A direct extension of Meller's calculus.
A Laplace-like method for solving linear difference equations.
A new theory of Operational Calculus [Book]
A note on applications of the algebraic derivative to solving of some differential equations
A note on orthogonality preserving operators
A remark on Yosida's complement to Mikusiński's operational calculus
A sheaf of Boehmians
We show that Boehmians defined over open sets of ℝⁿ constitute a sheaf. In particular, it is shown that such Boehmians satisfy the gluing property of sheaves over topological spaces.
A simple complement to Miklusiński's operational calculus
A two-sided operational calculus
Abelian theorems for transformable Boehmians.
An Abstract Second Kind Fredholm Integral Equation with Degenerated Kernel
Mathematics Subject Classification: 44A40, 45B05The paper presents an abstract linear second kind Fredholm integral equation with degenerated kernel defined by means of the Bittner operational calculus. Fredholm alternative for mutually conjugated integral equations is also shown here. Some examples of solutions of the considered integral equation in various operational calculus models are also given.
An algebraic derivative associated to the operator
In this paper we get an algebraic derivative relative to the convolution associated to the operator , which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation
An algebraic framework for linear identification
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.
An algebraic framework for linear identification
A closed loop parametrical identification procedure for continuous-time constant linear systems is introduced. This approach which exhibits good robustness properties with respect to a large variety of additive perturbations is based on the following mathematical tools: (1) module theory; (2) differential algebra; (3) operational calculus. Several concrete case-studies with computer simulations demonstrate the efficiency of our on-line identification scheme.
An application of operator transformations in the convergence of the series of Mikusinski operators
Approximate Solutions Of The Operator Linear Differential Equation II
Approximate solutions of the operator linear differential equation I.
Asymptotics of regular convolution quotients.
Boehmians of type S and their Fourier transforms
Function spaces of type S are introduced and investigated in the literature. They are also applied to study the Cauchy problem. In this paper we shall extend the concept of these spaces to the context of Boehmian spaces and study the Fourier transform theory on these spaces. These spaces enable us to combine the theory of Fourier transform on these function spaces as well as their dual spaces.
Boehmians on manifolds.