Büttner On Backward Stochastic Differential Equations (BSDEs) with jumps of infinite activity
1. Auflage 2016
ISBN: 978-3-668-23306-5
Verlag: GRIN Publishing
Format: PDF
Kopierschutz: 0 - No protection
E-Book, Englisch, 71 Seiten
ISBN: 978-3-668-23306-5
Verlag: GRIN Publishing
Format: PDF
Kopierschutz: 0 - No protection
Diploma Thesis from the year 2011 in the subject Mathematics - Stochastics, grade: 1,0, Humboldt-University of Berlin (Mathematik), language: English, abstract: This diploma thesis is concerned with backward stochastic differential equations (BSDEs) with jumps which are driven by a Brownian Motion and a random measure.
We derive existence and uniqueness results for bounded solutions to such BSDEs when the generator posses a certain monotonicity property instead of the usual global Lipschitz condition.
Starting with results in the case of finite activity, considering generators of difference type and showing a comparison theorem, allows us to advance to the case of infinite activity.