Asymptotic oscillations of global solution branches for nonlinear problems
2021
In this paper we first study the asymptotic oscillations of a connected component of the positive solution set of some non-positone operator equations using global bifurcation theories. Then by using these results, we study the asymptotic oscillations of a connected component of the positive solution set of some differential boundary value problems. This paper extends some previous results on asymptotic oscillations of a connected component of the positive solution set of differential boundary value problems to the operator equations in real Banach spaces and includes a more general boundary condition. The existence of infinitely many solutions can also be obtained by using our main results.
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