Smoothness of solutions of conjugate boundary-value problems on a measure chain
In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary conditions. We show that solutions depend continuously...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2000-07-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2000/54/abstr.html |
| Summary: | In this paper we consider the n-th order $Delta$-differential equation (often refered to as a differential equation on a measure chain) $$u^{Delta_n}(t) = f(t, u(sigma(t)),dots, u^{Delta_{n-1}}(sigma(t)))$$ satisfying n-point conjugate boundary conditions. We show that solutions depend continuously and smoothly on the boundary values. |
|---|---|
| ISSN: | 1072-6691 |