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This book discusses new developments in Hyers-Ulam Stability of Ordinary Differential Equations which says that when a solution of differential equation satisfies an inequality in a neighbourhood of origin, then there exists another solution in the same neighbourhood which is very close to the said solution.
List of contents
Introduction and Preliminaries. Stability of First Order Linear Differential Equations. Stability of Second Order Linear Differential Equations. Hyers-Ulam Stability of Exact Linear Differential Equations. Hyers-Ulam Stability of Euler’s Differential Equations. Generalized Hyers-Ulam Stability of Differential Equations. In Complex Banach Space. Hyers-Ulam Stability of Difference Equations. Bibliography. Index.
About the author
Dr. Arun Kumar Tripathy, Reader, Department of Mathematics, Sambalpur University, Sambalpur-768019 is a known name in the literature of Oscillation Theory since last two decades. His contribution basically deals with the linear and nonlinear neutral equations in difference equations, differential equations as well as in Time scales of first, second fourth and higher order equations. It is almost important that this theory is a part of so called Dynamical Systems based on Qualitative Behaviour of Solutions Differential and Difference equations. Up to his credit, he has published seventy research papers in peer reviewed journals of international repute. Apart from that he has several international collaborators Prof. S. Pinelas (Portugal), Prof. E. Schmeidal (Poland), Prof. T. G. Baskar (USA) etc. He has been invited to give talks at several international conferences. He is a potential reviewer of many international journals. After completing successfully the two years Post-Doctoral Fellowship offered by National Board for Higher Mathematics, Dept of Atomic Energy, Mumbai, Govt of India, Dr Tripathy has started his teaching career in the year 2003 and till now it is a primary job. Besides this, research is his special interest and this interest has been continued since 19 years.
Summary
This book discusses new developments in Hyers-Ulam Stability of Ordinary Differential Equations which says that when a solution of differential equation satisfies an inequality in a neighbourhood of origin, then there exists another solution in the same neighbourhood which is very close to the said solution.
