Abstract
In this article, we use mathematical induction to derive the representation of the solution of conformable impulsive linear differential equations with constant coefficients. We present the existence of solutions to impulsive nonlinear differential equations with constant coefficients under mild conditions on the nonlinear term. In addition, we consider the concepts of Ulam stability for this type of equation and give Ulam-Hyers and Ulam-Hyers-Rassias stability results. Finally, we give examples to verify our theoretical results.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 1613-1637 |
| Number of pages | 25 |
| Journal | Bulletin Of The Iranian Mathematical Society |
| Volume | 46 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 1 Feb 2020 |
Keywords
- Conformable impulsive differential equations
- Existence of solutions
- Ulam–Hyers and Ulam–Hyers–Rassias stability
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Qiu, WZ,Wang, JR,O'Regan, D
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