Infinite-Dimensional Systems

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

AvF. Kappel,W. Schappacher

Häftad, Engelska, 1984

Del 1076 i serien Lecture Notes in Mathematics

377 kr

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Produktinformation

Utgivningsdatum:1984-08-01
Mått:155 x 235 x 16 mm
Vikt:441 g
Format:Häftad
Språk:Engelska
Serie:Lecture Notes in Mathematics
Antal sidor:282
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540133766

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Innehållsförteckning

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.