Some researches on solutions of the operator equation \(Nx=\delta Lx\). (Chinese. English summary) Zbl 1235.47053
Summary: In this paper, the zero indicator operator \(L\) and the completely continuous operator equation \(Nx=\delta Lx\) are studied by virtue of a multiple topological degree and some inequalities. Some new theorems are obtained and some important conclusions are generalized. The results are applied to some special differential equations.
MSC:
| 47J05 | Equations involving nonlinear operators (general) |
| 47H11 | Degree theory for nonlinear operators |
| 60H25 | Random operators and equations (aspects of stochastic analysis) |
