Geodesic
Nonlocal Boundary Value Problems for Two-Dimensional Potential Equation on a Rectangle
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 105-113.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

An extension of Duhamel principle, known for evolution equations, is proposed. An operational calculus approach for explicit solution of these problems is developed. A classical example of such BVP is the Bitsadze – Samarskii problem.
Keywords: Nonlocal BVP, Right-Inverse Operator, Extended Duamel Principle, Generalized Solution, Convolution, Multiplier, Multipliers Fraction 
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     author = {Dimovski, Ivan and Tsankov, Yulian},
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Dimovski, Ivan; Tsankov, Yulian. Nonlocal Boundary Value Problems for Two-Dimensional Potential Equation on a Rectangle. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 105-113. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a6/