Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and ...

Abstract: The history of the fractional calculus goes back to approximately 300 years. In the recent years, it is common to come across fractional calculus in many publications of control systems. The ...

Advances in Applied Probability, Vol. 19, No. 3 (Sep., 1987), pp. 632-651 (20 pages) We consider a class of functions on [0,∞), denoted by Ω , having Laplace transforms with only negative zeros and ...

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A. W. Phillips analyzed the stabilization policy for a multiplier-accelerator model [1] . Phillips’s stabilization problem is to design an endogenous policy rule capable of recovering the original ...

The definite integral $M(a)\coloneq \frac{4}{\pi}\int_{0}^{\pi /2}\frac{x^{2}dx}{x^{2}+\text{ln}^{2}(2e^{-a}\text{cos}x)}$ is related to the Laplace transform of the ...