Results 61 to 70 of about 6,536,345 (211)

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions

open access: yes, 2020
In this paper we prove that for an arbitrary pair {T1, T0} of contractions on Hilbert space with trace class difference, there exists a function ξ in L1(T) (called a spectral shift function for the pair {T1, T0}) such that the trace formula trace(f(T1) −
Neidhardt H., Peller V.V., Malamud M.M.
core   +2 more sources

Local Convergence of the Gauss–Newton–Broyden Method for Solving Nonlinear Least Squares Problems

open access: yesAxioms
The Gauss–Newton–Broyden method is proposed and investigated for solving a nonlinear least squares problem with operator decomposition. This method is obtained from the Gauss–Newton method by replacing the Jacobian matrix of a nonlinear operator with the
Stepan Shakhno, Halyna Yarmola
doaj   +1 more source

Convergence Criteria of a Three-Step Scheme under the Generalized Lipschitz Condition in Banach Spaces

open access: yesMathematics, 2022
In the given study, we investigate the three-step NTS’s ball convergence for solving nonlinear operator equations with a convergence order of five in a Banach setting.
Akanksha Saxena   +3 more
doaj   +1 more source

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar   +3 more
wiley   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

open access: yesMathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Inequalities for Green’s operator with Lipschitz and BMO norms

open access: yes, 2009
In this paper, we obtain Lipschitz norm and BMO norm inequalities for Green’s operator applied to differential forms.
Xing, Yuming, Ding, Shusen
core   +1 more source

An All‐At‐Once Solver for Visco‐Acoustic Full Waveform Inversion in the Time‐Domain

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Full waveform inversion (FWI) is the cutting‐edge seismic imaging technique used to reconstruct subsurface material properties such as wave velocities, mass density, and attenuation from measurements of reflected wavefields. In this article, we present the first implementation of FWI in the visco‐acoustic regime, based on a new time‐domain all‐
Christian Rheinbay, Andreas Rieder
wiley   +1 more source

Dunkl generalization of q-Szász-Mirakjan Kantorovich operators which preserve some test functions

open access: yesJournal of Inequalities and Applications, 2016
In this paper we introduce q-Szász-Mirakjan-Kantorovich operators generated by a Dunkl generalization of the exponential function and we propose two different modifications of the q-Szász-Mirakjan-Kantorovich operators which preserve some test functions.
Mohammad Mursaleen   +2 more
doaj   +1 more source

Weakly Convex Ridge Regularization for 3D Non‐Cartesian MRI Reconstruction

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose While highly accelerated non‐Cartesian acquisition protocols significantly reduce scan time, they often entail long reconstruction delays for 3D data. Deep learning–based reconstruction methods can alleviate this, but typically rely on complex, highly parametrized architectures.
German Shâma Wache   +3 more
wiley   +1 more source

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