Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints

Tsankov, Yulian. "Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints." Fractional Calculus and Applied Analysis 13.4 (2010): 435-446. <http://eudml.org/doc/219639>.

@article{Tsankov2010,
abstract = {MSC 2010: 44A35, 35L20, 35J05, 35J25In 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.},
author = {Tsankov, Yulian},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Nonlocal BVP; Extended Duhamel Principle; Associated Eigenfunctions; Weak Solution; Convolution; extended Duhamel principle; associated eigenfunctions; non-classical one-dimensional convolutions; nonharmonic Fourier sine-expansion},
language = {eng},
number = {4},
pages = {435-446},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints},
url = {http://eudml.org/doc/219639},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Tsankov, Yulian
TI - Explicit Solutions of Nonlocal Boundary Value Problems, Containing Bitsadze-Samarskii Constraints
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 4
SP - 435
EP - 446
AB - MSC 2010: 44A35, 35L20, 35J05, 35J25In 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.
LA - eng
KW - Nonlocal BVP; Extended Duhamel Principle; Associated Eigenfunctions; Weak Solution; Convolution; extended Duhamel principle; associated eigenfunctions; non-classical one-dimensional convolutions; nonharmonic Fourier sine-expansion
UR - http://eudml.org/doc/219639
ER -