eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
1
10
10.22075/ijnaa.2013.19
19
A finite difference method for the smooth solution of linear Volterra integral equations
M. Jalalvand
m_djalal@iust.ac.ir
1
B. Jazbi
jazbi@iust.ac.ir
2
M. R. Mokhtarzadeh
mrmokhtarzadeh@ipm.ir
3
of Mathematics, Faculty of Mathematical Sciences and Computer , Shahid Chamran University, Ahvaz, Iran.
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran.
School of Mathematics, Institute for Research in Fundamental Sciences, P. O. Box: 193955746, Tehran, Iran.
The present paper proposes a fast numerical method for the linear Volterra integral equations with<br />regular and weakly singular kernels having smooth solutions. This method is based on the approx<br />imation of the kernel, to simplify the integral operator and then discretization of the simplied<br />operator using a forward dierence formula. To analyze and verify the accuracy of the method, we<br />examine sample and benchmark problems with known exact solutions.
https://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
Integral equation
Linear Integral Equation
Weakly Singular Volterra
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
11
14
10.22075/ijnaa.2013.20
20
A remark on boundedness of composition operators
between weighted spaces of holomorphic functions on the upper halfplane
M. A. Ardalani
m.ardalani@uok.ac.ir
1
Department of Mathematics, Faculty of Science, University of Kurdistan, Pasdaran Ave., Postal Code: 66177175 Sanandaj, Iran.
In this paper, we obtain a sucient condition for boundedness of composition operators between<br />weighted spaces of holomorphic functions on the upper halfplane whenever our weights are standard<br />analytic weights, but they don't necessarily satisfy any growth condition.
https://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
dierentiation operator
holomorphic functions
weighted spaces
upper halfplane
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
15
25
10.22075/ijnaa.2013.21
21
Common fixed point theorems for maps under a new contractive condition
S. Moradi
1
E. A. Audeganib
2
D. Alimohammadi
3
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
Department of Mathematics, Faculty of Science, Arak University, P. O. Box: 3815688349, Arak, Iran.
In this paper xed point and coincidence results are presented for two and three singlevalued map<br />pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi<br />(2008).
https://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
26
44
10.22075/ijnaa.2013.22
22
Strong differential subordination and superordination of analytic functions associated with Komatu operator
M. P. Jeyaramana
1
T. K. Suresh
2
E. Keshava Reddy
3
Department of Mathematics, L. N. Government College, Ponneri, Chennai  601 204, Tamilnadu, India.
Department of Mathematics, Easwari Engineering College, Chennai  600 089, Tamilnadu, India.
Department of Mathematics, Jawaharlal Nehru Technological University, Anantapur  515 002, Andhra Pradesh, India.
Strong dierential subordination and superordination properties are determined for some families<br />analytic functions in the open unit disk which are associated with the Komatu operator by investigating<br />appropriate classes of admissible functions. New strong dierential sandwichtype results are<br />also obtained.
https://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
45
52
10.22075/ijnaa.2013.29
29
Some new results
using integration of arbitrary order
A. Anber
1
Z. Dahmani
2
B. Bendoukha
3
Department of Mathematics, USTO University of Oran, Algeria.
LPAM, Faculty of SEI, UMAB, University of Mostaganem, Algeria.
LPAM, Faculty of Exact Science and Informatics, UMAB, University of Mostaganem, Algeria.
In this paper, we present recent results in integral inequality theory. Our results are based on the<br />fractional integration in the sense of RiemannLiouville
https://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
53
61
10.22075/ijnaa.2013.30
30
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
V. Dadashi
1
S. Ghafari
2
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
Department of Mathematics, Islamic Azad University{Sari Branch, Sari, Iran.
In this paper we propose and studied a new composite iterative scheme with certain control con<br />ditions for viscosity approximation for a zero of accretive operator and xed points problems in a<br />reflexive Banach space with weakly continuous duality mapping. Strong convergence of the sequence<br />fxng dened by the new introduced iterative sequence is proved. The main results improve and<br />complement the corresponding results of [1, 4, 10].
https://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
62
67
10.22075/ijnaa.2013.31
31
Stochastic differential equations and integrating factor
R. Rezaeyan
1
E Baloui
2
Department of Statistic and Mathematics, Nour Branch, Islamic Azad University, Nour, Iran.
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
The aim of this paper is the analytical solutions the family of rstorder nonlinear stochastic differential<br />equations. We dene an integrating factor for the large class of special nonlinear stochastic<br />dierential equations. With multiply both sides with the integrating factor, we introduce a deterministic<br />dierential equation. The results showed the accuracy of the present work.
https://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
Stochastic Differential Equation
Analytical Solution
Integrating Factor
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
68
77
10.22075/ijnaa.2013.57
57
Existence of three positive solutions for nonsmooth
functional involving the pbiharmonic operator
M. B. Ghaemi
1
S. Mir
2
Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran, Iran
Department of Mathematics, Faculty of Basic Sciences, Payame Noor University, Tehran, Iran
This paper is concerned with the study of the existence of positive solutions for a Navier boundary<br />value problem involving the pbiharmonic operator; the right hand side of problem is a nonsmooth<br />functional with variable parameters. The existence of at least three positive solutions is established<br />by using nonsmooth version of a three critical points theorem for discontinuous functions. Our results<br />also yield an estimate on the norms of the solutions indepent of the parameters.
https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
pbiharmonic
nonsmooth nonlinearity
Critical points
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
78
88
10.22075/ijnaa.2013.58
58
Totally probabilistic Lp spaces
F. Bahrami
1
M. Mohammadbaghban
2
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
Department of Mathematical Sciences, Isfahan university of Technology, Isfahan 84156 83111, Iran.
In this paper, we introduce the notion of probabilistic valued measures as a generalization of non<br />negative measures and construct the corresponding Lp spaces, for distributions p > "0. It is also<br />shown that if the distribution p satises p "1 then, as in the classical case, these spaces are complete<br />probabilistic normed spaces.
https://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
probabilistic normed space
probabilistic valued measure
probabilistic Lp spaces
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
20086822
20086822
20130601
4
2
89
101
10.22075/ijnaa.2013.60
60
A fixed point approach to the HyersUlam stability of an $AQ$ functional equation in probabilistic modular spaces
S. Zolfaghari
1
A. Ebadian
2
S. Ostadbashi
3
M. De La Sen
4
M. Eshaghi Gordji
5




In this paper, we prove the HyersUlam stability in<br />$beta$homogeneous probabilistic modular spaces via fixed point method for the functional equation<br />[<br />f(x+ky)+f(xky)=f(x+y)+f(xy)+frac{2(k+1)}{k}f(ky)2(k+1)f(y)<br />]<br />for fixed integers $k$ with $kneq 0,pm1.$
https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf
HyersUlam stability
AQ functional Equation
Fixed point
Probabilistic Modular Space