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Advanced Differential Equations (Paperback)
Loot Price: R3,540
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Advanced Differential Equations (Paperback)
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Advanced Differential Equations provides coverage of high-level
topics in ordinary differential equations and dynamical systems.
The book delivers difficult material in an accessible manner,
utilizing easier, friendlier notations and multiple examples.
Sections focus on standard topics such as existence and uniqueness
for scalar and systems of differential equations, the dynamics of
systems, including stability, with examples and an examination of
the eigenvalues of an accompanying linear matrix, as well as
coverage of existing literature. From the eigenvalues' approach, to
coverage of the Lyapunov direct method, this book readily supports
the study of stable and unstable manifolds and bifurcations.
Additional sections cover the study of delay differential
equations, extending from ordinary differential equations through
the extension of Lyapunov functions to Lyapunov functionals. In
this final section, the text explores fixed point theory, neutral
differential equations, and neutral Volterra integro-differential
equations.
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