Results 21 to 30 of about 2,738 (104)

Direct and inverse problems for linear relations

Bruno Pini Mathematical Analysis Seminar, 2013
Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj  

Linear inverse problems for integro-differential equations in Banach spaces with a bounded operator

Современная математика: Фундаментальные направления
In this paper, we study the questions of well-posedness of linear inverse problems for equations in Banach spaces with an integro-differential operator of the Riemann-Liouville type and a bounded operator at the unknown function.
V. E. Fedorov, A. D. Godova
doaj   +1 more source

The Petrov-Galerkin Method and Chebyshev Multiwavelet Basis for Solving Integro-Differential Equations

International Journal of Industrial Engineering and Production Research, 2007
: There are some methods for solving integro-differential equations. In this work, we solve the general-order Feredholm integro-differential equations. The Petrov-Galerkin method by considering Chebyshev multiwavelet basis is used.
k. Maleknejad, M. Rabbani
doaj  

Scattering forms and the positive geometry of kinematics, color and the worldsheet

Journal of High Energy Physics, 2018
The search for a theory of the S-Matrix over the past five decades has revealed surprising geometric structures underlying scattering amplitudes ranging from the string worldsheet to the amplituhedron, but these are all geometries in auxiliary spaces as ...
Nima Arkani-Hamed, Yuntao Bai, Song He, Gongwang Yan   +3 more
doaj   +1 more source

Fractional-power approach for the study of elliptic second-order boundary-value problems with variable-operator coefficients in an unbounded domain

Electronic Journal of Differential Equations, 2020
In this article, we give new results on the study of elliptic complete abstract second order differential equations with variable operator coefficients under Dirichlet boundary conditions, and set in $\mathbb{R}_+$.
Fatiha Boutaous
doaj  

Existence of common fuzzy fixed points via fuzzy F-contractions in b-metric spaces

Scientific Reports
The main goal of this study is to establish common fuzzy fixed points in the context of complete b-metric spaces for a pair of fuzzy mappings that satisfy F-contractions.
Shazia Kanwal, Sana Waheed, Ariana Abdul Rahimzai, Ilyas Khan   +3 more
doaj   +1 more source

A novel hybrid framework for efficient higher order ODE solvers using neural networks and block methods

Scientific Reports
In this paper, the author introduces the Neural-ODE Hybrid Block Method, which serves as a direct solution for solving higher-order ODEs. Many single and multi-step methods employed in numerical approximations lose their stability when applied in the ...
V. Murugesh, M. Priyadharshini, Yogesh Kumar Sharma, Umesh Kumar Lilhore, Roobaea Alroobaea, Hamed Alsufyani, Abdullah M. Baqasah, Sarita Simaiya   +7 more
doaj   +1 more source

The anholonomic frame and connection deformation method for constructing off-diagonal solutions in (modified) Einstein gravity and nonassociative geometric flows and Finsler–Lagrange–Hamilton theories

European Physical Journal C: Particles and Fields
This article is a status report on the anholonomic frame and connection deformation method, AFCDM, for constructing generic off-diagonal exact and parametric solutions in general relativity, GR, relativistic geometric flows and modified gravity theories,
Laurenţiu Bubuianu, Julia O. Seti, Douglas Singleton, Panayiotis Stavrinos, Sergiu I. Vacaru, Elşen Veli Veliev   +5 more
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On the Order of Singularity of the Generalized Solution of the Volterra Integral Equation of Convolutional Type in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2014
In the study of Volterra integral equations of convolution type defined on the semi-axis with the Fredholm operator in the main part and the operator-valued kernel K = K(t) in Banach spaces we ordinarily solved the problem of constructing a generalized K(
S.S. Orlov
doaj  

MU-LSM: latent spectral model based on multi-scale fusion and UNet

Complex & Intelligent Systems
For partial differential equations (PDE), neural operators can learn the mapping of input and output functions in infinite dimensional Spaces by introducing kernel functions into linear transformations.
Jingjian Chen, Jie Nie, Ning Song, Min Ye, Zhiqiang Wei   +4 more
doaj   +1 more source