Continuous dependence of boundary values for semiinfinite interval ordinary differential equations

David H. Eberly

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-6

Abstract:

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 ∈ ℝ n , say u ( t , ρ ) . For certain types of nonlinearities, we show that the boundary value u ˙ ( ∞ , ρ ) is continuous on compact sets of the variable ρ . As a consequence, bifurcation results for the elliptic equation are obtained.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:349130

DOI: 10.1155/S0161171286000650

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