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Series Solutions of Companding Problems
Bell System Technical Journal, 1983A formal power series solution (i) x(t) = Σ 1 ∞ mk x k (t) is given for the companding problem (ii) Bf{x(t)} = my(t), B{x(t)} = x(t), where B is the bandlimiting operator defined by Bg = (Bg)(t) = ∫ g(s)[sin λ(t − s)]/[π(t − s)]ds and f(t) has a Taylor series with f(0) = 0, f′(0) ≠ 0. Expressions for the x k are given in terms of the coefficients of f,
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Journal of Applied Mathematics and Computing, 2013
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2016
In this chapter we describe the series solution method for generalized Volterra integral equations and generalized Volterra integro-differential equations.
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In this chapter we describe the series solution method for generalized Volterra integral equations and generalized Volterra integro-differential equations.
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Series Solutions for Structural Mobility
The Journal of the Acoustical Society of America, 1965In investigating the behavior of subcomponents of a structural system, attention is often given to the matching of mobility or impedance at mounting or junction points. Thus, if the mobility at a point in a certain frequency range is of interest, the structure supporting that point might be a black box containing a structural model designed to ...
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Series Solutions for Differential Equations
2019In more sophisticated courses in mathematical physics or “special functions,” a different type of linear differential equation frequently arises from those we have studied to date.
Allan Struthers, Merle Potter
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Branching solutions and Lie series
Celestial Mechanics & Dynamical Astronomy, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Power Series Solutions of ODEs
1994Automatic differentiation with the use of computer allows one to evaluate the Taylor series of expansion of a function acurately and easily. After showing automatic differentiation of a class of functions, the power series of solutions of ordinary differential equation (ODE) and the system of ODE are explained.
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2016
In this chapter, the Separation of Variables method is used to find a solution to the finite cable equation. The cable is subjected to an impulse of current at some location on the cable itself and the corresponding solution must be written as an infinite series in terms of what are called Fourier sin and cosine series.
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In this chapter, the Separation of Variables method is used to find a solution to the finite cable equation. The cable is subjected to an impulse of current at some location on the cable itself and the corresponding solution must be written as an infinite series in terms of what are called Fourier sin and cosine series.
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