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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 Dive into the research topics where Bryan Patrick Rynne is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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

Research Output 1990 2019

Open Access
Global Asymptotic Stability
Asymptotic stability
Boundary value problems
Open Access
Unit ball
Asymptotic Stability
Principal Eigenvalue