Scholarly and Creative Works
2020
- Obara, S., & Welsh, S. C. (2020). Is e^π > π^e? Pre-service teachers making sense of numbers. Issues in the Undergraduate Mathematics Preparation of School Teachers, 1, 1–10.
2009
- Welsh, S. C. (2009). Global bifurcation of a class of period boundary-value problems. Nonlinear Analysis: T.M.A., 71(11), 5248–5255.
2005
- Welsh, S. C. (2005). A generalized-degree homotopy yielding global bifurcation results. Nonlinear Analysis: T.M.A., 62, 89–100.
1998
- Welsh, S. C. (1998). A remark on real parameter global bifurcation. Acta Mathematica Hungarica, 78(3), 199–211.
- Welsh, S. C. (1998). One – parameter global bifurcation in a multiparameter problem. Colloquium Mathematicum, 77(1), 85–96.
1997
- Bandy, C., Torrejon, R., & Welsh, S. C. (1997). Dust Particles and Rain. The Amytyc Review, 19(1), 21–26.
- Welsh, S. C. (1997). The time from sunrise to sunset. Texas Journal of Science, 49(4), 303–314.
1996
- Welsh, S. C. (1996). Open mappings and solvability of nonlinear equations in Banach space. Proceedings of the Royal Society of Edinburgh, 126A, 239–246.
- Welsh, S. C. (1996). The length of twilight at the Winter solstice. European Journal of Physics, 17, 183–189.
1995
- Welsh, S. C. (1995). A vector parameter global bifurcation result. Nonlinear Analysis: T.M.A., 25(12), 1425–1435.
1992
- Welsh, S. C. (1992). A priori bounds and nodal properties for periodic solutions to a class of ordinary differential equations. Journal of Mathematical Analysis and Applications, 171(2), 395–406.
- Welsh, S. C. (1992, November 1). [Review of Trigonometry for College Students, by K. J. Smith]. The American Mathematical Association of Two-Year Colleges Review.
1991
- Welsh, S. C. (1991). Sufficient conditions for periodic solutions to a class of second-order differential equations. Nonlinear Analysis: T.M.A., 17(1), 85–93.
1989
- Webb, J. R. L., & Welsh, S. C. (1989). Existence and uniqueness of initial value problems for a class of second-order differential equations. Journal of Differential Equations, 81.
1988
- Welsh, S. C. (1988). Global results concerning bifurcation for Fredholm maps of index zero with a transversality condition. Nonlinear Analysis: T.M.A., 12(11), 1137–1148.
1987
- Welsh, S. C. (1987). Bifurcation of A-proper mappings without transversality considera- tions. Proceedings of the Royal Society of Edinburgh, 107A, 65–74.
1986
- Webb, J. R. L., & Welsh, S. C. (1986). Topological degree and global bifurcation. Proceedings of Symposia in Pure Mathematics, 45(2), 527–531.
1985
- Welsh, S. C. (1985). Generalized Topological Degree and Bifurcation Theory.
- Webb, J. R. L., & Welsh, S. C. (1985). A proper maps and bifucation theory. Ordinary and Partial Differential Equations, 1151, 342–349.