International Journal Of Nonlinear Analysis And Applications
Volume:4 Issue: 2, Winter - Spring 2013

The present paper proposes a fast numerical method for the linear Volterra integral equations with regular and weakly singular kernels having smooth solutions. This method is based on the approx- imation of the kernel, to simplify the integral operator and then discretization of the simpli ed operator using a forward di erence formula. To analyze and verify the accuracy of the method, we examine sample and benchmark problems with known exact solutions.

In this paper, we obtain a sucient condition for boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane whenever our weights are standard analytic weights, but they don''t necessarily satisfy any growth condition. di erentiation operator, holomorphic functions, weighted spaces, upper half-plane.

In this paper xed point and coincidence results are presented for two and three single-valued map- pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi (2008).

Strong di erential subordination and superordination properties are determined for some families analytic functions in the open unit disk which are associated with the Komatu operator by investigating appropriate classes of admissible functions. New strong di erential sandwich-type results are also obtained.

In this paper, we present recent results in integral inequality theory. Our results are based on the fractional integration in the sense of Riemann-Liouville.