Results 101 to 110 of about 133,611 (249)

Matsumura‐Type Estimates and Global Solutions of a Fractional Wave Equation With Nonlocal Nonlinearity

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley   +1 more source

Are the Barriers that Inhibit Mathematical Models of a Cyclic Universe, which Admits Broken Symmetries, Dark Energy, and an Expanding Multiverse, Illusory? [PDF]

We argue the thesis that if (1) a physical process is mathematically representable by a Cauchy sequence; and (2) we accept that there can be no infinite processes, i.e., nothing corresponding to infinite sequences, in natural phenomena; then (a) in the ...
Anand, Bhupinder Singh
core  

On Half Cauchy Sequences

, 2011
In this note we introduce and define half Cauchy sequences. We prove that a sequence of real numbers is convergent if and only if it is bounded and half Cauchy. We also provide an example of how the concept may be used.
openaire   +2 more sources

Hölder Regularity of the Solutions of Fredholm Integral Equations on Upper Ahlfors Regular Sets

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We extend to the context of metric measured spaces, with a measure that satisfies upper Ahlfors growth conditions, the validity of (generalized) Hölder continuity results for the solution of a Fredholm integral equation of the second kind. Here we note that upper Ahlfors growth conditions include also cases of nondoubling measures.
Massimo Lanza de Cristoforis, Manuel Norman   +1 more
wiley   +1 more source

A Study on -Quasi-Cauchy Sequences

Abstract and Applied Analysis, 2013
Recently, the concept of -ward continuity was introduced and studied. In this paper, we prove that the uniform limit of -ward continuous functions is -ward continuous, and the set of all -ward continuous functions is a closed subset of the set of all ...
Hüseyin Çakalli, Huseyin Kaplan
doaj   +1 more source

Maps that preserve left (right) $K$-Cauchy sequences

Hacettepe Journal of Mathematics and Statistics, 2021
Summary: It is well-known that on quasi-pseudometric space \((X,q)\), every \(q^s\)-Cauchy sequence is left (or right) \(K\)-Cauchy sequence but the converse does not hold in general. In this article, we study a class of maps that preserve left (right) \(K\)-Cauchy sequences that we call left (right) \(K\)-Cauchy sequentially-regular maps. Moreover, we
openaire   +3 more sources

Elastoplasticity Informed Kolmogorov–Arnold Networks Using Chebyshev Polynomials

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Multilayer perceptron (MLP) networks are predominantly used to develop data‐driven constitutive models for granular materials. They offer a compelling alternative to traditional physics‐based constitutive models in predicting non‐linear responses of these materials, for example, elastoplasticity, under various loading conditions. To attain the
Farinaz Mostajeran, Salah A. Faroughi
wiley   +1 more source

On quasi-Cauchy sequences

, 2010
This paper is withdrawn because the results in the paper are included in a paper to be published in Mathematical and Computer Modelling.
openaire   +2 more sources

Pointwise convergence of Cauchy sequences

Rocky Mountain Journal of Mathematics, 1987
If G is a normed space whose elements are real-valued functions on a set X it is sometimes interesting or even important to know whether the completion of G can also be realized as a space of real-valued functions on X. \textit{J. W. Brace} and \textit{J. D. Thomison} used in Ill. J. Math. 22, 581-602 (1978; Zbl 0384.46016) and in Ill. J. Math.
openaire   +2 more sources

Synthesizing Interacting Model‐Based Optimal Control and Model‐Free Learning Approaches for Nonlinear Systems

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this paper, we consider the optimal control problem for an unknown continuous‐time nonlinear system, and present a framework that integrates model‐based and model‐free methods to solve it. Each approach offers distinct advantages: model‐based techniques provide offline synthesis and data efficiency, while model‐free procedures excel at ...
Surabhi Athalye, Kyriakos G. Vamvoudakis, Panos J. Antsaklis   +2 more
wiley   +1 more source