Results 51 to 60 of about 72,220 (275)

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

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

Courcelle's Theorem for Lipschitz Continuity

Lipschitz continuity of algorithms, introduced by Kumabe and Yoshida (FOCS'23), measures the stability of an algorithm against small input perturbations. Algorithms with small Lipschitz continuity are desirable, as they ensure reliable decision-making and reproducible scientific research.
Gima, Tatsuya, Kumabe, Soh, Yoshida, Yuichi   +2 more
openaire   +3 more sources

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

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical 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

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

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

Locally Lipschitz continuous integrated semigroups [PDF]

Studia Mathematica, 2005
\textit{H. Kellerman} and \textit{M. Hieber} [J. Funct. Anal. 84, No. 1, 160--180 (1989; Zbl 0689.47014)] proved that every locally Lipschitz continuous once integrated semigroup is always exponentially Lipschitz continuous. In this paper, the author gives an example of a generator of locally Lipschitz continuous twice integrated semigroup which does ...
openaire   +1 more source

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source