Three Point Boundary Value Problems with Solutions that Change Sign

Gennaro Infante, Jeffrey R. L. Webb · Journal of Integral Equations and Applications · 2003

Using the theory of fixed point index, we give new results for some three-point boundary value problems.In particular we study problems where the associated integral equation has a kernel that changes sign, so that positive solutions cannot exist.We obtain the existence of at least one or of multiple nonzero solutions.

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