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 #  AuthorTitleAccn#YearItem Type Claims
1 Seshadev Padhi Theory of third-order differntial equations 026048 2014 Book  
2 George Dassios Ellipsoidal harmonic: Theory and Applications 024459 2012 Book  
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TitleTheory of third-order differntial equations
Author(s)Seshadev Padhi;Smita Pati
PublicationNew Delhi, Springer, 2014.
Descriptionxv, 505p.
Abstract NoteThis book discusses the theory of third-order differential equations. Most of the results are derived from the results obtained for third-order linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with third-order linear differential equations. These findings are old, and new techniques have since been developed and new results obtained.
Contents NoteChapter 1 introduces the results for oscillation and non-oscillation of solutions of third-order linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of non-oscillatory solutions of homogeneous third-order linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to third-order linear non-homogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and non-oscillation results for homogeneous third-order nonlinear differential equations. Chapter 5 deals with the z-type oscillation and non-oscillation of third-order nonlinear and non-homogeneous differential equations. Chapter 6 is devoted to the study of third-order delay differential equations. Chapter 7 explains the stability of solutions of third-order equations. Some knowledge of differential equations, analysis and algebra is desirable, but not essential, in order to study the topic.
ISBN,Price9788132216131 : Euro 94.99(HB)
Classification517.925
Keyword(s)1. DIFFERENCE EQUATIONS 2. NON HOMOGENEOUS EQUATIONS 3. THIRD-ORDER DIFFERENTIAL EQUATIONS
Item TypeBook

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Accession#  Call#StatusIssued ToReturn Due On Physical Location
026048   517.925/PAD/026048  On Shelf    

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TitleEllipsoidal harmonic: Theory and Applications
Author(s)George Dassios
PublicationCambridge, Cambridge University Press, 2012.
Descriptionxvi, 458p.
Series(Encyclopedia of Mathematics and its Applications)
Abstract NoteThe sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, originated in the nineteenth century, could only be seriously applied with the kind of computational power available in recent years. This, therefore, is the first book devoted to ellipsoidal harmonics. Topics are drawn from geometry, physics, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal bi-harmonic functions, the theory of images in ellipsoidal geometry and vector surface ellipsoidal harmonics, which exhibit an interesting analytical structure. Extended appendices provide everything one needs to solve formally boundary value problems. End-of-chapter problems complement the theory and test the reader's understanding. The book serves as a comprehensive reference for applied mathematicians, physicists, engineers and for anyone who needs to know the current state of the art in this fascinating subject.
ISBN,Price9780521113090 : UPK 70.00(HB)
Classification517.925
Keyword(s)1. ELLIPSOIDAL GEOMETRY 2. ELLIPSOIDAL HRMONICS 3. LAME FUNCTIONS 4. ORDINARY DIFFERENTIAL EQUATION 5. SURFACE PERTURBATIONS
Item TypeBook

Circulation Data
Accession#  Call#StatusIssued ToReturn Due On Physical Location
024459   517.925/DAS/024459  On Shelf    

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