Bifurcation theory provides a mathematical framework for understanding qualitative changes in the dynamics of systems as parameters vary. In the context of age-structured population models, this ...
We consider the bifurcation problem for the nonlinear operator equation x = λ Lx + T(λ, x, y) in a real Banach space X. Here λ0 is an eigenvalue of the bounded ...
A standard "bootstrap" method is used to show that the bifurcation problem for the semilinear eigenvalue problem $\Delta u + \lambda f(x, u) = 0$ in $\Omega, u\mid ...