Generalized functions in mechanical models

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.

Autorentext

was born in Novi Sad, Serbia where she finished primary and high school, basic and master studies in mathematics. She obtained PhD degree at the Faculty of Mathematics, University of Vienna. Currently, she lives in Novi Sad and works as a research assistant at Mathematical Institute of Academy of Science and Art in Belgrade.