ORIGINAL_ARTICLE
A finite difference method for the smooth solution of linear Volterra integral equations
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.
https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
2013-06-01
1
10
10.22075/ijnaa.2013.19
Integral equation
Linear Integral Equation
Weakly Singular Volterra
M.
Jalalvand
m_djalal@iust.ac.ir
1
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
AUTHOR
B.
Jazbi
jazbi@iust.ac.ir
2
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
AUTHOR
M. R.
Mokhtarzadeh
mrmokhtarzadeh@ipm.ir
3
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 19395-5746, Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A remark on boundedness of composition operators between weighted spaces of holomorphic functions on the upper half-plane
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.
https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
2013-06-01
11
14
10.22075/ijnaa.2013.20
differentiation operator
holomorphic functions
weighted spaces
upper half-plane
M. A.
Ardalani
m.ardalani@uok.ac.ir
1
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177-175 Sanandaj, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Common fixed point theorems for maps under a new contractive condition
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).
https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
2013-06-01
15
25
10.22075/ijnaa.2013.21
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
S.
Moradi
1
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
LEAD_AUTHOR
E. A.
Audeganib
2
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
AUTHOR
D.
Alimohammadi
3
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 38156-8-8349, Arak, Iran.
AUTHOR
ORIGINAL_ARTICLE
Strong differential subordination and superordination of analytic functions associated with Komatu operator
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.
https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
2013-06-01
26
44
10.22075/ijnaa.2013.22
Strong Differential Subordination
Strong Differential Superordination
Analytic functions
Admissible Functions
Hadamard product
M. P.
Jeyaramana
1
Department of Mathematics, L. N. Government College, Ponneri, Chennai - 601 204, Tamilnadu, India
LEAD_AUTHOR
T. K.
Suresh
2
Department of Mathematics, Easwari Engineering College, Chennai - 600 089, Tamilnadu, India
AUTHOR
E.
Keshava Reddy
3
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur - 515 002, Andhra Pradesh, India
AUTHOR
ORIGINAL_ARTICLE
Some new results using integration of arbitrary order
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
https://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
2013-06-01
45
52
10.22075/ijnaa.2013.29
Integral inequality
Riemann-Liouville integral operator
A.
Anber
1
Department of Mathematics, USTO University of Oran, Algeria
AUTHOR
Z.
Dahmani
2
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria
LEAD_AUTHOR
B.
Bendoukha
3
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria
AUTHOR
ORIGINAL_ARTICLE
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
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].
https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
2013-06-01
53
61
10.22075/ijnaa.2013.30
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
V.
Dadashi
1
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
LEAD_AUTHOR
S.
Ghafari
2
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
AUTHOR
ORIGINAL_ARTICLE
Stochastic differential equations and integrating factor
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.
https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
2013-06-01
62
67
10.22075/ijnaa.2013.31
Stochastic differential equation
Analytical Solution
Integrating Factor
R.
Rezaeyan
1
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
LEAD_AUTHOR
E
Baloui
2
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
AUTHOR
ORIGINAL_ARTICLE
Existence of three positive solutions for nonsmooth functional involving the p-biharmonic operator
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.
https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
2013-06-01
68
77
10.22075/ijnaa.2013.57
p-biharmonic
nonsmooth nonlinearity
Critical points
M. B.
Ghaemi
1
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
LEAD_AUTHOR
S.
Mir
2
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
AUTHOR
ORIGINAL_ARTICLE
Totally probabilistic $L^p$ spaces
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.
https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
2013-06-01
78
88
10.22075/ijnaa.2013.58
probabilistic normed space
probabilistic valued measure
probabilistic $L^p$ spaces
F.
Bahrami
1
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
LEAD_AUTHOR
M.
Mohammadbaghban
2
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
AUTHOR
ORIGINAL_ARTICLE
A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
In this paper, we prove the Hyers-Ulam stability in$\beta$-homogeneous probabilistic modular spaces via fixed point method for the functional equation\[f(x+ky)+f(x-ky)=f(x+y)+f(x-y)+\frac{2(k+1)}{k}f(ky)-2(k+1)f(y)\]for fixed integers $k$ with $k\neq 0,\pm1.$
https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf
2013-06-01
89
101
10.22075/ijnaa.2013.60
Hyers-Ulam stability
AQ functional Equation
Fixed point
Probabilistic Modular Space
S.
Zolfaghari
1
Department of Mathematics, Urmia University, Urmia, Iran
AUTHOR
A.
Ebadian
2
Department of Mathematics, Urmia University, Urmia, Iran
AUTHOR
S.
Ostadbashi
3
Department of Mathematics, Urmia University, Urmia, Iran
AUTHOR
M.
De La Sen
4
Institute of Research and Development of Processes University of Basque Country Campus of Leioa (Bizkaia) - Aptdo. 644- Bilbao, 48080- Bilbao, Spain
AUTHOR
M.
Eshaghi Gordji
5
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
LEAD_AUTHOR