| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4621758 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
Abstract
The existence of extremal solutions of the following functional Cauchy problem [FCP]:(1)xâ²=f(t,x,x(.)),x(0)=0, is investigated here. The main results established for non-functional Cauchy problem [N-FCP] in R [Dariusz Walachowski, Witold Rzymowski, One-dimensional differential equations under weak assumptions, J. Math. Anal. Appl. 198 (1996) 657-670] are generalized here in R, as well as in Rn.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ezzat Ramadan Hassan,