Phases and oscillation theory of second order difference equations
In the dissertation thesis we present results about the oscillatory properties of second order linear difference equations and their connection to phases. Namely, we introduce a concept of first and second phases of Sturm-Liouville difference equations (S-L), and we show the relation between both ph...
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| Typ dokumentu: | VŠ práce nebo rukopis |
| Jazyk: | Angličtina |
| Vydáno: |
2007
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| On-line přístup: | Elektronická verze přístupná pouze pro studenty a pracovníky MU |
| Shrnutí: | In the dissertation thesis we present results about the oscillatory properties of second order linear difference equations and their connection to phases. Namely, we introduce a concept of first and second phases of Sturm-Liouville difference equations (S-L), and we show the relation between both phases and its connection to the oscillatory properties of (S-L). By means of the phase theory and the Riccati equation the conjugacy of (S-L) is studied. We also study some algebraic properties of (S-L), especially connection between second order linear difference equations, 2x2 symplectic systems, three-term recurrence relations and tridiagonal symmetric matrices and their transformations into their trigonometric counterparts. |
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| Popis jednotky: | Vedoucí práce: Zuzana Došlá |
| Fyzický popis: | 1 CD-ROM |