TitleInfinite-Dimensional Systems [electronic resource] : Proceedings of the Conference on Operator Semigroups and Applications held in Retzhof (Styria), Austria, June 5-11, 1983 / edited by Franz Kappel, Wilhelm Schappacher
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1984
Connect tohttp://dx.doi.org/10.1007/BFb0072759
Descript X, 282 p. online resource

CONTENT

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 โ 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


SUBJECT

  1. Mathematics
  2. Mathematical analysis
  3. Analysis (Mathematics)
  4. Functional analysis
  5. Topology
  6. Mathematics
  7. Functional Analysis
  8. Analysis
  9. Topology