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Lyapunov Inequalities and Applications (Hardcover, 1st ed. 2021)
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Lyapunov Inequalities and Applications (Hardcover, 1st ed. 2021)
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This book provides an extensive survey on Lyapunov-type
inequalities. It summarizes and puts order into a vast literature
available on the subject, and sketches recent developments in this
topic. In an elegant and didactic way, this work presents the
concepts underlying Lyapunov-type inequalities, covering how they
developed and what kind of problems they address. This survey
starts by introducing basic applications of Lyapunov's
inequalities. It then advances towards even-order, odd-order, and
higher-order boundary value problems; Lyapunov and Hartman-type
inequalities; systems of linear, nonlinear, and quasi-linear
differential equations; recent developments in Lyapunov-type
inequalities; partial differential equations; linear difference
equations; and Lyapunov-type inequalities for linear, half-linear,
and nonlinear dynamic equations on time scales, as well as linear
Hamiltonian dynamic systems. Senior undergraduate students and
graduate students of mathematics, engineering, and science will
benefit most from this book, as well as researchers in the areas of
ordinary differential equations, partial differential equations,
difference equations, and dynamic equations. Some background in
calculus, ordinary and partial differential equations, and
difference equations is recommended for full enjoyment of the
content.
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