Under reasonable conditions the solution of a singularly perturbed initial-value problem converges as a distribution to the solution of the reduced problem. Key Wo~Linear differential equations; Laplace transforms; boundary-value problems; optimal control; singular control Abatraet--A singularly per
✦ LIBER ✦
Convergence and boundary layers in singularly perturbed linear functional differential equations
✍ Scribed by Luis T Magalhães
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 735 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-0396
No coin nor oath required. For personal study only.
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## Abstract We study the boundary‐value problems for singularly perturbed differential‐difference equations with small shifts. Similar boundary‐value problems are associated with expected first‐exit time problems of the membrane potential in models for activity of neurons (__SIAM J. Appl. Math.__ 1