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo X, 282 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 408 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte convolution • Differentialgleichung • hilbert space • Integrodifferentialgleichung • Operatorhalbgruppe • Populationsdynamik • Systems
ISBN-10 3-540-13376-3 / 3540133763
ISBN-13 978-3-540-13376-6 / 9783540133766
Zustand Neuware
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