The method of mixed monotony and first order differential systems
β Scribed by Mohammad Khavanin; V. Lakshmikantham
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 268 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We apply the new algorithm developed by Mika and Palczewski for singularly perturbed systearm of ordinary differential equ~tiom to systems of second order equations closely related to a discretised version of the telegraph equation.
The classical overrelaxation method, applicable to second order elliptic partial differential equations, is extended to hybrid systems of ftrst order equations. It is shown both by theory and by an example that the method has first order convergence rate.
We study the application of the so-called mixed interpolation methods derived by De Meyer. Vanthournout and Vanden Berghe (1990) in the numerical solution of Volterra integro-differential equations of first and second order with periodic solutions. The existence of periodic solutions is examined and
## Abstract A general construction for the Friedrichs extension of symmetric semiβbounded block operators with not necessarily bounded entries, acting in the product of Hilbert spaces has been given by Konstantinov and Mennicken via the form There the entry __A__ was assumed to be essentially sel