The dependence of the eigenvalues of the Sturm-liouville problem on boundary conditions
T. N. Harutyunyan (2008)
Matematički Vesnik
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T. N. Harutyunyan (2008)
Matematički Vesnik
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Shulaia, D. (2002)
Georgian Mathematical Journal
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Tsankov, Yulian (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 44A35, 35L20, 35J05, 35J25 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. ...
Benenti, Sergio (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Fisher, Brian, Kiliçman, Adem (1995)
Commentationes Mathematicae Universitatis Carolinae
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Brian Fisher, Adem Kiliçman (1995)
Commentationes Mathematicae Universitatis Carolinae
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The commutative neutrix convolution product of the locally summable functions and is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.
Benedikt, Jiri, Girg, Petr (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Duma, Andrei, Stoka, Marius (2002)
Beiträge zur Algebra und Geometrie
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Bo Li, Yanping Zhuang, Yanhong Men, Xiquan Liang (2009)
Formalized Mathematics
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In this article, we give several differentiation and integrability formulas of special and composite functions including the trigonometric function, the hyperbolic function and the polynomial function [3].MML identifier: INTEGR11, version: 7.11.01 4.117.1046