Application of Integro-differential Equations on an Inequality of Opial and Gronwall
Kemi Iyabo Apanpa *
Department of Mathematics, University of Jos Jos, Plateau State, Nigeria Emmanuel Alayande College of Education, Oyo Oyo State, Nigeria.
Wahab Rafiu Adesola
Department of Mathematics, University of Jos Jos, Plateau State, Nigeria Emmanuel Alayande College of Education, Oyo Oyo State, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
Inequalities remains an important aspect of analysis and its unique application to all areas of integro-differential equations cannot be underrated. Our aim is to derive a general equation showing relations between Opial and Gronwall inequalities, thereby using some integro-differential equation that solve into the obtained general equation to establish our result.
Keywords: Genomic imprinting in Isoetes, Opial inequalities, Abrupt DNA methylation, gronwall-bellman type inequalities, Origin of heterospory, differential equations, Evolutionary strategies., non-negative continuous functions, best possible constant