Abstract
Optimization of Cauchy problem for discrete inclusions is reduced to problem with geometric constraints in Hilbert space ℓ 2 and necessary and sufficient condition for optimality is derived. Both for convex and non-convex partial differential inclusions the Cauchy type optimization is stated and on the basis of apparatus of locally conjugate mappings sufficient conditions are formulated. The obtained results are generalized to the multidimensional case.
| Original language | English |
|---|---|
| Pages (from-to) | 587-610 |
| Number of pages | 24 |
| Journal | Journal of Dynamical and Control Systems |
| Volume | 15 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Oct 2009 |
Keywords
- Approximation
- Cauchy problem
- Improper integral
- Locally conjugate
- Set-valued