Open AccessPositive solutions of a quadratic integro-differential equation
Author(s) -
Fatma M. Gaafar
Publication year - 2014
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2013.07.014
Subject(s) - mathematics , quadratic equation , measure (data warehouse) , differential equation , integro differential equation , value (mathematics) , mathematical analysis , initial value problem , first order partial differential equation , statistics , computer science , geometry , database
In this paper, we study the existence of at least one positive and nondecreasing solution for the initial value problem of a quadratic integro-differential equation by applying the technique of measure of noncompactness. Some examples will be included to illustrate the obtained results