Author(s): W. Arendt (auth.), Franz Kappel, Wilhelm Schappacher (eds.)
Series: Lecture Notes in Mathematics 1076
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1984
Language: English
Pages: 282
Tags: Analysis
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
