Optimal Control Problems for Integrodifferential Equations of Volterra Type. (2002)
In this paper the optimal control problem for integrodifferential equations of Volterra type are investigated where the targets sets are elements of some function space. The approach used is the...
Spline Approximations for Functional Differential Equations. (2002)
We develop an approximation framework for linear hereditary systems which includes as special cases approximation schemes employing splines of arbitrary order. Numerical results for first and third...
Spline Approximation for Retarded Systems and the Riccati Equation. (2002)
The purpose of this paper is to introduce a new spline approximation scheme for retarded functional differential equations. The special feature of this approximation scheme is that it preserves the...
Approximation of Infinite Delay and Volterra Type Equations. (2002)
Linear autonomous functional differential equations of neutral type include Volterra integral and integrodifferential equations as special cases. The paper considers numerical approximation of...
A Uniformly Differentiable Approximation Scheme for Delay Systems Using Splines, (1998)
A new spline-based scheme is developed for linear retarded functional differential equations within the framework for semigroups on a certain Hilbert space formula. The approximating semigroups...
Desch, W., Kappel, F., Kunisch, K.
About fifty participants from fifteen different countries attended the International Conference on Control and Estimation of Distributed Parameter Systems held at the Chorherrenstift Vorau (Austria),...
Desch, W., Kappel, F., Kunisch, K.
The International Conference on Control and Estimation of Distributed Parameter Systems took place from July 14-20, 1996, at the Bildungshaus Chorherrenstift Vorau in Vorau (Austria). It was the...
Weak Solutions And Differentiability For Size-Structured Population Models (1990)
Southern California, F. Kappel, H. T. Banks, H. T. Banks, C. Wang, C. Wang
1 This research was supported in part by the National Science Foundation (USA) under NSF grants DMS-8818530 and UINT-8521208 and in part by the FWF (Austria) under grants S3206 and P6005. 1....
On Integro-Differential Equations With Weak Singularity Kernels (1990)
K. Ito, F. Kappel, Southern California, Kazufumi Ito
In this paper we consider a class of integro-differential equations with weak singular kernels. Such an equation is treated using the theory of linear C 0 \Gammasemigroup. The differentiability of...