Abstract
We study the problem of nondegeneracy of some boundary-value problems for a class of fourth-order differential equations on a geometric graph (topological net), present conditions for the existence of the Green function for boundary-value problems under consideration, and analyze its principal properties.
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Mustafokulov, R. Some boundary-value problems for a class of fourth-order differential equations on a graph. Ukr Math J 48, 530–536 (1996). https://doi.org/10.1007/BF02390613
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DOI: https://doi.org/10.1007/BF02390613