Disconjugacy of Linear Difference Equation
碩士 === 淡江大學 === 數學學系 === 85 === In this work,we adopt the Green's functions of ordinary difference equations to find the sufficient condition for any even order linear difference equationto be disconjugate.First, we discuss the propert...
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
1997
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| Online Access: | http://ndltd.ncl.edu.tw/handle/45186607864377540117 |
| Summary: | 碩士 === 淡江大學 === 數學學系 === 85 === In this work,we adopt the Green's functions of ordinary
difference equations to find the sufficient condition for any
even order linear difference equationto be disconjugate.First,
we discuss the properties of the Green's functions and the
conditions of the nontrivial solutions of boundary-value
problems. Applying these properties, we derive the sufficient
conditions of the solutions of boundary-value problems to be
disconjugate. From the literature, we see that to use Green's
functions to research the disconjugacy is not easy. It will be
good for working on the properties of disconjugacy by applying
the well-known Green's functions. We hope that our work will be
good for the future research on the sufficient conditions of
the solutions of the boundary-value problems to be disconjugacy.
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