Results 41 to 50 of about 231 (170)

A regularized projection method for complementarity problems with non-Lipschitzian functions [PDF]

Mathematics of Computation, 2007
We consider complementarity problems involving functions which are not Lipschitz continuous at the origin. Such problems arise from the numerical solution for differential equations with non-Lipschitzian continuity, e.g. reaction and diffusion problems. We propose a regularized projection method to find an approximate solution with an estimation of the
Götz Alefeld, Xiaojun Chen 0001
openaire   +1 more source

Novel Ostrowski–Type Inequalities for Generalized Fractional Integrals and Diverse Function Classes

Fractal and Fractional
In this work, novel Ostrowski-type inequalities for dissimilar function classes and generalized fractional integrals (FITs) are presented. We provide a useful identity for differentiable functions under FITs, which results in special expressions for ...
Areej A. Almoneef, Abd-Allah Hyder, Mohamed A. Barakat, Hüseyin Budak   +3 more
doaj   +1 more source

Tropical analysis: With an application to indivisible goods

Theoretical Economics, Volume 20, Issue 3, Page 815-829, July 2025.
We establish the subgradient theorem for monotone correspondences: a monotone correspondence is equal to the subdifferential of a potential if and only if it is conservative, i.e., its integral along a closed path vanishes irrespective of the selection from the correspondence along the path.
Nicholas C. Bedard, Jacob K. Goeree
wiley   +1 more source

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

Further Application of H-Differentiability to Generalized Complementarity Problems Based on Generalized Fisher-Burmeister Functions

Abstract and Applied Analysis, 2014
We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) where f and g are H-differentiable.
Wei-Zhe Gu, Mohamed A. Tawhid
doaj   +1 more source

Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3496-3508, February 2025.
In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.
Saliha Demirbüken, Coşkun Yakar
wiley   +1 more source

Fréchet differentiability of regular locally Lipschitzian functions

Journal of Mathematical Analysis and Applications, 1991
Locally Lipschitzian regular (i.e. the one sided directional derivative exists and equals the generalized directional derivative) real-valued functions defined on open subsets of separable Banach spaces are considered. For any such function it is shown that Clarke's generalized gradient is a minimal, convex and compact valued upper semicontinuous multi-
Gieraltowska-Kedzierska, Maria, Van Vleck, F.S   +1 more
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On the Nemytskii Operator in the Space of Functions of Bounded (p, 2, α)-Variation with Respect to the Weight Function

Demonstratio Mathematica, 2014
In this paper, we consider the Nemytskii operator (Hf)(t) = h(t, f(t)), generated by a given function h. It is shown that if H is globally Lipschitzian and maps the space of functions of bounded (p,2,α)-variation (with respect to a weight function α ...
Aziz Wadie
doaj   +1 more source

Fractional Newton‐type integral inequalities by means of various function classes

Mathematical Methods in the Applied Sciences, Volume 48, Issue 1, Page 1198-1215, 15 January 2025.
The authors of the paper present a method to examine some Newton‐type inequalities for various function classes using Riemann‐Liouville fractional integrals. Namely, some fractional Newton‐type inequalities are established by using convex functions.
Fatih Hezenci, Hüseyin Budak
wiley   +1 more source