Generalized functions in mechanical models. Differential and fractional differential equations

Generalized functions in mechanical models. Differential and fractional differential equations

Ljubica Oparnica

     

бумажная книга



Издательство: Книга по требованию
Дата выхода: июль 2011
ISBN: 978-3-6392-0612-8
Объём: 144 страниц
Масса: 239 г
Размеры(В x Ш x Т), см: 23 x 16 x 1

Problems that are considered in this book model various mechanical phenomena, especially from rod theory and viscoelasticity. Differential equations that arise have coefficients which are not smooth, can be even distributions (Dirac delta and Heaviside functions), and some equations are coupled with fractional differential equations. This is why one has to go beyond classical spaces and look for solutions within generalized function spaces such as spaces of distributions, Sobolev spaces and Colombeau's generalized functions. Different kinds of techniques are presented and afterwards are employed to show existence and uniqueness of solutions.

Данное издание не является оригинальным. Книга печатается по технологии принт-он-деманд после получения заказа.

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