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The Fokas' Unified Transformation Method For Airy Equation On Simple Open Star Graph, Zarifboy Sobirov, Mardonbek Eshimbetov
The Fokas' Unified Transformation Method For Airy Equation On Simple Open Star Graph, Zarifboy Sobirov, Mardonbek Eshimbetov
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences
We considered the Airy equation on the simple star graph with three semi-infinite bonds. At the branching point of the graph we used second kind vertex conditions. Exact integral representation of the solution is obtained via Fokas unified transformation method.