Home » Singular Differential Equations and Special Functions

Singular Differential Equations and Special Functions

Luis Manuel Braga da Costa Campos
€65.99
Quantity:
In stock with our UK publisher. 14-28 days
Delivery/Collection within 10-20 working days
14 days return policy Shipping & Delivery
A01=Luis Manuel Braga da Costa Campos
advanced differential equation solution methods
Age Group_Uncategorized
Age Group_Uncategorized
Author_Luis Manuel Braga da Costa Campos
automatic-update
Category1=Non-Fiction
Category=PBF
Category=PBKD
Category=PBKJ
Category=PBW
Category=TBJ
Category=TQ
COP=United Kingdom
Delivery_Pre-order
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Floquet theory applications
Gaussian confluent functions
Language_English
Liapunov stability analysis
multiple parametric resonance
nonlinear dynamical systems
PA=Not yet available
periodic coefficient equations
Price_€20 to €50
PS=Active
softlaunch

Product details

  • ISBN 9781032653754
  • Weight: 620g
  • Dimensions: 156 x 234mm
  • Publication Date: 02 Oct 2023
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
  • Language: English
Secure checkout Fast Shipping Easy returns
Description

Singular Differential Equations and Special Functions is the fifth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology.

This fifth book consists of one chapter (chapter 9 of the set). The chapter starts with general classes of differential equations and simultaneous systems for which the properties of the solutions can be established 'a priori', such as existence and unicity of solution, robustness and uniformity with regard to changes in boundary conditions and parameters, and stability and asymptotic behavior. The book proceeds to consider the most important class of linear differential equations with variable coefficients, that can be analytic functions or have regular or irregular singularities. The solution of singular differential equations by means of (i) power series; (ii) parametric integral transforms; and (iii) continued fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and hypergeometric differential equations, and the special functions that specify their solutions.



  • Includes existence, unicity, robustness, uniformity, and other theorems for non-linear differential equations


  • Discusses properties of dynamical systems derived from the differential equations describing them, using methods such as Liapunov functions


  • Includes linear differential equations with periodic coefficients, including Floquet theory, Hill infinite determinants and multiple parametric resonance


  • Details theory of the generalized Bessel differential equation, and of the generalized, Gaussian, confluent and extended hypergeometric functions and relations with other 20 special functions


  • Examines Linear Differential Equations with analytic coefficients or regular or irregular singularities, and solutions via power series, parametric integral transforms, and continued fractions
About Luis Manuel Braga da Costa Campos
Luis Manuel Braga da Costa Campos graduated in 1972 as a Mechanical Engineer from the Instituto Superior Tecnico (IST) of Lisbon Technical University. His tutorials as a student (1970) were followed by a career at the same institution (IST) through all levels: Assistant (1972) Assistant with tenure (1974) Assistant Professor (1978) Associate Professor (1982) Chair de Applied Mathematics and Mechanics (1985). He has been coordinator of undergraduate and post-graduate degrees in Aerospace Engineering since their creation in 1991. He is also coordinator of the Scientific Area of Applied and Aerospace Mechanics in the Department of Mechanical Engineering and director and founder of the Center for Aeronautical and Space Science and Technology.

More from this author