Evans Mogoi (25 results)
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Essay aus dem Jahr 2019 im Fachbereich Mathematik - Algebra, , Sprache: Deutsch, Abstract: Difference equations have been studied for many years. Actually, Sturm-Lioville equations and their discrete counterparts, Jacobi matrices are analyzed using… similar and related methods. However much is needed to be done in terms of spectral theory in the discrete setting. Therefore, the objective of the study is to compute the deficiency indices, approximate the eigenvalues and establish the dichotomy condition of a Fourth Order Difference equation with Unbounded Coefficients on a Hilbert Space.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, , course: pure mathematics, language: English, abstract: Jacobi matrices together with Sturm-Liouville operators and have already been developed in parallel for many… years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The main objective of this study is to compute the deficiency indices of Fourth order difference operator.
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, , course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a fourth order self-ad…joint extension operator of minimal operator generated by difference equation defined on a weighted Hilbert space with the weight function w(t) > 0, t N where p(t), q(t), r(t) and m(t) are real-valued functions.The author has applied the M-matrix theory as developed in Hinton and Shaw in order to compute the spectral multiplicity and the location of the absolutely continuous spectrum of self-adjoint extension operator. These results have been an extension of some known spectral results of fourth order differential operators to difference setting. Similarly, they have extended results found in Jacobi matrices.In this thesis, chapter 1 is about introduction and some preliminary results including literature review, objectives, methodology and basic definitions. In chapter 2, the author has given the results on the computation of the eigenvalues, dichotomy conditions and some results on singular continuous spectrum. Chapter 3 contains the main results in deficiency indices, absolutely continuous spectrum and the spectral multiplicity. Finally, the author has summarized his results in chapter 4 and also highlighted areas of further research.
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Taschenbuch. Condition: Neu. Spectral theory of difference operators | Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space | Evans Mogoi | Taschenbuch | 64 S. | Englisch | 2017 | LAP LAMBERT Academic Publishing | EAN 9783659742873 | Verantwortliche Person für die EU:… OmniScriptum GmbH & Co. KG, Bahnhofstr. 28, 66111 Saarbrücken, info[at]akademikerverlag[dot]de | Anbieter: preigu.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, , course: pure mathematics, language: English, abstract: Jacobi matrices together with Sturm-Liouville operators and have already been developed in p…arallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The main objective of this study is to compute the deficiency indices of Fourth order difference operator. 20 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, , course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a four…th order self-adjoint extension operator of minimal operator generated by difference equation defined on a weighted Hilbert space with the weight function w(t) > 0, t N where p(t), q(t), r(t) and m(t) are real-valued functions.The author has applied the M-matrix theory as developed in Hinton and Shaw in order to compute the spectral multiplicity and the location of the absolutely continuous spectrum of self-adjoint extension operator. These results have been an extension of some known spectral results of fourth order differential operators to difference setting. Similarly, they have extended results found in Jacobi matrices.In this thesis, chapter 1 is about introduction and some preliminary results including literature review, objectives, methodology and basic definitions. In chapter 2, the author has given the results on the computation of the eigenvalues, dichotomy conditions and some results on singular continuous spectrum. Chapter 3 contains the main results in deficiency indices, absolutely continuous spectrum and the spectral multiplicity. Finally, the author has summarized his results in chapter 4 and also highlighted areas of further research. 60 pp. Englisch.
Language: English
Published by LAP LAMBERT Academic Publishing Sep 2017, 2017
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Sturm-Liouville operators and Jacobi matrices have so far been developed in parallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in… higher order operators. Thus, we have investigated the deficiency indices of fourth order difference operator generated by a fourth order difference equation and located the absolutely continuous spectrum of its self-adjoint extension as well as the spectral multiplicity using the M-matrix. The results are useful to mathematicians and can be applied in quantum mechanics to calculate time dilation and length contraction as used in Lorentz-Fotzgeralds transformations. The study has been carried out through asymptotic summation as outlined in Levinson Benzaid Lutz theorem. This involved: reduction of a fourth order difference equation into first order, computation of the eigenvalues, proof of uniform dichotomy condition, calculating the deficiency indices and locating absolutely continuous spectrum. In this case we have found the absolutely continuous spectrum to be the whole set of real numbers of spectral multiplicity one. 64 pp. Englisch.
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Academic Paper from the year 2019 in the subject Mathematics - Analysis, grade: A, , course: pure mathematics, language: English, abstract: Jacobi matrices together with Sturm-Liouville operators and have already been developed in paral…lel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in higher order operators. The main objective of this study is to compute the deficiency indices of Fourth order difference operator.GRIN Publishing GmbH, Waltherstraße 23, 80337 München 20 pp. Englisch.
