2022-05-28T17:16:20Z
https://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 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
2013
06
01
1
10
https://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 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
2013
06
01
11
14
https://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 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
2013
06
01
15
25
https://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 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
2013
06
01
26
44
https://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 the fractional integration in the sense of Riemann-Liouville
Integral inequality
Riemann-Liouville integral operator
2013
06
01
45
52
https://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 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
2013
06
01
53
61
https://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 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
2013
06
01
62
67
https://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 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
2013
06
01
68
77
https://ijnaa.semnan.ac.ir/article_57_5995deabc4ef72cb8b950293b0826ecc.pdf
International Journal of Nonlinear Analysis and Applications
IJNAA
2013
4
2
Totally probabilistic $L^p$ 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 $L^p$ 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
2013
06
01
78
88
https://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 $k\neq 0,\pm1.$
Hyers-Ulam stability
AQ functional Equation
Fixed point
Probabilistic Modular Space
2013
06
01
89
101
https://ijnaa.semnan.ac.ir/article_60_a07bbaa4e75ba7e3ff1e7aeea31d5f69.pdf