@article{oai:sucra.repo.nii.ac.jp:00017722, author = {DÔKU, Isamu}, issue = {2}, journal = {埼玉大学紀要. 教育学部, Journal of Saitama University. Faculty of Education}, month = {}, note = {In this paper we consider a class of deterministic nonlinear integral equations. While, we begin with constructing a branching model, define a star-product and construct a tree-based starproduct functional. Finally we study the mathematical structure of the functional and prove that the expectation of the functional with respect to a time-reversed law of the branching process satisfies the original integral equations., text, application/pdf}, pages = {181--188}, title = {Star-Product Functional and Related Integral Equations<数学・自然科学>}, volume = {63}, year = {2014}, yomi = {ドウク, イサム} }