Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2013; 50(4): 1079-1086

Printed July 1, 2013

https://doi.org/10.4134/BKMS.2013.50.4.1079

Copyright © The Korean Mathematical Society.

BSDEs on finite and infinite time horizon with discontinuous coefficients

Pengju Duan and Yong Ren

Suzhou University, Anhui Normal University

Abstract

This paper is devoted to solving one dimensional backward stochastic differential equations (BSDEs). We prove the existence of the solutions to BSDEs if the generator satisfies the general growth and discontinuous conditions.

Keywords: backward stochastic differential equations, existence and uniqueness, comparison theorem, discontinuous conditions

MSC numbers: primary 60H10, 60H30, 60H99