Abstract
Existence results are presented for the singular Volterra integral equation y(t) = h(t) + integral(0)(t) k(t, s)f(s, y(s)) ds, for t is an element of [0, T]. Here f may be singular at y = 0. As a consequence new results are presented for the nth order singular initial value problem. (C) 1999 Elsevier Science Ltd. All rights reserved.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 115-120 |
| Number of pages | 6 |
| Journal | Applied Mathematics Letters |
| Volume | 13 |
| Issue number | 1 |
| Publication status | Published - 1 Jan 2000 |
Keywords
- L-carathéodory function
- Singular initial value problem
- Singular Volterra integral equation
Authors (Note for portal: view the doc link for the full list of authors)
- Authors
- Agarwal, RP,O'Regan, D
Fingerprint
Dive into the research topics of 'Singular Volterra integral equations'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver