Periodic Solutions of First-Order Functional Differential Equations in Population Dynamics (PDF)

Seshadev Padhi is associate professor of mathematics at Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India. He received his PhD on the topic on "oscillation theory of third order differential equations". He was awarded with the BOYSCAST (Better Opportunities for Young Scientists in Chosen Areas of Science and Technology) fellow by the Department of Science and Technology (DST), Government of India in 2004 to visit Mississippi State Univerisity, USA. Subsequently, Dr. Padhi did his post-doctoral work in Mississippi State University, USA. In addition, Dr. Padhi visited several Institutes of international repute: Florida Institute of Technology, Melbourna, Florida USA to work in Collaboration with Prof. T. Gnanabhakar in 2006; Texas State University at San Marcos, Texas, USA to work in collaboration with Prof. Julio G.Dix, in 2009; University of Tennessee at Chattanooga, Chattanooga, Tennessee, USA in 2011, 2012 and 2013 to work in collaboration with Prof. John R. Graef; University of Szeged, Szeged, Hungary in 2007 and 2011 to work in collaboration with Prof. Tibor Krisztin. Besides, he also visited ETH, Zurich, Switzerland under Borel Set Theory Programme in 2005, and also several countries to deliver lectures in different international conferences and workshops. Dr. Padhi got UNESCO travel and lodging grant to visit ICTP, Trieste, Italy in the year 2003. Dr. Padhi has published more than sixty research papers in international journals of repute. He has been working as referee for more than 30 international journals and a reviewer of Mathematical Review since 2006.

John R. Graef is professor of mathematics at The University of Tennessee at Chattanooga. His research interests include ordinary and functional differential equations, difference equations, impulsive systems, differential inclusions, dynamic equations on time scales, fractional differential equations, and their applications. His special interests are in nonlinear oscillations,

“This book presents various results on the existence and stability of periodic solutions for first order scalar functional differential equations. … This book is written in a clear and concise style and offers a valuable reference guide for students and researchers interested in the study of periodic solutions for functional differential equations.” (Adriana Buică, zbMATH 1312.34002, 2015)