Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
عنوان مقاله: Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
شناسه ملی مقاله: JR_IJNAA-8-1_028
منتشر شده در در سال 1396
شناسه ملی مقاله: JR_IJNAA-8-1_028
منتشر شده در در سال 1396
مشخصات نویسندگان مقاله:
- - - Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
- - - School of Mathematics, Iran University of Science and Technology, Narmark, Tehran ۱۶۸۴۶ ۱۳۱۱۴, Iran
خلاصه مقاله:
- - - Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
- - - School of Mathematics, Iran University of Science and Technology, Narmark, Tehran ۱۶۸۴۶ ۱۳۱۱۴, Iran
In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed 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 efficiency of our result.
کلمات کلیدی: Measure of noncompactness, Quadratic integral equation, Darbo fixed point theorem
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1561899/