... Dalian, Liaoning 116029, China2Department of Applied Mathematics, Changwon National University,Changwon 641-773, Republic of Korea3Department of Mathematics and Research Institute of Natural Science, ... Properties of Solutions for Two FunctionalEquations Arising in Dynamic ProgrammingZeqing Liu,1Jeong Sheok Ume,2and Shin Min Kang31Department of Mathematics, Liaoning Normal University, Dalian, ... programming and maximum principle for discrete Goursat systems,” Journal of Mathematical Analysis and Applications, vol. 161, no. 1, pp. 57–77, 1991.4 R. Bellman and E. S. Lee, “Functional equations...