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Mogoi EvansMogoi N. Evans is a mathematics instructor at Eregi Teachers Training College. He studied Mathematics and Physics at Kampala International University and holds MSC degree in Pure Mathematics…from Maseno University.He also .
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Taschenbuch. Condition: Neu. Asymptotic Condition and Deficiency Indices of Difference Operators | Evans Mogoi | Taschenbuch | 20 S. | Englisch | 2019 | GRIN Verlag | EAN 9783346011312 | Verantwortliche Person für die EU: GRIN Publishing GmbH, Waltherstr. 23, 80337 München, info[at]grin[dot]com | Anbieter: preigu Print on Demand….
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Master's Thesis from the year 2015 in the subject Mathematics - Analysis, grade: A, , course: MSC Pure mathematics, language: English, abstract: In this study, the author has investigated the absolutely continuous spectrum of a fourth o…rder self-adjoint extension operator of minimal operator generated by difference equation defined on a weighted Hilbert space with the weight function w(t) > 0, t ¿ N where p(t), q(t), r(t) and m(t) are real-valued functions.The author has applied the M-matrix theory as developed in Hinton and Shaw in order to compute the spectral multiplicity and the location of the absolutely continuous spectrum of self-adjoint extension operator. These results have been an extension of some known spectral results of fourth order differential operators to difference setting. Similarly, they have extended results found in Jacobi matrices.In this thesis, chapter 1 is about introduction and some preliminary results including literature review, objectives, methodology and basic definitions. In chapter 2, the author has given the results on the computation of the eigenvalues, dichotomy conditions and some results on singular continuous spectrum. Chapter 3 contains the main results in deficiency indices, absolutely continuous spectrum and the spectral multiplicity. Finally, the author has summarized his results in chapter 4 and also highlighted areas of further research.Books on Demand GmbH, Überseering 33, 22297 Hamburg 60 pp. Englisch.
Language: English
Published by LAP LAMBERT Academic Publishing Sep 2017, 2017
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Sturm-Liouville operators and Jacobi matrices have so far been developed in parallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in hig…her order operators. Thus, we have investigated the deficiency indices of fourth order difference operator generated by a fourth order difference equation and located the absolutely continuous spectrum of its self-adjoint extension as well as the spectral multiplicity using the M-matrix. The results are useful to mathematicians and can be applied in quantum mechanics to calculate time dilation and length contraction as used in Lorentz-Fotzgeralds transformations. The study has been carried out through asymptotic summation as outlined in Levinson Benzaid Lutz theorem. This involved: reduction of a fourth order difference equation into first order, computation of the eigenvalues, proof of uniform dichotomy condition, calculating the deficiency indices and locating absolutely continuous spectrum. In this case we have found the absolutely continuous spectrum to be the whole set of real numbers of spectral multiplicity one.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 64 pp. Englisch.
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Taschenbuch. Condition: Neu. Absolutely continuous spectrum of fourth order difference operators with unbounded coefficients on a Hilbert space | Evans Mogoi | Taschenbuch | 60 S. | Englisch | 2017 | GRIN Verlag | EAN 9783668531512 | Verantwortliche Person für die EU: GRIN Publishing GmbH, Waltherstr. 23, 80337 München, info[at]…grin[dot]com | Anbieter: preigu Print on Demand.
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Sturm-Liouville operators and Jacobi matrices have so far been developed in parallel for many years. However not much in terms of spectral theory has been done in the discrete setting compared to the continuous version especially in high…er order operators. Thus, we have investigated the deficiency indices of fourth order difference operator generated by a fourth order difference equation and located the absolutely continuous spectrum of its self-adjoint extension as well as the spectral multiplicity using the M-matrix. The results are useful to mathematicians and can be applied in quantum mechanics to calculate time dilation and length contraction as used in Lorentz-Fotzgeralds transformations. The study has been carried out through asymptotic summation as outlined in Levinson Benzaid Lutz theorem. This involved: reduction of a fourth order difference equation into first order, computation of the eigenvalues, proof of uniform dichotomy condition, calculating the deficiency indices and locating absolutely continuous spectrum. In this case we have found the absolutely continuous spectrum to be the whole set of real numbers of spectral multiplicity one.
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Taschenbuch. Condition: Neu. Deficiency Indices, Spectrum,Eigenvalues and Dichotomy Condition of Difference Operators | Evans Mogoi | Taschenbuch | 16 S. | Deutsch | 2019 | GRIN Verlag | EAN 9783668989177 | Verantwortliche Person für die EU: GRIN Publishing GmbH, Waltherstr. 23, 80337 München, info[at]grin[dot]com | Anbieter: pr…eigu Print on Demand.
