Theorem 8.11 Corresponding to an eigenvalue of A , 1 = li , of multiplicity m < n there are m linearly independent solutions of the system i = Ax , where A is a constant matrix . These are of the form Pi ( t ) ell Pm ( t ) etit , ( 8.29 ) ...
This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
Thoroughly updated and expanded 4th edition of the classic text, including numerous worked examples, diagrams and exercises.
This new edition has been expanded to contain an introduction to areas of current importance such as bifurcation, structural stability and chaotic behavior. Other topics include linearization, perturbation theory, subharmonics,...
Nonlinear Ordinary Differential Equations
This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.