Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 A finite difference method for the smooth solution of linear Volterra integral equations 1 10 EN M. Jalalvand of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran. m_djalal@iust.ac.ir B. Jazbi Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran. jazbi@iust.ac.ir M. R. Mokhtarzadeh School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran. mrmokhtarzadeh@ipm.ir 10.22075/ijnaa.2013.19 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 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. Integral equation,Linear Integral Equation,Weakly Singular Volterra https://ijnaa.semnan.ac.ir/article_19.html https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane 11 14 EN M. A. Ardalani Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran. m.ardalani@uok.ac.ir 10.22075/ijnaa.2013.20 In 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. differentiation operator,holomorphic functions,weighted spaces,upper half-plane https://ijnaa.semnan.ac.ir/article_20.html https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Common fixed point theorems for maps under a new contractive condition 15 25 EN S. Moradi Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. E. A. Audeganib Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. D. Alimohammadi Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran. 10.22075/ijnaa.2013.21 In 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). Common fixed point,Contractive Mapping,weakly compatible,Nondecreasing https://ijnaa.semnan.ac.ir/article_21.html https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Strong differential subordination and superordination of analytic functions associated with Komatu operator 26 44 EN M. P. Jeyaramana Department of Mathematics, L. N. Government College, Ponneri, Chennai - 601 204, Tamilnadu, India T. K. Suresh Department of Mathematics, Easwari Engineering College, Chennai - 600 089, Tamilnadu, India E. Keshava Reddy Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur - 515 002, Andhra Pradesh, India 10.22075/ijnaa.2013.22 Strong 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. Strong Differential Subordination,Strong Differential Superordination,Analytic functions,Admissible Functions,Hadamard product https://ijnaa.semnan.ac.ir/article_22.html https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Some new results using integration of arbitrary order 45 52 EN A. Anber Department of Mathematics, USTO University of Oran, Algeria Z. Dahmani LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria B. Bendoukha LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria 10.22075/ijnaa.2013.29 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 Integral inequality,Riemann-Liouville integral operator https://ijnaa.semnan.ac.ir/article_29.html https://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems 53 61 EN V. Dadashi Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran. S. Ghafari Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran. 10.22075/ijnaa.2013.30 In 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]. Accretive operator,fixed points,Composite iterative schemes,Resolvent operator https://ijnaa.semnan.ac.ir/article_30.html https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Stochastic differential equations and integrating factor 62 67 EN R. Rezaeyan Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran. E Baloui Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran. 10.22075/ijnaa.2013.31 The 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. Stochastic differential equation,Analytical Solution,Integrating Factor https://ijnaa.semnan.ac.ir/article_31.html https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator 68 77 EN M. B. Ghaemi Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran S. Mir Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran 10.22075/ijnaa.2013.57 This 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. p-biharmonic,nonsmooth nonlinearity,Critical points https://ijnaa.semnan.ac.ir/article_57.html https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 Totally probabilistic \$L^p\$ spaces 78 88 EN F. Bahrami Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran. M. Mohammadbaghban Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran. 10.22075/ijnaa.2013.58 In 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. probabilistic normed space,probabilistic valued measure,probabilistic \$L^p\$ spaces https://ijnaa.semnan.ac.ir/article_58.html https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 4 2 2013 06 01 A fixed point approach to the Hyers-Ulam stability of an \$AQ\$ functional equation in probabilistic modular spaces 89 101 EN S. Zolfaghari Department of Mathematics, Urmia University, Urmia, Iran A. Ebadian Department of Mathematics, Urmia University, Urmia, Iran S. Ostadbashi Department of Mathematics, Urmia University, Urmia, Iran M. De La Sen Institute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia) - Aptdo. 644- Bilbao, 48080- Bilbao, Spain M. Eshaghi Gordji Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran 10.22075/ijnaa.2013.60 In 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 \$kneq 0,pm1.\$ Hyers-Ulam stability,AQ functional Equation,Fixed point,Probabilistic Modular Space https://ijnaa.semnan.ac.ir/article_60.html https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf