Features new results and up-to-date advances in modeling and solving
differential equations
Introducing the various classes of functional differential equations,
Functional Differential Equations: Advances and Applications presents
the needed tools and topics to study the various classes of functional
differential equations and is primarily concerned with the existence,
uniqueness, and estimates of solutions to specific problems. The book
focuses on the general theory of functional differential equations,
provides the requisite mathematical background, and details the
qualitative behavior of solutions to functional differential equations.
The book addresses problems of stability, particularly for ordinary
differential equations in which the theory can provide models for other
classes of functional differential equations, and the stability of
solutions is useful for the application of results within various fields
of science, engineering, and economics. Functional Differential
Equations: Advances and Applications also features:
- Discussions on the classes of equations that cannot be solved to the
highest order derivative, and in turn, addresses existence results and
behavior types
- Oscillatory motion and solutions that occur in many real-world
phenomena as well as in man-made machines
- Numerous examples and applications with a specific focus on ordinary
differential equations and functional differential equations with finite
delay
- An appendix that introduces generalized Fourier series and Fourier
analysis after periodicity and almost periodicity
- An extensive Bibliography with over 550 references that connects the
presented concepts to further topical exploration
Functional Differential Equations: Advances and Applications is an ideal
reference for academics and practitioners in applied mathematics,
engineering, economics, and physics. The book is also an appropriate
textbook for graduate- and PhD-level courses in applied mathematics,
differential and difference equations, differential analysis, and
dynamics processes.
CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of
Mathematics at The University of Texas at Arlington, USA. The author of
six books and over 200 journal articles, he is currently Associate
Editor for seven journals; a member of the American Mathematical
Society, Society for Industrial and Applied Mathematics, and the
Romanian Academy; and past president of the American Romanian Academy of
Arts and Sciences.
YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant
County College, USA. He is a member of the Society for Industrial and
Applied Mathematics.
MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at
Bowie State University, USA. The author of numerous journal articles, he
is a member of the American Mathematical Society, Society for Industrial
and Applied Mathematics, and the Mathematical Association of America.