A Survey of the Theory of the Boundedness, Stability, and Asymptotic Behavior of Solutions of Linear and Non-linear Differential and Difference Equations PDF Download
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Author: Richard Bellman
Publisher:
ISBN:
Category : Boundaries
Languages : en
Pages : 168
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Book Description
Author: Richard Bellman
Publisher:
ISBN:
Category : Boundaries
Languages : en
Pages : 168
Get Book Here
Book Description
Author: Richard Bellman
Publisher:
ISBN:
Category : Boundaries
Languages : en
Pages : 166
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Book Description
Author: Richard Bellman
Publisher:
ISBN:
Category : Difference equations
Languages : en
Pages : 170
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Book Description
Author: Richard Bellman
Publisher:
ISBN:
Category : Boundaries
Languages : en
Pages : 156
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Book Description
Author: Richard Bellman
Publisher: Courier Corporation
ISBN: 0486150135
Category : Mathematics
Languages : en
Pages : 178
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Book Description
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.
Author: Einar Hille
Publisher: Courier Corporation
ISBN: 9780486696201
Category : Mathematics
Languages : en
Pages : 514
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Book Description
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.
Author: W. R. Utz
Publisher:
ISBN:
Category : Cycles
Languages : en
Pages : 72
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Book Description
Author: Lev Ėrnestovich Ėlʹsgolʹt͡s
Publisher: American Mathematical Soc.
ISBN: 0821815628
Category : Mathematics
Languages : en
Pages : 262
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Book Description
Author: Francis J. Murray
Publisher: Courier Corporation
ISBN: 0486154955
Category : Mathematics
Languages : en
Pages : 178
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Book Description
This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.
Author: Lev Ėrnestovich Ėlʹsgolʹt͡s
Publisher: American Mathematical Soc.
ISBN: 9780821886465
Category : Mathematics
Languages : en
Pages : 264
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Book Description
