Generalized Quasilinearization for Nonlinear Problems

The book provides a systematic development of generalized quasilinearization indicating the notions and technical difficulties that are encountered in the unified approach. It enhances considerably the usefulness of the method of quasilinearization which has proved to be very effective in several areas of investigation and in applications. Further it includes the well-known monotone iterative technique as a special case.
Audience: Researchers, industrial and engineering scientists.

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Explains a method for approximating nonlinear problems that grew out of the theory of dynamic programming and combines linear approximation techniques with the capabilities of digital computers in various adroit fashions. Develops generalized quasilinearization to first- order initial-value problems, systems with initial conditions, periodic and anti-periodic boundary value problems, higher order of convergence, and other contexts. Then moves on to second-order boundary value problems and extensions to a variety of differential equations such as delay, stochastic, integro-differential, differential equations in a Banach space, and dynamic systems on a time scale. Includes the well known monotime iterative technique as a special case. Of interest to engineers and researchers in any of the many fields that deal with nonlinear problems. Annotation c. by Book News, Inc., Portland, Or.