Youssef Professor Graduate Program Director (2 results)

Kartoniert / Broschiert. Condition: New. &Uumlber den AutorYoussef Raffoul holds the rank of Professor and is the Graduate Program Director in the Department of Mathematics at the University of Dayton. He joined the faculty in 1999. Dr. Raffoul obtained a B.S. and M.S. from th.

Taschenbuch. Condition: Neu. Neuware - Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems. The book delivers difficult material in an accessible manner, utilizing easier, friendlier notations and multiple examples. Sections focus on standard topics such as existence and uniqueness for scalar and systems of differential equations, the dynamics of systems, including stability, with examples and an examination of the eigenvalues of an accompanying linear matrix, as well as coverage of existing literature. From the eigenvalues' approach, to coverage of the Lyapunov direct method, this book readily supports the study of stable and unstable manifolds and bifurcations. Additional sections cover the study of delay differential equations, extending from ordinary differential equations through the extension of Lyapunov functions to Lyapunov functionals. In this final section, the text explores fixed point theory, neutral differential equations, and neutral Volterra integro-differential equations.