A finite difference method for the smooth solution of linear Volterra integral equations
M.
Jalalvand
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
author
B.
Jazbi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
author
M. R.
Mokhtarzadeh
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
author
text
article
2013
eng
The present paper proposes a fast numerical method for the linear Volterra integral equations withregular 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 simpliedoperator using a forward dierence formula. To analyze and verify the accuracy of the method, weexamine sample and benchmark problems with known exact solutions.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
1
10
http://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
dx.doi.org/10.22075/ijnaa.2013.19
A remark on boundedness of composition operators
between weighted spaces of holomorphic functions on the upper halfplane
M. A.
Ardalani
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175
Sanandaj, Iran.
author
text
article
2013
eng
In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper halfplane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
11
14
http://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
dx.doi.org/10.22075/ijnaa.2013.20
Common fixed point theorems for maps under a new contractive condition
S.
Moradi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
author
E. A.
Audeganib
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
author
D.
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
author
text
article
2013
eng
In this paper xed point and coincidence results are presented for two and three singlevalued mappings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008).
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
15
25
http://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
dx.doi.org/10.22075/ijnaa.2013.21
Strong differential subordination and superordination of analytic functions associated with Komatu operator
M. P.
Jeyaramana
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India.
author
T. K.
Suresh
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India.
author
E.
Keshava Reddy
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
author
text
article
2013
eng
Strong dierential subordination and superordination properties are determined for some familiesanalytic functions in the open unit disk which are associated with the Komatu operator by investigatingappropriate classes of admissible functions. New strong dierential sandwichtype results arealso obtained.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
26
44
http://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
dx.doi.org/10.22075/ijnaa.2013.22
Some new results
using integration of arbitrary order
A.
Anber
Department of Mathematics, USTO University of Oran, Algeria.
author
Z.
Dahmani
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria.
author
B.
Bendoukha
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
author
text
article
2013
eng
In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of RiemannLiouville
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
45
52
http://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
dx.doi.org/10.22075/ijnaa.2013.29
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
V.
Dadashi
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
author
S.
Ghafari
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
author
text
article
2013
eng
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 xed points problems in areflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequencefxng dened by the new introduced iterative sequence is proved. The main results improve andcomplement the corresponding results of [1, 4, 10].
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
53
61
http://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
dx.doi.org/10.22075/ijnaa.2013.30
Stochastic differential equations and integrating factor
R.
Rezaeyan
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
author
E
Baloui
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
author
text
article
2013
eng
The aim of this paper is the analytical solutions the family of rstorder nonlinear stochastic differentialequations. We dene an integrating factor for the large class of special nonlinear stochasticdierential equations. With multiply both sides with the integrating factor, we introduce a deterministicdierential equation. The results showed the accuracy of the present work.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
62
67
http://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
dx.doi.org/10.22075/ijnaa.2013.31
Existence of three positive solutions for nonsmooth
functional involving the pbiharmonic operator
M. B.
Ghaemi
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
author
S.
Mir
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
author
text
article
2013
eng
This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the pbiharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. The existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. Our resultsalso yield an estimate on the norms of the solutions indepent of the parameters.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
68
77
http://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
dx.doi.org/10.22075/ijnaa.2013.57
Totally probabilistic Lp spaces
F.
Bahrami
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
author
M.
Mohammadbaghban
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
author
text
article
2013
eng
In this paper, we introduce the notion of probabilistic valued measures as a generalization of nonnegative measures and construct the corresponding Lp spaces, for distributions p > "0. It is alsoshown that if the distribution p satises p "1 then, as in the classical case, these spaces are completeprobabilistic normed spaces.
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
78
88
http://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
dx.doi.org/10.22075/ijnaa.2013.58
A fixed point approach to the HyersUlam stability of an $AQ$ functional equation in probabilistic modular spaces
S.
Zolfaghari

author
A.
Ebadian

author
S.
Ostadbashi

author
M.
De La Sen

author
M.
Eshaghi Gordji
author
text
article
2013
eng
In this paper, we prove the HyersUlam stability in$\beta$homogeneous probabilistic modular spaces via fixed point method for the functional equation\[f(x+ky)+f(xky)=f(x+y)+f(xy)+\frac{2(k+1)}{k}f(ky)2(k+1)f(y)\]for fixed integers $k$ with $k\neq 0,\pm1.$
International Journal of Nonlinear Analysis and Applications
Semnan University
20086822
4
v.
2
no.
2013
89
101
http://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf
dx.doi.org/10.22075/ijnaa.2013.60