Title of article :
Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
Author/Authors :
Allahyari, Reza Department of Mathematics - Mashhad Branch - Islamic Azad University, mashhad , Aghajani, Asadollah School of Mathematics - Iran University of Science and Technology - Narmark, Tehran
Abstract :
In this brief note, using the technique of measures of noncompactness, we give some extensions of
Darbo xed point theorem. Also we prove an existence result for a quadratic integral equation
of Hammerstein type on an unbounded interval in two variables which includes several classes of
nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show
the effciency of our result.
Keywords :
Measure of noncompactness , Quadratic integral equation , Darbo fixed point theorem
Journal title :
Astroparticle Physics
