Note on some s-shaped bifurcation curves

Abstract

In this article we consider asymptotic behavior of some bifurcation curves of the two-point boundary value problem -u′ (x) =λf(u(x)) for 0 < x < 1; u(0) = u(1) = 0. Infact we prove that λ grows linearly with respective to p(p = u(1/2)) for p large

AMS(MOS):

• 34