@article{oai:muroran-it.repo.nii.ac.jp:00007206, author = {KINOKUNIYA, Yoshio and 紀國谷, 芳雄}, issue = {1}, journal = {室蘭工業大學研究報告, Memoirs of the Muroran College of Technology}, month = {Jun}, note = {application/pdf, This paper deals with regular solutions of the operational equations: (A)…P(u)=f(x,y,z), (B)…P(u)=φ(x,y,z,u)where P is supposed as a certain partial differential compound operator of rational integral form. For (A),some important formal solutions are given with some examples and especially for the equation P(u)=D^n_t(u)(P and D are independent)the Initial-value- Problem is studied on an important theorem. For (B) P is shown its composition by means of function-theoretical calculus and is characterized by the parameters λ,μ,ν and a function ψ(ξ,η,ζ; x,y,z), which corresponds to a solution in the sense of one-to-one as far as the solutions are regular.}, pages = {13--24}, title = {On Operational Equations}, volume = {1}, year = {1950}, yomi = {キノクニヤ, ヨシオ} }