Dynamic programming and maximum principle for discrete Goursat systems

DOI10.1016/0022-247X(91)90362-4zbMath0749.49019MaRDI QIDQ1190320

S. A. Belbas

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary-value problemGoursat problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20)

Related Items (11)

The optimal control problem in the processes described by the Goursat problem for a hyperbolic equation in variable exponent Sobolev spaces with dominating mixed derivatives ⋮ On solvability of functional equations and system of functional equations arising in dynamic programming ⋮ Optimal control of Goursat-Darboux systems with discontinuous co-state ⋮ On properties of solutions for two functional equations arising in dynamic programming ⋮ Optimal control of Volterra integral equations in two independent variables ⋮ Solvability and algorithms for functional equations originating from dynamic programming ⋮ Solutions to two functional equations arising in dynamic programming ⋮ Properties of solutions for certain functional equations arising in dynamic programming ⋮ Solvability and convergence of iterative algorithms for certain functional equations arising in dynamic programming ⋮ A fixed point theorem for operators of Meir-Keeler type via the degree of nondensifiability and its application in dynamic programming ⋮ Existence and uniqueness of solutions for two classes of functional equations arising in dynamic programming

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimization of systems governed by hyperbolic partial differential equations with equality and inequality constraints
• Applications of fixed-point methods to discrete variational and quasi- variational inequalities
• Optimal processes in certain discrete systems with distributed parameters
• Extending L.S. Pontryagin's maximum principle to discrete systems
• Optimization with partial differential equations in Dieudonne-Rashevsky form and conjugate problems
• Dynamic programming approach to the optimal control of systems governed by Goursat-Darboux equations
• The optimization of objects with distributed parameters, described by Goursat-Darboux systems
• On optimal control of processes in distributed objects
• Contraction Mappings in the Theory Underlying Dynamic Programming

This page was built for publication: Dynamic programming and maximum principle for discrete Goursat systems