2017-04-26T00:48:26Z
http://ijnaa.semnan.ac.ir/?_action=export&rf=summon&issue=11
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
A finite difference method for the smooth solution of linear Volterra integral equations
M.
Jalalvand
B.
Jazbi
M. R.
Mokhtarzadeh
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 approx-imation 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.
Integral Equation
Linear Integral Equation
Weakly Singular Volterra
2013
06
01
1
10
http://ijnaa.semnan.ac.ir/article_19_712297833a886150248cf0b827098930.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
A remark on boundedness of composition operators
between weighted spaces of holomorphic functions on the upper half-plane
M. A.
Ardalani
In this paper, we obtain a sucient condition for boundedness of composition operators betweenweighted spaces of holomorphic functions on the upper half-plane whenever our weights are standardanalytic weights, but they don't necessarily satisfy any growth condition.
dierentiation operator
holomorphic functions
weighted spaces
upper half-plane
2013
06
01
11
14
http://ijnaa.semnan.ac.ir/article_20_26776cff7f6c2dd72df98995b4b58215.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Common fixed point theorems for maps under a new contractive condition
S.
Moradi
E. A.
Audeganib
D.
Alimohammadi
In this paper xed point and coincidence results are presented for two and three single-valued map-pings. These results extend previous results given by Rhoades (2003) and Djoudi and Merghadi(2008).
Common fixed point
Contractive Mapping
weakly compatible
Nondecreasing
2013
06
01
15
25
http://ijnaa.semnan.ac.ir/article_21_cd424f1d622531f38d0ededfb2558297.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Strong differential subordination and superordination of analytic functions associated with Komatu operator
M. P.
Jeyaramana
T. K.
Suresh
E.
Keshava Reddy
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 sandwich-type results arealso obtained.
2013
06
01
26
44
http://ijnaa.semnan.ac.ir/article_22_f9aaf58c7dec61d03719891d7bd79755.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Some new results
using integration of arbitrary order
A.
Anber
Z.
Dahmani
B.
Bendoukha
In this paper, we present recent results in integral inequality theory. Our results are based on thefractional integration in the sense of Riemann-Liouville
2013
06
01
45
52
http://ijnaa.semnan.ac.ir/article_29_00329563718b47a1a737f5193ba5613b.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Convergence theorems of iterative approximation for finding zeros of accretive operator and fixed points problems
V.
Dadashi
S.
Ghafari
In this paper we propose and studied a new composite iterative scheme with certain control con-ditions 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].
Accretive operator
fixed points
Composite iterative schemes
Resolvent operator
2013
06
01
53
61
http://ijnaa.semnan.ac.ir/article_30_b846a52267eb0cfdd9882455934854d8.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Stochastic differential equations and integrating factor
R.
Rezaeyan
E
Baloui
The aim of this paper is the analytical solutions the family of rst-order 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.
Stochastic Differential Equation
Analytical solution
Integrating Factor
2013
06
01
62
67
http://ijnaa.semnan.ac.ir/article_31_dc8cf016f3416e0d527b8616b22dccfc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Existence of three positive solutions for nonsmooth
functional involving the p-biharmonic operator
M. B.
Ghaemi
S.
Mir
This paper is concerned with the study of the existence of positive solutions for a Navier boundaryvalue problem involving the p-biharmonic 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.
p-biharmonic
nonsmooth nonlinearity
Critical points
2013
06
01
68
77
http://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Totally probabilistic Lp spaces
F.
Bahrami
M.
Mohammadbaghban
In this paper, we introduce the notion of probabilistic valued measures as a generalization of non-negative 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.
probabilistic normed space
probabilistic valued measure
probabilistic Lp spaces
2013
06
01
78
88
http://ijnaa.semnan.ac.ir/article_58_289759d1f70a08258efdcb947dbfb090.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
A fixed point approach to the Hyers-Ulam stability of an $AQ$ functional equation in probabilistic modular spaces
S.
Zolfaghari
A.
Ebadian
S.
Ostadbashi
M.
De La Sen
M.
Eshaghi Gordji
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 $kneq 0,pm1.$
Hyers-Ulam stability
AQ functional Equation
fixed point
Probabilistic Modular Space
2013
06
01
89
101
http://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf