Abstract
In this paper, using a fixed point theorem on a convex cone, we consider the existence of positive solutions to the multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects, and obtain multiplicity results for positive solutions.
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This work was supported by the Natural Science Foundation of Hunan Province (10JJ3096), was also supported by the Aid Program for Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province and the Construct Program of the Key Discipline in Hunan Province.
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Tian, Y., Chen, A. & Ge, W. Multiple positive solutions to multipoint one-dimensional p-Laplacian boundary value problem with impulsive effects. Czech Math J 61, 127–144 (2011). https://doi.org/10.1007/s10587-011-0002-5
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DOI: https://doi.org/10.1007/s10587-011-0002-5
Keywords
- p-Laplacian operator
- boundary value problem
- impulsive differential equations
- fixed-point theorem
- positive solutions