Geodesic
Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
Fractional calculus and applied analysis, Tome 13 (2010) no. 4, pp. 435-446

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In this paper are found explicit solutions of four nonlocal boundary value problems for Laplace, heat and wave equations, with Bitsadze-Samarskii constraints based on non-classical one-dimensional convolutions. In fact, each explicit solution may be considered as a way for effective summation of a solution in the form of nonharmonic Fourier sine-expansion. Each explicit solution, may be used for numerical calculation of the solutions too.
Keywords: Nonlocal BVP, Extended Duhamel Principle, Associated Eigenfunctions, Weak Solution, Convolution 
@article{FCAA_2010_13_4_a8,
     author = {Tsankov, Yulian},
     title = {Explicit {Solutions} of {Nonlocal} {Boundary} {Value} {Problems,} {Containing} {Bitsadze-Samarskii} {Constraints}},
     journal = {Fractional calculus and applied analysis},
     pages = {435--446},
     publisher = {mathdoc},
     volume = {13},
     number = {4},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/FCAA_2010_13_4_a8/}
}
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Tsankov, Yulian. Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints. Fractional calculus and applied analysis, Tome 13 (2010) no. 4, pp. 435-446. http://geodesic.mathdoc.fr/item/FCAA_2010_13_4_a8/