This text builds on Butkovsky and Lions texts which were written in the late 1960s, and addresses more recent developments in optimal control of distributed parameter systems with controls appearing in the system coefficients, linear and nonlinear hyperbolic systems, general linear evolution equations amenable to semigroup approach, and nonlinear evolution equations on Banach space.

Optimal control of distributed parameter systems

Science & Math

Ahmed, N. U.

Teo, K. L.

Mathematics

Elsevier Science Ltd.

<p>Although students of analysis are familiar with real and complex numbers, few treatments of analysis deal with the development of such numbers in any depth. An understanding of number systems at a fundamental level is necessary for a deeper grasp of analysis. Beginning with elementary concepts from logic and set theory, this book develops in turn the natural numbers, the integers and the rational, real and complex numbers. The development is motivated by the need to solve polynomial equations, and the book concludes by proving that such equations have solutions in the complex number system.</p>

NUMBER SYSTEMS OF ANALYSIS, THE

Little, C. H. C.

Brunt, B. Van

World Scientific Publishing Company

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