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(h0, h)-boundedness of the solutions of differential systems with impulses.

G. K. Kulev, D. D. Bainov (1990)

Publicacions Matemàtiques

In the present paper the question of boundedness of the solutions of systems of differential equations with impulses in terms of two measures is considered. In the investigations piecewise continuous auxiliary functions are used which are an analogue of the classical Lyapunov's functions. The ideas of Lyapunov's second method are combined with the newest ideas of the theory of stability and boundedness of the solutions of systems of differential equations.

[unknown]

И.Н. Якушина (1990)

Zapiski naucnych seminarov Leningradskogo

α-Mellin Transform and One of Its Applications

Nikolova, Yanka (2012)

Mathematica Balkanica New Series

MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we have introduced the definition of the α-Mellin transform and some of its basic properties. Some examples of special cases are provided. Its operational properties as Theorem 1, Theorem 2 (Convolution theorem) and Theorem 3 (α-Mellin transform...

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