Results 51 to 60 of about 72,789 (297)

A LIPSCHITZ METRIC FOR THE CAMASSA–HOLM EQUATION

Forum of Mathematics, Sigma, 2020
We analyze stability of conservative solutions of the Cauchy problem on the line for the Camassa–Holm (CH) equation. Generically, the solutions of the CH equation develop singularities with steep gradients while preserving continuity of the solution ...
JOSÉ A. CARRILLO, KATRIN GRUNERT, HELGE HOLDEN   +2 more
doaj   +1 more source

A Note on Sobolev‐Lorentz Capacity and Hausdorff Measure

Mathematische Nachrichten, EarlyView.
ABSTRACT In this paper, we give an elementary proof that sets of zero p,1$p,1$‐Sobolev‐Lorentz capacity are Hn−p$\mathcal {H}^{n-p}$‐null sets, independently of nonlinear potential theory. We further show that there exists a set of Sobolev‐Lorentz‐(p,1)$(p,1)$ capacity equal to zero with Hausdorff dimension equal n−p$n-p$.
Daniel Campbell
wiley   +1 more source

Using wavelets for Szász-type operators

Journal of Numerical Analysis and Approximation Theory, 1995
Szász-Mirakjan operators extend the classical Bernstein operators and are useful tools for approximating continuous functions on the infinite interval \([0, \infty)\). These operators have integral variations of Kantorovich and Durrmeyer types in order
Heinz H. Gonska, Ding-Xuan Zhou
doaj   +2 more sources

Approximation by q-analogue of modified Jakimovski-Leviatan-Stancu type operators

Demonstratio Mathematica, 2017
In this paper, we introduce the q-analogue of the Jakimovski-Leviatan type modified operators introduced by Atakut with the help of the q-Appell polynomials.We obtain some approximation results via the well-known Korovkin’s theorem for these operators.We
Mursaleen Mohammad, Nasiruzzaman Mohammad, Wafi Abdul   +2 more
doaj   +1 more source

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

Mathematical 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, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Regularity of Generalized Mean-Field G-SDEs

Mathematics
We study the regularity properties of the unique solution of a generalized mean-field G-SDE. More precisely, we consider a generalized mean-field G-SDE with a square-integrable random initial condition, establish its first- and second-order Fréchet ...
Karl-Wilhelm Georg Bollweg, Thilo Meyer-Brandis   +1 more
doaj   +1 more source

Approximation by Szász-Jakimovski-Leviatan-Type Operators via Aid of Appell Polynomials

Journal of Function Spaces, 2020
The main purpose of the present article is to construct a newly Szász-Jakimovski-Leviatan-type positive linear operators in the Dunkl analogue by the aid of Appell polynomials.
Md. Nasiruzzaman, A. F. Aljohani
doaj   +1 more source

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

Mathematical 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, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

On the continuity of the state constrained minimal time function

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We obtain results on the propagation of the (Lipschitz) continuity of the minimal time function associated with a finite dimensional autonomous differential inclusion with state constraints and a closed target. To this end, we first obtain new regularity
Ovidiu Carja, Alina Lazu
doaj   +1 more source

Continuity and Lipschitz constants for projections

The Journal of Logic and Algebraic Programming, 2010
Constructive proofs of some results from best approximation theory and properties of metric projections are given. For example, let \(Y\) be a locally compact subset of a complete metric space \(X\) such that each \(x \in X\) has a unique best approximation in \(Y\). Then the projection of \(X\) onto \(Y\) is sequentially continuous.
openaire   +1 more source