منابع مشابه
System of AQC functional equations in non-Archimedean normed spaces
In 1897, Hensel introduced a normed space which does not have the Archimedean property. During the last three decades theory of non--Archimedean spaces has gained the interest of physicists for their research in particular in problems coming from quantum physics, p--adic strings and superstrings. In this paper, we prove the generalized Hyers--Ulam--Rassias stability for a ...
متن کاملModified homotopy perturbation method for solving non-linear oscillator's equations
In this paper a new form of the homptopy perturbation method is used for solving oscillator differential equation, which yields the Maclaurin series of the exact solution. Nonlinear vibration problems and differential equation oscillations have crucial importance in all areas of science and engineering. These equations equip a significant mathematical model for dynamical systems. The accuracy o...
متن کاملPositive-additive functional equations in non-Archimedean $C^*$-algebras
Hensel [K. Hensel, Deutsch. Math. Verein, {6} (1897), 83-88.] discovered the $p$-adic number as a number theoretical analogue of power series in complex analysis. Fix a prime number $p$. for any nonzero rational number $x$, there exists a unique integer $n_x inmathbb{Z}$ such that $x = frac{a}{b}p^{n_x}$, where $a$ and $b$ are integers not divisible by $p$. Then $|x...
متن کاملModified homotopy method to solve non-linear integral equations
In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre ...
متن کاملNon-linear rough heat equations
This article is devoted to define and solve an evolution equation of the form dyt = yt dt + d Xt (yt ), where stands for the Laplace operator on a space of the form L p(Rn), and X is a finite dimensional noisy nonlinearity whose typical form is given by Xt (φ) = ∑N i=1 xi t fi (φ), where each x = (x (1), . . . , x (N ) is a γ -Hölder function generating a rough path and each fi is a smooth enou...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Tohoku Mathematical Journal
سال: 1976
ISSN: 0040-8735
DOI: 10.2748/tmj/1178240837