Results 61 to 70 of about 345,162 (102)

Relativistic covariance and nonlinear quantum mechanics: Tomonaga-Schwinger analysis

Physics Letters B
We use the Tomonaga–Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density (i.e., modifications to linear Schrödinger evolution) violate relativistic covariance.
Stephen D.H. Hsu
doaj   +1 more source

Expanding the Applicability of Stirling’s Method under Weaker Conditions and Restricted Convergence Regions

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
In this paper we have provided sufficient conditions to study semilocal and local convergence of the Stirling’s method. The method is used to find fixed points of nonlinear operator equation.
Argyros Ioannis K., Parida P.K.
doaj   +1 more source

The Continuous Classical Boundary Optimal Control of a Couple Linear Of Parabolic Partial Differential Equations

Al-Mustansiriyah Journal of Science, 2018
In this paper the continuous classical boundary optimal problem of a couple linear partial differential equations of parabolic type is studied, The Galerkin method is used to prove the existence and uniqueness theorem of the state vector solution of a ...
Jamil Amir Al-hawasy
doaj   +1 more source

Existence, Uniqueness, and Mittag–Leffler–Ulam Stability Results for Cauchy Problem Involving ψ-Caputo Derivative in Banach and Fréchet Spaces

International Journal of Differential Equations, 2020
Our aim in this paper is to investigate the existence, uniqueness, and Mittag–Leffler–Ulam stability results for a Cauchy problem involving ψ-Caputo fractional derivative with positive constant coefficient in Banach and Fréchet Spaces.
Choukri Derbazi, Zidane Baitiche, Mouffak Benchohra, G. N’Guérékata   +3 more
doaj   +1 more source

I: Fréchet-Urysohn spaces [PDF]

, 2016
In this paper, we introduce the concept ss-sequentially quotient mapping. Using this concept, we characterize s-Fréchet-Urysohn spaces and s-sequential spaces.
Prakash B., B. Prakash, Renukadevi V., V. Renukadevi   +3 more
core   +2 more sources

Dependence of eigenvalue of Sturm-Liouville problem with singular potential and eigenparameter-dependent boundary conditions(边界条件含有谱参数的奇异Sturm-Liouville算子特征值的依赖性)

Zhejiang Daxue xuebao. Lixue ban
In this paper, we study the dependence of eigenvalue of Sturm-Liouville operator with distributed potential function and prove the continuous dependence of eigenvalue branch by establishing boundary condition space and constructing embedded mapping ...
仲林路(ZHONG Linlu), 杜高峰(DU Gaofeng)   +1 more
doaj   +1 more source

Limit theorems for empirical Fréchet means of independent and non-identically distributed manifold-valued random variables [PDF]

, 2011
We prove weak laws of large numbers and central limit theorems of Lindeberg type for empirical centres of mass (empirical Fréchet means) of independent nonidentically distributed random variables taking values in Riemannian manifolds.
Huiling Le, Wilfrid S. Kendall, Kendall, W. S., Le, Huiling   +3 more
core   +1 more source

Fréchet Discrete Gradient and Hessian Operators on Infinite-Dimensional Spaces

Benefiting from the notion of Fréchet derivatives, we define Fréchet discrete operators, such as gradient and Hessian, on infinite-dimensional spaces. The Fréchet discrete gradient expands upon the concept of the discrete gradient of Gonzalez (1996) for ...
GÖKSU, Gökhan, Parisini, Thomas, Moreschini, Alessio   +2 more
core   +1 more source

An Improved Convergence Analysis of a Multi-Step Method with High-Efficiency Indices

Algorithms
A multi-step method introduced by Raziyeh and Masoud for solving nonlinear systems with convergence order five has been considered in this paper. The convergence of the method was studied using Taylor series expansion, which requires the function to be ...
Santhosh George, Manjusree Gopal, Samhitha Bhide, Ioannis K. Argyros   +3 more
doaj   +1 more source

Notes on Fréchet spaces

, 1999
First, we introduce sequential convergence structures and characterize Fréchet spaces and continuous functions in Fréchet spaces using these structures.
Woo Chorl Hong
core   +1 more source