On Second Order Diff. Operators with Different B. C.& Weight Functions: Mathematics Ordinary Differential Equations - Couverture souple

Hussien, Khelan; Jwamer, Karwan

 
9783847333838: On Second Order Diff. Operators with Different B. C.& Weight Functions: Mathematics Ordinary Differential Equations
Couverture souple
ISBN 10 : 3847333836 ISBN 13 : 9783847333838
Editeur : LAP LAMBERT Academic Publishing, 2012

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Biographie de l'auteur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2012
Langue
anglais
ISBN 10 
3847333836
ISBN 13 
9783847333838
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
Personne responsable
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