Bifurcation theory for a class of second order differential equationsHouston Journal of Mathematics (2013)
In this paper, we consider multiple positive solutions of the nonlinear two point boundary value problem u″+λf(u)=0, and u(−1)=u(1)=0 as the parameter λ varies through positive values. Every solution u(x) is uniquely identified by α=u(0). We study how the number of solutions changes when the parameter varies and in addition we will narrow regions of bifurcation points.
- Multiple solutions,
- bifurcation Points,
- asymptote behavior.
Citation InformationAlvaro Correa and Yi Li. "Bifurcation theory for a class of second order differential equations" Houston Journal of Mathematics (2013)
Available at: http://works.bepress.com/yi_li/108/