Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001A finite difference method for the smooth solution of linear Volterra integral equations1101910.22075/ijnaa.2013.19ENM. Jalalvandof Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.B. JazbiDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.M. R. MokhtarzadehSchool of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran.Journal Article20120810The 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 approximation of the kernel, to simplify the integral operator and then discretization of the simplified operator using a forward difference formula. To analyze and verify the accuracy of the method, we examine sample and benchmark problems with known exact solutions.https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220130601A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane11142010.22075/ijnaa.2013.20ENM. A. ArdalaniDepartment of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175
Sanandaj, Iran.0000-0002-3214-3116Journal Article20120408In this paper, we obtain a sufficient 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.https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Common fixed point theorems for maps under a new contractive condition15252110.22075/ijnaa.2013.21ENS. MoradiDepartment of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.E. A. AudeganibDepartment of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.D. AlimohammadiDepartment of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.Journal Article20130607In this paper fixed point and coincidence results are presented for two and three single-valued mappings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi (2008).https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Strong differential subordination and superordination of analytic functions associated with Komatu operator26442210.22075/ijnaa.2013.22ENM. P. JeyaramanaDepartment of Mathematics, L. N. Government College, Ponneri, Chennai - 601 204, Tamilnadu, IndiaT. K. SureshDepartment of Mathematics, Easwari Engineering College, Chennai - 600 089, Tamilnadu, IndiaE. Keshava ReddyDepartment of Mathematics, Jawaharlal Nehru Technological University, Anantapur - 515 002, Andhra Pradesh, IndiaJournal Article20120827Strong differential 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 differential sandwich-type results are also obtained.https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Some new results using integration of arbitrary order45522910.22075/ijnaa.2013.29ENA. AnberDepartment of Mathematics, USTO University of Oran, AlgeriaZ. DahmaniLPAM, Faculty of SEI, UMAB, University of Mostaganem, AlgeriaB. BendoukhaLPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, AlgeriaJournal Article20120516In this paper, we present recent results in integral inequality theory. Our results are based on the fractional integration in the sense of Riemann-Liouvillehttps://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems53613010.22075/ijnaa.2013.30ENV. DadashiDepartment of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.S. GhafariDepartment of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.Journal Article20120627In this paper we propose and studied a new composite iterative scheme with certain control conditions for viscosity approximation for a zero of accretive operator and fixed points problems in a reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence $\{x_n\}$ defined by the new introduced iterative sequence is proved. The main results improve and complement the corresponding results of [1, 4, 10].https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Stochastic differential equations and integrating factor62673110.22075/ijnaa.2013.31ENR. RezaeyanDepartment of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.E BalouiDepartment of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.Journal Article20120812The aim of this paper is the analytical solutions the family of first-order nonlinear stochastic differential equations. We define an integrating factor for the large class of special nonlinear stochastic differential equations. With multiply both sides with the integrating factor, we introduce a deterministic differential equation. The results showed the accuracy of the present work.https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator68775710.22075/ijnaa.2013.57ENM. B. GhaemiDepartment of Mathematics, Iran University of Science and Technology, Narmak, Tehran, IranS. MirDepartment of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, IranJournal Article20120101This paper is concerned with the study of the existence of positive solutions for a Navier boundary value problem involving the p-biharmonic operator; the right hand side of problem is a nonsmooth functional with variable parameters. The existence of at least three positive solutions is established by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results also yield an estimate on the norms of the solutions indepent of the parameters.https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001Totally probabilistic $L^p$ spaces78885810.22075/ijnaa.2013.58ENF. BahramiDepartment of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.M. MohammadbaghbanDepartment of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.Journal Article20130605In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative measures and construct the corresponding $L^p$ spaces, for distributions $p > \varepsilon_0$. It is also shown that if the distribution $p$ satisfies $p > \varepsilon_1$ then, as in the classical case, these spaces are complete probabilistic normed spaces.https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdfSemnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-68224220131001A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces891016010.22075/ijnaa.2013.60ENS. ZolfaghariDepartment of Mathematics, Urmia University, Urmia, IranA. EbadianDepartment of Mathematics, Urmia University, Urmia, IranS. OstadbashiDepartment of Mathematics, Urmia University, Urmia, IranM. De La SenInstitute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia) - Aptdo.
644- Bilbao, 48080- Bilbao, SpainM. Eshaghi GordjiDepartment of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan
35195-363, IranJournal Article20121030In this paper, we prove the Hyers-Ulam stability in<br />$\beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation<br />\[<br />f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{2(k+1)}{k}f(ky)-2(k+1)f(y)<br />\]<br />for fixed integers $k$ with $k\neq 0,\pm1.$https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf