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

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 4, page 435-446
- ISSN: 1311-0454

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topTsankov, 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 -

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