Discovery Projects - Grant ID: DP0450752

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0450752

Funding Status
Closed

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Funded Activity Summary

Dynamic Equations on Measure Chains. Boundary value problems (BVPs) on ``measure chains''are new and useful mathematical equations that describe the world around. This project aims to answer some imporotant and fundamental mathematical questions such as (i) Under what conditions do BVPs on measure chains actually have solutions? (ii) If solutions do exist, then what are their properties? The approach is to use modern tools from mathematical analysis, including topological transversality and Leray-Schauder degree. The project outcomes will (a) significantly advance current mathematical theory for BVPs on measure chains (b) unify the theory of BVPs for differential and difference equations (c) potentially apply to many real-world phenomena.

Funded Activity Details

Start Date: 01-01-2004

End Date: 31-12-2008

Funding Scheme: Discovery Projects

Funding Amount: $131,100.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Differential, Difference And Integral Equations |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Differential, Difference And Integral Equations | Mathematical sciences | Pure Mathematics

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