A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations
Title | A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations PDF eBook |
Author | Richard Bellman |
Publisher | |
Pages | 168 |
Release | 1949 |
Genre | Boundaries |
ISBN |
A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations
Title | A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations PDF eBook |
Author | Richard Bellman |
Publisher | |
Pages | 166 |
Release | 1949 |
Genre | Boundaries |
ISBN |
A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations
Title | A Survey of the Theory of the Boundedness, Stability and Aasymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations PDF eBook |
Author | Richard Bellman |
Publisher | |
Pages | 170 |
Release | 1949 |
Genre | Difference equations |
ISBN |
A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations
Title | A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Differences Equations PDF eBook |
Author | Richard Bellman |
Publisher | |
Pages | 156 |
Release | 1949 |
Genre | Boundaries |
ISBN |
Stability Theory of Differential Equations
Title | Stability Theory of Differential Equations PDF eBook |
Author | Richard Bellman |
Publisher | Courier Corporation |
Pages | 178 |
Release | 2013-02-20 |
Genre | Mathematics |
ISBN | 0486150135 |
Suitable for advanced undergraduates and graduate students, this was the first English-language text to offer detailed coverage of boundedness, stability, and asymptotic behavior of linear and nonlinear differential equations. It remains a classic guide, featuring material from original research papers, including the author's own studies. The linear equation with constant and almost-constant coefficients receives in-depth attention that includes aspects of matrix theory. No previous acquaintance with the theory is necessary, since author Richard Bellman derives the results in matrix theory from the beginning. In regard to the stability of nonlinear systems, results of the linear theory are used to drive the results of Poincaré and Liapounoff. Professor Bellman then surveys important results concerning the boundedness, stability, and asymptotic behavior of second-order linear differential equations. The final chapters explore significant nonlinear differential equations whose solutions may be completely described in terms of asymptotic behavior. Only real solutions of real equations are considered, and the treatment emphasizes the behavior of these solutions as the independent variable increases without limit.
Ordinary Differential Equations in the Complex Domain
Title | Ordinary Differential Equations in the Complex Domain PDF eBook |
Author | Einar Hille |
Publisher | Courier Corporation |
Pages | 514 |
Release | 1997-01-01 |
Genre | Mathematics |
ISBN | 9780486696201 |
Graduate-level text offers full treatments of existence theorems, representation of solutions by series, theory of majorants, dominants and minorants, questions of growth, much more. Includes 675 exercises. Bibliography.
Boundedness and Periodicity of Solutions of the Generalized Li©Øenard Equation
Title | Boundedness and Periodicity of Solutions of the Generalized Li©Øenard Equation PDF eBook |
Author | W. R. Utz |
Publisher | |
Pages | 72 |
Release | 1956 |
Genre | Cycles |
ISBN |