Results 41 to 50 of about 1,759 (215)

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

open access: yesMathematische Nachrichten, EarlyView.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler   +2 more
wiley   +1 more source

The Dirichlet problem for discontinuous perturbations of the mean curvature operator in Minkowski space

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2015
Using the critical point theory for convex, lower semicontinuous perturbations of locally Lipschitz functionals, we prove the solvability of the discontinuous Dirichlet problem involving the operator $u\mapsto\mbox{div} \Big(\frac{\nabla u}{\sqrt{1 ...
C. Bereanu   +2 more
doaj   +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

Novel Bernstein‐Kantorovich Type Operators

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as Kβn,θ$$ {K}_{\beta}^{n,\theta } $$, parameterized by 0<β<1$$ 0<\beta <1 $$ and θ>0$$ \theta >0 $$. We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for Kβn,θ(tm;x)$$ {K}_{\
Pembe Sabancigil, Nazim I. Mahmudov
wiley   +1 more source

Infinitely Many Solutions for a Class of Fractional Boundary Value Problems with Nonsmooth Potential

open access: yesAbstract and Applied Analysis, 2013
We establish the existence of infinitely many solutions for a class of fractional boundary value problems with nonsmooth potential. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
Kaimin Teng
doaj   +1 more source

A Multiplicity Theorem for Locally Lipschitz Periodic Functionals

open access: yesJournal of Mathematical Analysis and Applications, 1995
The authors consider the periodic multivalued problem of the forced pendulum \[ \begin{cases} x''(t) + f(t)\in \biggl[\underline g\bigl(x(t) \bigr), \overline g \bigl(x(t) \bigr)\biggr], \quad \text{a.e. } t\in(0,1) \\ x(0) = x(1),\;x'(0) = x'(1) \end{cases} \] where \(f\in L^p(0,1)\), \(g\in L^\infty (\mathbb{R})\) is periodic of period \(T\), the ...
Mironescu, P., Radulescu, V.D.
openaire   +1 more source

Suboptimal Model Predictive Control With a Computation Governor: Stability, Recursive Feasibility, and Applications to Alternating Direction Method of Multipliers

open access: yesOptimal Control Applications and Methods, EarlyView.
Computational governor is shown which simultaneously adjusts the reference and adjusts the constraints. ABSTRACT The paper considers a computational governor strategy to facilitate the implementation of Model Predictive Control (MPC) based on inexact optimization when the time available to compute the solution may be insufficient.
Steven van Leeuwen, Ilya Kolmanovsky
wiley   +1 more source

Three Solutions for Inequalities Dirichlet Problem Driven by p(x)-Laplacian-Like

open access: yesAbstract and Applied Analysis, 2013
A class of nonlinear elliptic problems driven by p(x)-Laplacian-like with a nonsmooth locally Lipschitz potential was considered. Applying the version of a nonsmooth three-critical-point theorem, existence of three solutions of the problem is proved.
Zhou Qing-Mei, Ge Bin
doaj   +1 more source

Exact Robust Filtering and Differentiation Based on Sliding Modes and Homogeneity

open access: yesInternational Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This article addresses the problem of online estimation of the derivatives of a signal corrupted by measurement noise. The measured signal is modeled as the sum of a smooth nominal component and a uniformly bounded noise term. A key objective is to attenuate the effect of high‐frequency noise.
Jaime A. Moreno, Arie Levant
wiley   +1 more source

Multiple solutions to a class of inclusion problems with operator involving p(x)-Laplacian

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper, we prove the existence of at least two nontrivial solutions for a nonlinear elliptic problem involving p(x)-Laplacian-like operator and nonsmooth potentials.
Qing-Mei Zhou
doaj   +1 more source

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