Continuous dependence of boundary values for semiinfinite interval ordinary differential equations
David H. Eberly · International Journal of Mathematics and Mathematical Sciences · 1986
Certain elliptic equations arising in catalysis theory can be transformed into ordinary differential equations on the interval (0, ∞). The solutions to these problems usually depend on parameters ρ ∈ ℝn, say u(t, ρ). For certain types of nonlinearities, we show that the boundary value is continuous on compact sets of the variable ρ. As a consequence, bifurcation results for the elliptic equation are obtained.