On Second Order Diff. Operators with Different B. C.& Weight Functions | Mathematics Ordinary Differential Equations

Khelan Hussien (u. a.)

ISBN 10: 3847333836 / ISBN 13: 9783847333838

Published by LAP Lambert Academic Publishing, 2012

About this Item

On Second Order Diff. Operators with Different B. C.& Weight Functions | Mathematics Ordinary Differential Equations | Khelan Hussien (u. a.) | Taschenbuch | Englisch | LAP Lambert Academic Publishing | EAN 9783847333838 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.

Seller Inventory # 106667686

Bibliographic Details

• Title: On Second Order Diff. Operators with Different B. C.& Weight Functions | Mathematics Ordinary Differential Equations
• Publisher: LAP Lambert Academic Publishing
• Publication Date: 2012
• Language: English
• ISBN 10: 3847333836
• ISBN 13: 9783847333838
• Binding: Taschenbuch
• Condition: Neu
• Seller catalogs:
  • Bücher

About this title

Synopsis

The aim of this book is to present some types of spectral problems, which includes second order differential equation with different boundary conditions for each type. The book studies the properties of eigenvalues and estimation of normalized eigenfunctions with different cases of weight functions, in both regular and irregular cases. It also estimates the Green’s functions to the spectral problem. Firstly, the spectrum to model, which is defined in chapter two, are real and the normalized eigenfunctions to that model with different cases of weight functions are estimated. Secondly, it is shown that the eigenvalues are located in upper half plane and are complex (i.e. pure imaginary); the asymptotic behavior of eigenvalues is shown through the model approaches to the infinity and the normalized eigenfunctions are proved to be uniformly bounded in both regular and irregular cases, whenever the weight functions are smooth and ρ(x)∈C^2 (0,a) and q(x)∈C(0,a). Finally, we found the upper bound for norm to the Green’s function which is defined in chapter four in the regular case.

About the Author

Khelan Hussien (1985) was boren in Sulaimani-Kurdistan, Iraq. Received her B.Sc. and M.Sc. degree in Mathematics in 2007 and 2011 from Sulaimani University. She is an assistant lecturer in the Mathematics Department at the University of Sulaimani.