## Abstract A major drawback of the penalty function method in solving constrained variational problems is the difficulty in choosing suitable penalty parameters that are large enough to effect a constraint but small enough to avoid computational problems. This problem stems from the fact that the
The use of negative penalty functions in solving partial differential equations
โ Scribed by Ilanko, Sinniah ;Tucker, Alan
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 101 KB
- Volume
- 21
- Category
- Article
- ISSN
- 1069-8299
- DOI
- 10.1002/cnm.729
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## Abstract In this short note, we focus on tyings (constraints that relate multiple degrees of freedom) modelled by means of penalty functions. In contrast to what is commonly thought, it is possible to obtain convergent results when negative penalty parameters are taken. A mathematical proof and
A system of functional differential equations with delay dz/dt = Z t z t , where Z is the vector-valued functional is considered. It is supposed that this system has a zero solution z = 0. Definitions of its partial stability, partial asymptotical stability, and partial equiasymptotical stability ar
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