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Mikusinski’s operators solution of three-order linear difference equation with variable coefficients
Applied Mathematics and Mechanics, 1994Making use of the concept of variable number operators as well as shifting operator series with variable coefficients in the operational field of Mikusinski, the paper concerns the solution of three-order linear difference equations with variable coefficients.
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Another approach to mikusinski's validation of heaviside operational calculus
IEEE Transactions on Education, 1966The interval function which assigns f(b)-f(a) to the interval [a,b] is called the subtracate of f, and is denoted by f The substracate A of the indicial admittance A of a linear time-invariant system provides a natural time-domain transfer function for the system which preserves information about discontinuities in A.
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On the Convergence of Mikusinski Operators
Journal of the London Mathematical Society, 1974Jeyamma, S., Ramakrishnan, P. V.
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A Mikusinski calculus for the bessel operator Bμ
1976An operational calculus for the Bessel operator Bμ=t-μDtμ+1D ...
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Laplace--Stieltjes transform of Mikusinski operator functions
Publicationes Mathematicae Debrecen, 2022openaire +1 more source
The Mikusinski Operators as a Topological Space
American Journal of Mathematics, 1976openaire +1 more source
The Algebraic Derivative of Mikusinski
The American Mathematical Monthly, 1967openaire +1 more source
On continuous endomorphisms of Mikusinski's operator field
Acta Mathematica Academiae Scientiarum Hungaricae, 1970openaire +1 more source