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