Results 1 to 10 of about 38,955 (167)
Nonlinear Analysis, 2022 In this paper, we consider the iterative properties of positive solutions for a general Hadamard-type singular fractional turbulent flow model involving a nonlinear operator.
Xinguang Zhang +3 more
doaj +1 more source
Use of Nonlinear Operators for Solving Geometric Optics Problems
East European Journal of Physics, 2022 The aim of this work is to develop and apply a mathematical apparatus based on nonlinear operators for solving problems of geometric optics, namely the construction of images of objects in systems of thin lenses. The problem of constructing the image of
Ilia V. Demydenko
doaj +1 more source
The Existence of Radial Solutions to the Schrödinger System Containing a Nonlinear Operator
Axioms, 2022 In this paper, we investigate a class of nonlinear Schrödinger systems containing a nonlinear operator under Osgood-type conditions. By employing the iterative technique, the existence conditions for entire positive radial solutions of the above problem ...
Guotao Wang, Zhuobin Zhang, Zedong Yang
doaj +1 more source
Demonstratio Mathematica, 2021 In this work, we develop and analyze an explicit finite volume scheme for a one-dimensional nonlinear, degenerate, convection–diffusion equation having application in petroleum reservoir.
Mostefai Mohamed Lamine +2 more
doaj +1 more source
Some convergence results for nonlinear Baskakov-Durrmeyer operators
Karpatsʹkì Matematičnì Publìkacìï, 2023 This paper is an introduction to a sequence of nonlinear Baskakov-Durrmeyer operators $(NBD_{n})$ of the form \[ (NBD_{n})(f;x) =\int_{0}^\infty K_{n}(x,t,f(t))\,dt \] with $x\in [0,\infty)$ and $n\in\mathbb{N}$.
H.E. Altin
doaj +1 more source
Nonlinear filtering with transfer operator [PDF]
2013 American Control Conference, 2013 This paper presents a new nonlinear filtering algorithm that is shown to outperform state-of-the-art particle filters with resampling. Starting from the Itˆo stochastic differential equation, the proposed algorithm harnesses Karhunen- Lo'eve expansion to derive an approximate non-autonomous dynamical system, for which transfer operator based density ...
Dutta, Parikshit +2 more
openaire +1 more source
On the Development of Nonlinear Operator Theory [PDF]
Functional Analysis and Its Applications, 2020 Приведены основные результаты для нелинейных операторов. Эти результаты включают нелинейные версии классических теорем: теоремы о равномерной ограниченности и теоремы Хана-Банаха. Кроме того, показано, что отображения метризуемого пространства в нормированное пространство могут лежать в некоторых нормированных пространствах при подходящем определении ...
openaire +2 more sources
Model-Free Geometric Fault Detection and Isolation for Nonlinear Systems Using Koopman Operator
IEEE Access, 2022 This paper presents a model-free fault detection and isolation (FDI) method for nonlinear dynamical systems using Koopman operator theory and linear geometric technique.
Mohammadhosein Bakhtiaridoust +3 more
doaj +1 more source
Study on a class of Schrödinger elliptic system involving a nonlinear operator
Nonlinear Analysis, 2020 This paper considers a class of Schrödinger elliptic system involving a nonlinear operator. Firstly, under the simple condition on and ', we prove the existence of the entire positive bounded radial solutions.
Guotao Wang +3 more
doaj +1 more source
Improving the ensemble transform Kalman filter using a second-order Taylor approximation of the nonlinear observation operator [PDF]
Nonlinear Processes in Geophysics, 2014 The ensemble transform Kalman filter (ETKF) assimilation scheme has recently seen rapid development and wide application. As a specific implementation of the ensemble Kalman filter (EnKF), the ETKF is computationally more efficient than the conventional ...
G. Wu +6 more
doaj +1 more source