Results for retarded nonlinear integral inequalities with mixed powers and their applications to delay integro-differential equations

  • А. Shakoor Department of Mathematics, the Islamia University of Bahawalpur, Pakistan
  • M. Samar College of Mathematics and Computer Science, Zhejiang Normal University, Jinhua, China
  • T. Athar Department of Computer Science, Shaheed Zul kar Ali Bhutto Institute of Science and Technology, Islamabad, Pakistan
  • M. Saddique Khwaja Fareed University of Engineering and Information Technology, Rahim Yar Khan, Pakistan
Keywords: Retarded integral inequality, Boundedness, Delay integro-differential equation


UDC 517.9

We present new retarded nonlinear integral inequalities with mixеd powers. The obtained inequalities can be used to study the boundedness and global existence of the solutions of  integro-differential equation with delay and Volterra-type integral equation with delay.  These inequalities extend some  results available in the  literature.  Finally, we present two examples to demonstrate the usefulness of our main results.


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How to Cite
ShakoorА., M. Samar, T. Athar, and M. Saddique. “Results for Retarded Nonlinear Integral Inequalities With Mixed Powers and Their Applications to Delay Integro-Differential Equations”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, no. 3, Apr. 2023, pp. 416 -29, doi:10.37863/umzh.v75i3.6903.
Research articles