Quasilinearization and nonlinear boundary-value problems

Richard Ernest Bellman, Robert E. Kalaba

ResearchPublished 1965

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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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1965
  • Print Format: Paperback
  • Paperback Pages: 215
  • Paperback Price: $45.00
  • Document Number: R-438-PR

Citation

RAND Style Manual
Bellman, Richard Ernest and Robert E. Kalaba, Quasilinearization and nonlinear boundary-value problems, RAND Corporation, R-438-PR, 1965. As of September 23, 2024: https://www.rand.org/pubs/reports/R438.html
Chicago Manual of Style
Bellman, Richard Ernest and Robert E. Kalaba, Quasilinearization and nonlinear boundary-value problems. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/reports/R438.html. Also available in print form.
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