Please use this identifier to cite or link to this item: http://hdl.handle.net/10603/564586
Title: Qualitative properties of difference equations and its applications
Researcher: Sumathy, M
Guide(s): Maria Susai Manuel M
Keywords: Difference equation
Mathematics
Mathematics Applied
Oscillation
Physical Sciences
Qualitative properties
University: Anna University
Completed Date: 2024
Abstract: The core of the thesis focuses on the Qualitative properties of newlinesolutions of Riccati Difference equation concur with Riccati transformation newlinetechnique. Oscillation is one of the most prominent and fascinating topics in newlinethe field of qualitative properties of solutions of difference equations. newlineOver the last few decades, there has been active research towards the newlineanalysis of the solutions of equations using and#8710;. Nevertheless, the same analysis newlinefor difference equations associated with and#8710; newline` newlineand and#8710; newlineand#945;(`) newlineis infrequent. In recent years, newlinethe study of resolving Riccati Difference equations for optimal control problems newlinehas risen as a distinct area of modern research. newlineThe current study is divided into seven chapters that discuss the newlineoscillatory and non-oscillatory properties of different classifications of neutral newlinedelay difference equations, as well as other qualitative properties such as newlineboundedness, monotonicity, and convergence of solutions. newlineChapter 1 is an introductory chapter that provides an overview of newlinethe work incorporated in the thesis and intends to provide basic definitions, newlinepreliminary lemmas, and notations that will be required in the following newlinechapters. newlineIn Chapter 2, the Oscillatory properties for the third-order nonlinear newlineneutral distributed delay generalized difference equation of the form newline
Pagination: xv,148p.
URI: http://hdl.handle.net/10603/564586
Appears in Departments:Faculty of Science and Humanities

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02_prelim pages.pdf2.61 MBAdobe PDFView/Open
03_content.pdf220.65 kBAdobe PDFView/Open
04_abstract.pdf149.73 kBAdobe PDFView/Open
05_chapter1.pdf204.87 kBAdobe PDFView/Open
06_chapter2.pdf239.14 kBAdobe PDFView/Open
07_chapter3.pdf255.29 kBAdobe PDFView/Open
08_chapter4.pdf245.48 kBAdobe PDFView/Open
09_chapter5.pdf224.94 kBAdobe PDFView/Open
10_chapter6.pdf938.12 kBAdobe PDFView/Open
11_chapter7.pdf3.29 MBAdobe PDFView/Open
12_annexures.pdf60.35 kBAdobe PDFView/Open
80_recommendation.pdf82.74 kBAdobe PDFView/Open
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