500 Examples and Problems of Applied Differential Equations - Agarwal, Ravi P.;Hodis, Simona;O'Regan, Donal
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This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge-Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary…mehr

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Produktbeschreibung
This book highlights an unprecedented number of real-life applications of differential equations together with the underlying theory and techniques. The problems and examples presented here touch on key topics in the discipline, including first order (linear and nonlinear) differential equations, second (and higher) order differential equations, first order differential systems, the Runge-Kutta method, and nonlinear boundary value problems. Applications include growth of bacterial colonies, commodity prices, suspension bridges, spreading rumors, modeling the shape of a tsunami, planetary motion, quantum mechanics, circulation of blood in blood vessels, price-demand-supply relations, predator-prey relations, and many more.

Upper undergraduate and graduate students in Mathematics, Physics and Engineering will find this volume particularly useful, both for independent study and as supplementary reading. While many problems can be solved at the undergraduate level, a numberof challenging real-life applications have also been included as a way to motivate further research in this vast and fascinating field.

Autorenporträt
Sumati Kumari Panda, Ph.D., is a Professor of Mathematics at the GMR Institute of Technology, India. Her research areas include fractional calculus, fixed point theory, neural networks, and their applications. She has published more than 100 research papers in reputed international journals and presented her work at several national and international conferences. She is currently serving as an Academic Editor for Scientific Reports (Springer, Scopus & SCIE-indexed). Dr. Panda received her Ph.D. in Mathematics from K.L. University in 2015. Velusamy Vijayakumar, Ph.D., is an Assistant Professor at the Vellore Institute of Technology (VIT), Vellore, India. His research interests include fractional calculus, dynamical systems, mathematical control theory, and neural networks. Dr. Vijayakumar has authored over 220 research articles in reputed scientific journals. Dr. Vijayakumar received his B.Sc, M.Sc, M.Phil, and Ph.D. degrees in Mathematics from Bharathiar University, Coimbatore, Tamil Nadu, India, in 2002, 2004, 2006, and 2016 respectively. Ravi P. Agarwal, Ph.D., is an Emeritus Research Professor in the Department of Mathematics and Systems Engineering at the Florida Institute of Technology (USA). He has authored or co-authored more than 50 books and more than 2,000 research articles. He has received numerus honors and awards from several universities of the world. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and general inequalities. Dr. Agarwal received his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973.
Rezensionen
"The book provides an excellent collection of ideas to spice up a lecture on differential equations with an analytical approach and thus to increase the motivation of students." (Volker H. Schulz, SIAM Review, Vol. 62 (3), 2020)