If you made any changes in Pure these will be visible here soon.

Personal profile

Research interests

My current research interests are in nonlinear differential equations. Particular areas include: global bifurcation theory boundary value problems with jumping nonlinearities multi-point boundary value problems.


I received my in Ph.D. from Dundee University in 1982, in which I worked on linear and nonlinear multiparameter spectral theory. Between 1983 and 1990 I was a Research Fellow in Dundee, York and Southampton Universities, working variously on electromagnetic scattering, metric number theory and nonlinear dynamical systems. In 1990 I joined Heriot-Watt University as a lecturer in the Mathematics Department. I became a reader in 1996, and then a professor in 2009.

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

Boundary Value Problem Mathematics
P-Laplacian Mathematics
Eigenvalue Mathematics
Sturm-Liouville Problem Mathematics
Jumping Nonlinearities Mathematics
Global Bifurcation Mathematics
Nontrivial Solution Mathematics
Positive Solution Mathematics

Research Output 1990 2019

Global Asymptotic Stability
Positive Solution
Globally Asymptotically Stable
Boundary Value Problem

Simple bifurcation and global curves of solutions of p-Laplacian problems with radial symmetry

Rynne, B. P., 15 Sep 2017, In : Journal of Differential Equations. 263, 6, p. 3611–3626 16 p.

Research output: Contribution to journalArticle

Open Access