Displaying similar documents to “Generalizations of non-commutative neutrix convolution products of functions.”

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.

Difference and Difference Quotient. Part II

Bo Li, Yanping Zhuang, Xiquan Liang (2008)

Formalized Mathematics

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In this article, we give some important properties of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions [11].MML identifier: DIFF 2, version: 7.8.09 4.97.1001

Chaos in some planar nonautonomous polynomial differential equation

Klaudiusz Wójcik (2000)

Annales Polonici Mathematici

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We show that under some assumptions on the function f the system ż = z ̅ ( f ( z ) e i ϕ t + e i 2 ϕ t ) generates chaotic dynamics for sufficiently small parameter ϕ. We use the topological method based on the Lefschetz fixed point theorem and the Ważewski retract theorem.

Several Higher Differentiation Formulas of Special Functions

Junjie Zhao, Xiquan Liang, Li Yan (2008)

Formalized Mathematics

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In this paper, we proved some basic properties of higher differentiation, and higher differentiation formulas of special functions [4].MML identifier: HFDIFF 1, version: 7.8.10 4.100.1011

Difference and Difference Quotient. Part III

Xiquan Liang, Ling Tang (2010)

Formalized Mathematics

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In this article, we give some important theorems of forward difference, backward difference, central difference and difference quotient and forward difference, backward difference, central difference and difference quotient formulas of some special functions.

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. ...