Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients
Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{a...
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| Published in | Mathematische Nachrichten Vol. 286; no. 4; pp. 323 - 339 |
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| Format | Journal Article |
| Language | English French German |
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WILEY-VCH Verlag
01.03.2013
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| Abstract | Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}$\end{document} with a spectral multiplicity one. |
|---|---|
| AbstractList | Abstract
Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be
\documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}$\end{document}
with a spectral multiplicity one. Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}$\end{document} with a spectral multiplicity one. [PUBLICATION ABSTRACT] Using subspace theory together with appropriate smoothness and decay conditions, we calculated the deficiency indices and absolutely continuous spectrum of fourth order difference equations with unbounded coefficients. In particular, we found the absolutely continuous spectrum to be \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {R}}$\end{document} with a spectral multiplicity one. |
| Author | Agure, John Ogonji Nyamwala, Fredrick Oluoch Ambogo, David Otieno |
| Author_xml | – sequence: 1 givenname: John Ogonji surname: Agure fullname: Agure, John Ogonji email: johnagure@yahoo.com organization: School of Mathematics, Applied Statistics & Actuarial Science, Maseno University, Box 333 Maseno, Kenya – sequence: 2 givenname: David Otieno surname: Ambogo fullname: Ambogo, David Otieno email: otivoe@yahoo.com organization: School of Mathematics, Applied Statistics & Actuarial Science, Maseno University, Box 333 Maseno, Kenya – sequence: 3 givenname: Fredrick Oluoch surname: Nyamwala fullname: Nyamwala, Fredrick Oluoch email: foluoch2000@yahoo.com organization: School of Mathematics, Applied Statistics & Actuarial Science, Maseno University, Box 333 Maseno, Kenya |
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| Title | Deficiency indices and spectrum of fourth order difference equations with unbounded coefficients |
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