Bibliographic Details
| Title: |
A two dimensional Hammerstein problem: The linear case |
| Authors: |
Jun Hua, James L. Moseley |
| Source: |
Electronic Journal of Differential Equations, Vol Conference, Iss 07, Pp 71-88 (2001) |
| Publisher Information: |
Texas State University, 2001. |
| Publication Year: |
2001 |
| Collection: |
LCC:Mathematics |
| Subject Terms: |
Hammerstein problem, nonlinear differential equation., Mathematics, QA1-939 |
| More Details: |
Nonlinear equations of the form $L[u]=lambda g(u)$ where $L$ is a linear operator on a function space and $g$ maps $u$ to the composition function $gcirc u$ arise in the theory of spontaneous combustion. We assume $L$ is invertible so that such an equation can be written as a Hammerstein equation, $u=B[u]$ where $B[u]=lambda L^{-1}[g(u)]$. To investigate the importance of the growth rate of $g$ and the sign and magnitude of $lambda $ on the number of solutions of such problems, in a previous paper we considered the one-dimensional problem $L(x)=lambda g(x)$ where $L(x)=ax$. This paper extends these results to two dimensions for the linear case. |
| Document Type: |
article |
| File Description: |
electronic resource |
| Language: |
English |
| ISSN: |
1072-6691 |
| Relation: |
http://ejde.math.txstate.edu/conf-proc/07/h2/abstr.html; https://doaj.org/toc/1072-6691 |
| Access URL: |
https://doaj.org/article/d606737be0364190b1e1f5eef63be9e4 |
| Accession Number: |
edsdoj.606737be0364190b1e1f5eef63be9e4 |
| Database: |
Directory of Open Access Journals |
