... referees for pointing out some printing errors. This study wassupported by research funds from Dong-A University.References1 S. A. Belbas, “Dynamic programming and maximum principle for discrete ... generalize and unify theresult in 3, page 149, Theorem 3.5 in 7, Theorem 3.5 in 12, Corollaries 2.2 and 2.3 in 14, Corollaries 3.3 and 3.4 in 17, and Theorems 2.3 and 2.4 in 18, respectively.2 ... Equations Originatingfrom Dynamic ProgrammingGuojing Jiang,1Shin Min Kang,2 and Young Chel Kwun31Organization Department, Dalian Vocational Technical College, Dalian, Liaoning 116035, China2Department...