How Long to Read The Convergence Problem for Dissipative Autonomous Systems

How Long Does it Take to Read The Convergence Problem for Dissipative Autonomous Systems?

It takes the average reader 2 hours and 23 minutes to read The Convergence Problem for Dissipative Autonomous Systems by Alain Haraux

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

Description

The book investigates classical and more recent methods of study for the asymptotic behavior of dissipative continuous dynamical systems with applications to ordinary and partial differential equations, the main question being convergence (or not) of the solutions to an equilibrium. After reviewing the basic concepts of topological dynamics and the definition of gradient-like systems on a metric space, the authors present a comprehensive exposition of stability theory relying on the so-called linearization method. For the convergence problem itself, when the set of equilibria is infinite, the only general results that do not require very special features of the non-linearities are presently consequences of a gradient inequality discovered by S. Lojasiewicz. The application of this inequality jointly with the so-called Liapunov-Schmidt reduction requires a rigorous exposition of Semi-Fredholm operator theory and the theory of real analytic maps on infinite dimensional Banach spaces, which cannot be found anywhere in a readily applicable form. The applications covered in this short text are the simplest, but more complicated cases are mentioned in the final chapter, together with references to the corresponding specialized papers.

How long is The Convergence Problem for Dissipative Autonomous Systems?

The Convergence Problem for Dissipative Autonomous Systems by Alain Haraux is 142 pages long, and a total of 35,784 words.

This makes it 48% the length of the average book. It also has 44% more words than the average book.

How Long Does it Take to Read The Convergence Problem for Dissipative Autonomous Systems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 3 hours and 15 minutes to read The Convergence Problem for Dissipative Autonomous Systems aloud.

What Reading Level is The Convergence Problem for Dissipative Autonomous Systems?

The Convergence Problem for Dissipative Autonomous Systems is suitable for students ages 10 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 The Convergence Problem for Dissipative Autonomous Systems?

The Convergence Problem for Dissipative Autonomous Systems by Alain Haraux 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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