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Author  Title  Accn#  Year  Item Type  Claims 
1 
Seshadev Padhi 
Theory of thirdorder differntial equations 
026048 
2014 
Book 

2 
George Dassios 
Ellipsoidal harmonic: Theory and Applications 
024459 
2012 
Book 


1.


Title  Theory of thirdorder differntial equations 
Author(s)  Seshadev Padhi;Smita Pati 
Publication  New Delhi, Springer, 2014. 
Description  xv, 505p. 
Abstract Note  This book discusses the theory of thirdorder differential equations. Most of the results are derived from the results obtained for thirdorder linear homogeneous differential equations with constant coefficients. M. Gregus, in his book written in 1987, only deals with thirdorder linear differential equations. These findings are old, and new techniques have since been developed and new results obtained. 
Contents Note  Chapter 1 introduces the results for oscillation and nonoscillation of solutions of thirdorder linear differential equations with constant coefficients, and a brief introduction to delay differential equations is given. The oscillation and asymptotic behavior of nonoscillatory solutions of homogeneous thirdorder linear differential equations with variable coefficients are discussed in Ch. 2. The results are extended to thirdorder linear nonhomogeneous equations in Ch. 3, while Ch. 4 explains the oscillation and nonoscillation results for homogeneous thirdorder nonlinear differential equations. Chapter 5 deals with the ztype oscillation and nonoscillation of thirdorder nonlinear and nonhomogeneous differential equations. Chapter 6 is devoted to the study of thirdorder delay differential equations. Chapter 7 explains the stability of solutions of thirdorder equations. Some knowledge of differential equations, analysis and algebra is desirable, but not essential, in order to study the topic. 
ISBN,Price  9788132216131 : Euro 94.99(HB) 
Classification  517.925

Keyword(s)  1. DIFFERENCE EQUATIONS
2. NON HOMOGENEOUS EQUATIONS
3. THIRDORDER DIFFERENTIAL EQUATIONS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
026048 

517.925/PAD/026048 
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2.
 
Title  Ellipsoidal harmonic: Theory and Applications 
Author(s)  George Dassios 
Publication  Cambridge, Cambridge University Press, 2012. 
Description  xvi, 458p. 
Series  (Encyclopedia of Mathematics and its Applications) 
Abstract Note  The 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 biharmonic 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. Endofchapter 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,Price  9780521113090 : UPK 70.00(HB) 
Classification  517.925

Keyword(s)  1. ELLIPSOIDAL GEOMETRY
2. ELLIPSOIDAL HRMONICS
3. LAME FUNCTIONS
4. ORDINARY DIFFERENTIAL EQUATION
5. SURFACE PERTURBATIONS

Item Type  Book 
Circulation Data
Accession#  
Call#  Status  Issued To  Return Due On  Physical Location 
024459 

517.925/DAS/024459 
On Shelf 



+Copy Specific Information  