Results 91 to 100 of about 3,355,987 (326)

Polyanalytic Hardy decomposition of higher order Lipschitz functions

open access: yes, 2020
This paper is concerned with the problem of decomposing a higher order Lipschitz function on a closed Jordan curve $\Gamma$ into a sum of two polyanalytic functions in each open domain defined by $\Gamma$.
Blaya, Ricardo Abreu   +1 more
core  

Safe global optimization of expensive noisy black-box functions in the $δ$-Lipschitz framework [PDF]

open access: yesSoft Computing - A Fusion of Foundations, Methodologies and Applications, 2019
In this paper, the problem of safe global maximization (it should not be confused with robust optimization) of expensive noisy black-box functions satisfying the Lipschitz condition is considered.
Y. Sergeyev   +3 more
semanticscholar   +1 more source

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

Entropy solutions of exterior problems for nonlinear degenerate parabolic equations with nonhomogeneous boundary condition

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we consider the exterior problem for the nonlinear degenerate parabolic equation $$ u_t - \Delta b(u) + \nabla \cdot \Phi(u) = F(u), \quad (t,x) \in (0,T) \times \Omega, $$ $\Omega$ is the exterior domain of $\Omega_0$ (a closed ...
Li Zhang, Ning Su
doaj  

Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain

open access: yesBoundary Value Problems, 2017
In this paper, we address an inverse problem for the Korteweg-de Vries equation posed on a bounded domain with boundary conditions proposed by Colin and Ghidaglia.
Mo Chen
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

Advances in the Semilocal Convergence of Newton’s Method with Real-World Applications

open access: yesMathematics, 2019
The aim of this paper is to present a new semi-local convergence analysis for Newton’s method in a Banach space setting. The novelty of this paper is that by using more precise Lipschitz constants than in earlier studies and our new idea of ...
Ioannis K. Argyros   +3 more
doaj   +1 more source

Neumann functions for second order elliptic systems with measurable coefficients

open access: yes, 2012
We study Neumann functions for divergence form, second order elliptic systems with bounded measurable coefficients in a bounded Lipschitz domain or a Lipschitz graph domain.
Choi, Jongkeun, Kim, Seick
core   +1 more source

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