Differential Approximation

  • Richard E. Bellman
  • Robert S. Roth
Part of the Mathematics and Its Applications book series (MAIA, volume 26)


In the last chapter we considered the technique of quasilinearization for fitting a known function f(x) to a differential equation by determining the initial conditions and system parameters associated with the chosen differential equation. This was done by numerical methods.


Functional Differential Equation Nonlinear Spring Linear Differential Operator Differential Approximation Pade Approximation 
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Bibliography and Comments

  1. Bellman, R.,:1970, Methods in Nonlinear Analysis, vol I & II, Academic Press, N.Y.Google Scholar
  2. Bellman, R., and K.L. Cooke,:1963, Differential-Difference Equations, Academic Press, N.Y.zbMATHGoogle Scholar
  3. Bellman, R., R. Kalaba and R. Sridhar:1965, “Adaptive Control via Quasilinearization and Differential Approximation”, Pakistan Engineer, 5,2, 94–100Google Scholar
  4. Bellman, R., B.G. Kashef and R. Vasudevan,:1972, “Application of Differential Approximation in the Solution of Integro-Differential Equations”, Utilita Mathematica, 2, 283–390MathSciNetzbMATHGoogle Scholar
  5. Bellman, R., B.G. Kashef and R. Vasudevan,:1972, “A Useful Approximation to 2-t e ”, Mathematics of Computation, 26,117, 233–235MathSciNetzbMATHGoogle Scholar

Copyright information

© D Reidel Publishing Company 1986

Authors and Affiliations

  • Richard E. Bellman
    • 1
    • 2
  • Robert S. Roth
    • 3
  1. 1.Department of Electrical EngineeringUniversity of Southern CaliforniaLos AngelesUSA
  2. 2.Center for Applied MathematicsThe University of GeorgiaAthensUSA
  3. 3.BostonUSA

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