Ravi P. Agarwal

Texas A&W University

Kingsville, USA

An Integral equation related to infectious disease

A nonlinear integral equation related to infectious disease is investigated. Using a fixed-point theorem for convex-concave and nondecreasing operators defined in a Banach space with a normal solid cone,  we derive some existence and uniqueness results of positive solutions to the considered equation.  Moreover, an iterative algorithm that converges to the unique solution is provided.  Our results are supported by examples.

Short bio

Ravi P. Agarwal was born in Moradabad (India) on July 10, 1947. He earned his Master’s degree from Agra University in 1969, ranking 2nd among over 500 in that year. In 1973, he earned his Ph. D. (Mathematics) at the Indian Institute of Technology in Madras, India, which is one of the highest ranking universities in India. Since then, for the last 50 years, Dr. Agarwal has been actively involved in research and pedagogical activities. He has made significant contributions in various research fields, including Numerical Analysis, Differential and Difference Equations, Inequalities, and Fixed Point Theorems. He is an excellent scholar, a dedicated teacher, and a prolific researcher. He has published 50 research monographs, and more than 1,700 publications (with almost 680 mathematicians all over the world) in prestigious national and international mathematics journals.

According to Google Scholar, Dr. Agarwal has been cited more than 46,783 times. On MathSciNet, his work has been cited more than 16,800 times by 6,800 scientists. Dr. Agarwal is the recipient of several notable honors and awards, including Doctor Honoris Causa (2015 by University of Constanta, Romania), Professor Honoris Causa (2015 by University of Cluj, Romania), Honorary Doctorate (2017
by University of Nis, Serbia), Doctor Honoris Causa (2017 by Plovdiv University, Bulgaria), Doctor Honoris Causa (2017 by Constantin Brancusi, University of Targu-Jiu, Romania), Doctor Honoris Causa (2017 by University of Oradea, Romania, 2017), Doctor Honoris Causa (by 1 December 1918, University of Alba Lulia, Romania), Honorary Doctorate (2019 by Istanbul Gelisim University, Turkey), and Doctor Honoris Causa (2019 by Transilvania University of Brasov, Romania). He was also nominated as a possible candidate for the Banco Bilbao Vizcaya Argentaria (BBVA) Foundation Frontiers of Knowledge Award, an international award scheme recognizing significant contributions in the areas of scientific research and cultural creation. Many BBVA award winners are Nobel laureates, including Stephen Hawkings. Florida Institute of Technology (USA) and King Abdulaziz University have recently offered him Distinguished University Professorship of Mathematics.