Interest in singularly perturbed delay and functional differential equations stems from both the analytical mathematics that emerges and from realistic applications where both delays and perturbations play a role. The discussion in the next section examines possible appearances of singular perturbat
Semistable Operators and Singularly Perturbed Differential Equations
β Scribed by J.J Koliha; Trung Dinh Tran
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 97 KB
- Volume
- 231
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
Singularly perturbed nonlinear differentialralgebraic equations DAE's are considered, which are decomposed into two auxiliary problems, called the outer and inner problems, respectively. The structure of solutions of the singularly perturbed DAE's is determined by the outer and inner solutions, both
A singularly perturbed zero-sum differential game with full information is considered. Upper and lower value functions of this game are shown to have limits as the singular perturbations parameter tends to zero. These limits are established to coincide with viscosity solutions of some HamiltonαJacob