Results 161 to 170 of about 5,092,236 (288)

Scattering and Blow‐Up Dichotomy of the Energy‐Critical Nonlinear Schrödinger Equation With the Inverse‐Square Potential

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9225-9240, 30 May 2025.
ABSTRACT In this paper, we consider the energy critical nonlinear Schrödinger equation with a repulsive inverse square potential. In particular, we deal with radial initial data, whose energy is equal to the energy of static solution to the corresponding nonlinear Schrödinger equation without a potential.
Masaru Hamano, Masahiro Ikeda
wiley   +1 more source

Banach spaces [PDF]

open access: yesMémoires de la Société mathématique de France, 1974
Gruson, L., Put, M. van der
openaire   +2 more sources

${\mu}$- Integrable Functions and Weak Convergence of Finite Measures

open access: yes, 2018
This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.Comment: We generalize ...
Zeng, Renying
core  

Qualitative Study of a Dynamical System for Computer Virus Propagation—A Nonstandard Finite‐Difference‐Methodological View

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9272-9291, 30 May 2025.
ABSTRACT In this article, we consider a nonlinear model that was originally proposed for computer virus propagation by Gan and coauthors in 2013. As our first contribution, we re‐examined and extended some analytical results regarding this dynamical system. Secondly, we reformulated it by one nonlinear, nonautonomous differential equation.
Benjamin Wacker
wiley   +1 more source

Stability Of a Quadratic Functional Equation in Intuitionistic Fuzzy Banach Spaces

open access: yesJournal of New Results in Science, 2016
Hyers-Ulam-Rassias stability theorem has been applied to several functional equations for studying stability in caseof approximation of a given functional equation in Banach spaces,fuzzy Banach spaces etc.
Pratap Mondal   +2 more
doaj  

On the set of initial guesses for the secant method

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7398-7411, 15 May 2025.
The secant method is the most used iterative method to solve an operator equation where the operator involved is nondifferentiable. A known problem that arises when applying this method is its accessibility. Then, we try to improve it by using the technique of decomposition of the operator involved, so that the operator is in turn the sum of two ...
Alejandro Moysi   +3 more
wiley   +1 more source

Using decomposition of the nonlinear operator for solving non‐differentiable problems

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 7, Page 7987-8006, 15 May 2025.
Starting from the decomposition method for operators, we consider Newton‐like iterative processes for approximating solutions of nonlinear operators in Banach spaces. These iterative processes maintain the quadratic convergence of Newton's method.
Eva G. Villalba   +3 more
wiley   +1 more source

Tensor products of abstract Besov spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
We prove the interpolation theorem for tensor products of abstract Besov spaces, associated with closed operators in Banach spaces and show its application to the problems of approximations of elements of tensor products of Banach spaces.
Dmytryshyn M.I.
doaj  

Frame Wavelet Sets and Wavelets in Banach Spaces [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2014
In this paper, we try to study a special class of frame wavelets in Banach spaces whose Fourier transforms are supported by frame wavelet sets. Our results generalize the various results of [2] to Banach spaces other than Hilbert spaces using the ...
Devendra Kumar, Shiv Kumar
doaj  

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