Theory of Third-Order Differential Equations

SESHADEV PADHI is associate professor of mathematics at Birla Institute of Technology, Mesra, Ranchi, Jharkhand, India. He received his PhD on the topic “oscillation theory of third-order differential equations”. He was awarded the Better Opportunities for Young Scientists in Chosen Areas of Science and Technology (BOYSCAST) fellowship by the Department of Science and Technology (DST), Government of India in 2004, to visit Mississippi State University, USA, where he subsequently did his postdoctoral research. In addition, Dr. Padhi has visited several institutes of international repute: Florida Institute of Technology, Melbourna, Florida, USA, in 2006 to work in collaboration with Prof. T. Gnanabhaskar; Texas State University, San Marcos, Texas, USA, in 2009 to work in collaboration with Prof. Julio G.Dix; University of Tennessee, Chattanooga, Tennessee, USA, in 2011, 2012 and 2013 to work in collaboration with Prof. John R. Graef; University of Szeged, Szeged, Hungary, in 2007 and2011 to work in collaboration with Prof. Tibor Krisztin. Besides, he also visited Eidgenössische Technische Hochschule (ETH) Zürich, Switzerland, under Borel Set Theory Programme in 2005, and many other countries to deliver lectures in international conferences and workshops. Dr. Padhi has published more than 60 research papers in international journals of repute and has been working as referee for Mathematical Review for more than 30 international journals since 2006. SMITA PATI is a postdoctoral fellow in the Department of Applied Mathematics, Birla Institute of Technology, Mesra, Ranchi, India, working under the postdoctoral grant from the National Board for Higher Mathematics (NBHM), Department of Atomic Energy (DAE), Government of India. Besides, Dr. Pati has been working as a referee for seven international mathematics journals and for Mathematical Review. She was awarded with Marqui's Whos Who in the year 2012 and has published 15 research papers in international journalsof repute, in addition to publishing several research papers in collaboration with Prof. Julio G. Dix, Texas State University, USA, and John R. Graef, University of Tennessee, Chattanooga, Tennessee, USA. She has visited several institutes in Hungary and Italy to deliver lectures in different conferences on Differential Equations.

Preface.- Chapter 1: Introduction.- Chapter 2: Behaviour of Solutions of Linear Homogeneous Differential Equations of Third Order.- Chapter 3: Oscillation of Solutions of Linear Nonhomogeneous Differential Equations of Third Order.- Chapter 4: Oscillation and Nonoscillation of Homogeneous Third-order Nonlinear Differential Equations.- Chapter 5: Oscillation and Nonoscillation of Nonlinear Nonhomogeneous Differential Equations of Third Order.- Chapter 6: Oscillatory and Asymptotic Behavior of Solutions of Third Order Delay Differential Equations.- Chapter 7: Stability of Third Order Differential Equations.- References.​