Infinite-dimensional systems : proccedings [i.e. proceedings] of the Conference on Operator Semigroups and Applications, held in Retzhof (Styria), Austria, June 5-11, 1983
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書誌事項
Infinite-dimensional systems : proccedings [i.e. proceedings] of the Conference on Operator Semigroups and Applications, held in Retzhof (Styria), Austria, June 5-11, 1983
（Lecture notes in mathematics, 1076）
Springer-Verlag, 1984
- : gw
- : us
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Includes bibliographies
内容説明・目次
目次
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.
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