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نمایش تعداد 1-10 از 45
Frame of translates a different point of view
In this paper, after a reviewing the concept of frames of translate, we introduce some of its generalizations.
In particular, we consider frames of translates on L2-R,CN- as a Hilbert MN-C--module. Next we study
this ...
On solutions and stability of a generalized quadratic equation on non-Archimedean normed spaces
In this paper we study general solutions and generalized Hyers-Ulam-Rassias stability of the following function equation
$$
f(x-\\\\sum_{i=1}^{k}x_{i})+(k-1)f(x)+(k-1)\\\\sum_{i=1}^{k}f(x_{i})
=f(x- ...
On Regularized Quasi-Semigroups and Evolution Equations
We introduce the notion of regularized quasi-semigroup of bounded linear operators on Banach
spaces and its infinitesimal generator, as a generalization of regularized semigroups of operators.
After some ...
On Two-Parameter Regularized Semigroups and the Cauchy Problem
Suppose $X$ is a Banach space and $C$ is an injective operator in
$B(X)$, the space of all bounded linear operators on $X$. In this
note two-parameter $C$-semigroup (regularized semigroup) of
operators ...
On solutions and Hyeres--Ulam--Rassias stability of a generalized quadratic equation
In this paper we study general solutions and Hyers-Ulam-Rassias stability of the following function equation
\\\\begin{equation}\\\\label{0}
(4-k)f(\\\\sum_{i=1}^{k}x_{i})+\\\\sum_{j=1}^{k}f((\\\\sum_{i=1, ...
On Solutions of A Generalized Quadratic Functional Equation of Pexider Type
In this paper we study general solutions of the following Pexider functional equation
\\\\\\\\begin{eqnarray}
(4-k)f_{1}(\\\\\\\\sum_{i=1}^{k}x_{i})+
\\\\\\\\sum_{j=2}^{k}f_{j}((\\\\\\\\sum_{i=1,i\ ...
Fuzzy 2-Normed Spaces and Its Fuzzy I-Topology
In this paper the Felbin s type fuzzy 2-norm on a vector space is introduced, when L= min and R= max and then
one of its fuzzy I-topologies is constructed. After making our elementary
observations on ...
Stability of The Volterra integrodifferential equation
In this paper, the Hyers-Ulam
stability of the Volterra integrodifferential equation
x\\\\\\'(t)=g(t,x(t))+int_0^tK(t,s,x(s))ds,
and the Volterra equation
x(t)=g(t,x(t) ...