Nonlinear Analysis and Differential Equations
by Klaus Schmitt, Russell C. Thompson
Publisher: University of Utah 2004
Number of pages: 158
The intent of this set of notes is to present several of the important existence theorems for solutions of various types of problems associated with differential equations and provide qualitative and quantitative descriptions of solutions. At the same time, we develop methods of analysis which may be applied to carry out the above and which have applications in many other areas of mathematics, as well.
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by Wong Yan Loi - National University of Singapore
From the table of contents: First Order Differential Equations; Linear Differential Equations; Second Order Linear Differential Equations; Linear Differential Systems; Power Series Solutions; Fundamental Theory of Ordinary Differential Equations.
by Michael F. Singer - arXiv
The author's goal was to give the audience an introduction to the algebraic, analytic and algorithmic aspects of the Galois theory of linear differential equations by focusing on some of the main ideas and philosophies and on examples.
by H. B. Phillips - John Wiley & Sons
With the formal exercise in solving the usual types of ordinary differential equations it is the object of this text to combine a thorough drill in the solution of problems in which the student sets up and integrates his own differential equation.
by R.S. Johnson - Bookboon
This text provides an introduction to all the relevant material normally encountered at university level: series solution, special functions, Sturm-Liouville theory and the definition, properties and use of various integral transforms.