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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.

Biography

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.

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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
P-Laplacian
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
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