Quasilinearization and nonlinear boundary-value problems

by Richard Ernest Bellman, Robert E. Kalaba


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An introduction to quasilinearization for both those solely interested in the analysis and those primarily concerned with applications. The Report contains chapters on: (1) the Riccati Equation; (2) two-point boundary-value problems for second-order differential equations; (3) monotone behavior and differential inequalities; (4) systems of differential equations, storage, and differential approximation; (5) partial differential equations; (6) applications in physics, engineering, and biology; and (7) dynamic programming and quasilinearization. The authors believe that, in addition to other uses, the theory of quasilinearization will aid in obtaining a uniform approach to the study of the existence and uniqueness of the solutions of ordinary and partial differential equations subject to initial and boundary-value conditions. 215 pp.

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