Infinite-Dimensional Systems

Inhaltsverzeichnis

• 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.