W. Arendt (auth.), Franz Kappel, Wilhelm Schappacher (eds.)9780387133768, 0-387-13376-3
Table of contents :
Generators of positive semigroups….Pages 1-15
Wiener’s theorem and semigroups of operators….Pages 16-22
A class of nonlinear diffusion problems….Pages 23-31
On abstract Volterra equations in Banach spaces with completely positive kernels….Pages 32-40
Stability of non-autonomous delay differential equations by Liapunov functionals….Pages 41-52
Abstract differential equations and extrapolation spaces….Pages 53-61
Wave propagation for abstract integrodifferential equations….Pages 62-70
Retarded abstract equations in Hilbert spaces….Pages 71-77
A variation of parameters formula for burgers system….Pages 78-85
A typical Perron-Frobenius theorem with applications to an age-dependent population equation….Pages 86-100
On positive solutions of semilinear periodic-parabolic problems….Pages 101-114
A simplified approach to the existence and stability problem of a functional evolution equation in a general Banach space….Pages 115-122
Approximations of analytic and differentiable semigroups — Rate of convergence with nonsmooth initial conditions….Pages 123-138
Asymptotic estimates for resolvents of some integral equations….Pages 139-146
The rate of convergence in singular perturbations of parabolic equations….Pages 147-167
Some problems on non-linear semigroups and the blow-up of integral solutions….Pages 168-186
The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators….Pages 187-202
On the differentiability of nonlinear semigroups….Pages 203-208
Semigroups generated by a convolution equation….Pages 209-226
A ɛ -bounded, finite rank perturbations of s.c. group generators A: Counterexamples to generation and to another condition for well-posedness….Pages 227-253
A semigroup proof of the Sharpe-Lotka theorem….Pages 254-268
Integrable resolvent operators for integrodifferential equations in Hilbert space….Pages 269-278
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