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| Title: | THEORY OF ORDINARY DIFFERENTIAL EQUATIONS |
| Authors: | FUOYE |
| Keywords: | Differential equations:
Uniqueness theorems
Sonin-Polya theorems
Integral equation |
| Issue Date: | 2-Mar-2015 |
| Abstract: | Differential equations: existence and uniqueness theorems dependence of solution on initial data
and parameters. Properties of solutions. Sturm comparison and Sonin-Polya theorems. Linear and
non-linear systems. Floguet’s theory and stability theory. Integral equations: classification,
volterra and fredlhom types Neumann series. Fredholm alternative for degenerate Hilbert –
Schmidt kernels. Reduction of ordinary differential equations to integral equations. Sysmmetric
kernels, eigen function expansion with application. |
| Description: | Differential equations: existence and uniqueness theorems dependence of solution on initial data
and parameters. Properties of solutions. Sturm comparison and Sonin-Polya theorems. Linear and
non-linear systems. Floguet’s theory and stability theory. Integral equations: classification,
volterra and fredlhom types Neumann series. Fredholm alternative for degenerate Hilbert –
Schmidt kernels. Reduction of ordinary differential equations to integral equations. Sysmmetric
kernels, eigen function expansion with application. |
| URI: | http://repository.fuoye.edu.ng/handle/123456789/293 |
| Appears in Collections: | Mathematics Course Outline
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