Infinite-Dimensional Systems
Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983
(Sprache: Englisch)
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...
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Klappentext zu „Infinite-Dimensional Systems “
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.
Inhaltsverzeichnis zu „Infinite-Dimensional Systems “
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.
Bibliographische Angaben
- 1984, 288 Seiten, Maße: 15,5 x 23,5 cm, Taschenbuch, Englisch
- Herausgegeben: W. Schappacher, F. Kappel
- Verlag: Springer Berlin Heidelberg
- ISBN-10: 3540133763
- ISBN-13: 9783540133766
- Erscheinungsdatum: 01.08.1984
Sprache:
Englisch
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