Displaying similar documents to “The dependence of the eigenvalues of the Sturm-liouville problem on boundary conditions”

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

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. ...

Some commutative neutrix convolution products of functions

Brian Fisher, Adem Kiliçman (1995)

Commentationes Mathematicae Universitatis Carolinae

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The commutative neutrix convolution product of the locally summable functions cos - ( λ x ) and cos + ( μ x ) is evaluated. Further similar commutative neutrix convolution products are evaluated and deduced.

Several Integrability Formulas of Special Functions. Part II

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

Several Differentiation Formulas of Special Functions. Part VII

Fuguo Ge, Bing Xie (2008)

Formalized Mathematics

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In this article, we prove a series of differentiation identities [2] involving the arctan and arccot functions and specific combinations of special functions including trigonometric and exponential functions.MML identifier: FDIFF 11, version: 7.10.01 4.111.1036