How Long to Read Lyapunov Functionals and Stability of Stochastic Difference Equations

By Leonid Shaikhet

How Long Does it Take to Read Lyapunov Functionals and Stability of Stochastic Difference Equations?

It takes the average reader 6 hours and 19 minutes to read Lyapunov Functionals and Stability of Stochastic Difference Equations by Leonid Shaikhet

Assuming a reading speed of 250 words per minute. Learn more

Description

Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using a Lyapunov functional. Lyapunov Functionals and Stability of Stochastic Difference Equations describes a general method of Lyapunov functional construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues. The text is self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functional construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical systems including inverted pendulum control, study of epidemic development, Nicholson’s blowflies equation and predator–prey relationships. Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems.

How long is Lyapunov Functionals and Stability of Stochastic Difference Equations?

Lyapunov Functionals and Stability of Stochastic Difference Equations by Leonid Shaikhet is 374 pages long, and a total of 94,996 words.

This makes it 126% the length of the average book. It also has 116% more words than the average book.

How Long Does it Take to Read Lyapunov Functionals and Stability of Stochastic Difference Equations Aloud?

The average oral reading speed is 183 words per minute. This means it takes 8 hours and 39 minutes to read Lyapunov Functionals and Stability of Stochastic Difference Equations aloud.

What Reading Level is Lyapunov Functionals and Stability of Stochastic Difference Equations?

Lyapunov Functionals and Stability of Stochastic Difference Equations is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Lyapunov Functionals and Stability of Stochastic Difference Equations?

Lyapunov Functionals and Stability of Stochastic Difference Equations by Leonid Shaikhet is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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