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
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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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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/