바로가기메뉴

본문 바로가기 주메뉴 바로가기

ACOMS+ 및 학술지 리포지터리 설명회

  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
사전등록 바로가기
 

logo

ISSN : 1226-0657

논문 상세

이전 다음
논문 투고

Vol.4 No.1
Citation Share

THE PARTIAL DIFFERENTIAL EQUATION ON FUNCTION SPACE WITH RESPECT TO AN INTEGRAL EQUATION

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1997, v.4 no.1, pp.47-60
Chang, Seung-Jun (Department of Mathematics, Dankook University)
Lee, Sang-Deok (Department of Mathematics, Dankook University)
Chang, Seung-Jun, & Lee, Sang-Deok. (1997). THE PARTIAL DIFFERENTIAL EQUATION ON FUNCTION SPACE WITH RESPECT TO AN INTEGRAL EQUATION. 한국수학교육학회지시리즈B:순수및응용수학, 4(1), 47-60.
  • 다운로드 수
  • 조회수
PDF 다운로드

Abstract

In the theory of the conditional Wiener integral, the integrand is a functional of the standard Wiener process. In this paper we consider a conditional function space integral for functionals of more general stochastic process and the generalized Kac-Feynman integral equation. We first show that the existence of a partial differential equation. We then show that the generalized Kac-Feynman integral equation is equivalent to the partial differential equation.

keywords
Generalized Brownian motion process, Function space integral, Coditional function space integral, Kac-Feynman integral equation

한국수학교육학회지시리즈B:순수및응용수학

논문 투고 OA 정책