On a multipoint nonlocal initial value problem for a singularly-perturbed first-order ODE
A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered. The existence of a classical solution of the multipoint nonlocal initial value problem (NLIVP) is proved. A uniform on $\varepsil...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
EJAAM
2019-12-01
|
| Series: | E-Journal of Analysis and Applied Mathematics |
| Subjects: | |
| Online Access: | https://ejaam.org/articles/2019/10.2478-ejaam-2019-0006.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | A linear first order ordinary differential equation (ODE) with a positive parameter $\varepsilon$ and a multipoint nonlocal initial value condition (NLIVC) is considered. The existence of a classical solution of the multipoint nonlocal initial value problem (NLIVP) is proved. A uniform on $\varepsilon$ a priori estimate and asymptotic expansion of smooth solution is obtained. The differential problem with integral kind of NLIVC is considered and reduced to appropriate multipoint NLIVP. |
|---|---|
| ISSN: | 2544-9990 |