A unified theory for first-order discontinuous scalar differential equations
✍ Scribed by S. Heikkilä; V. Lakshmikantham
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 744 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
Nonimprovable e ective su cient conditions for solvability and unique solvability of the boundary value problem where F : C([a; b]; R) → L([a; b]; R) is a continuous operator satisfying the Carath eodory condition and h : C([a; b]; R) → R is a continuous functional, are established.
In this paper, we propose a new discontinuous finite element method to solve initial value problems for ordinary differential equations and prove that the finite element solution exhibits an optimal O(Dt p+1 ) convergence rate in the L 2 norm. We further show that the p-degree discontinuous solution