Laplace transform of distribution-valued functions and its applications | Zendy

Bogoljub Stanković | Zendy

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Laplace transform of distribution-valued functions and its applications

Author(s) -

Bogoljub Stanković

Publication year - 2004

Publication title -

bulletin classe des sciences mathematiques et natturalles

Language(s) - English

Resource type - Journals

eISSN - 2406-0909

pISSN - 0561-7332

DOI - 10.2298/bmat0429061s

Subject(s) - laplace transform , laplace transform applied to differential equations , two sided laplace transform , mathematics , laplace–stieltjes transform , inverse laplace transform , distribution (mathematics) , boundary value problem , post's inversion formula , mathematical analysis , mellin transform , order (exchange) , laplace distribution , green's function for the three variable laplace equation , fourier transform , fractional fourier transform , fourier analysis , finance , economics

For the distribution-valued functions the Laplace transform, is defined and some properties of it are proved. In order to illustrate the elaborated results, the conditions are proved to have the unicity and existence of solutions to a mathematical model of the vibrating rod with boundary conditions. .

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