500 Examples and Problems of Applied Differential Equations - Agarwal, Ravi P.

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Auteur(s) : Agarwal, Ravi P. - O'Regan, Donal - Hodis, Simona

Editeur : Springer International Publishing Ag

Langue : Anglais

Parution : 01/01/2021

Format : Moyen, de 350g à 1kg

Nombre de pages : 400

Expédition : 604

Dimensions : 23.5 x 15.5 x 2.2

ISBN : 303026386X

Résumé :

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.

Biographie:
Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye. He is the co-author of one book, more than 10 chapters for edited books, and more than 400 research articles in peer-reviewed journals. His research interests include functional analysis and metric fixed point theory. Ravi P. Agarwal, Ph.D., is a Professor in the Department of Mathematics at the Texas A&M University-Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973. Dr. Agarwal has authored or co-authored 50 books and 1,750 research articles. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and general inequalities....

Sommaire:
Erdal Karapinar, Ph.D., is a Professor in the Department of Mathematics at Cankaya University and Visiting Professor at the China Medical University of Taichung. He completed his Ph.D. at the Middle East Technical University (METU), Turkiye. He is the co-author of one book, more than 10 chapters for edited books, and more than 400 research articles in peer-reviewed journals. His research interests include functional analysis and metric fixed point theory. Ravi P. Agarwal, Ph.D., is a Professor in the Department of Mathematics at the Texas A&M University-Kingsville. He completed his Ph.D. at the Indian Institute of Technology, Madras, India, in 1973. Dr. Agarwal has authored or co-authored 50 books and 1,750 research articles. His research interests include nonlinear analysis, differential and difference equations, fixed point theory, and general inequalities....