Results 91 to 100 of about 12,578 (196)

On the Stability Problem of Differential Equations in the Sense of Ulam

Results in Mathematics, 2019
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Yasemin Başcı, Adil Mısır, Süleyman Öğrekçi   +2 more
openaire   +5 more sources

Beyond Conventional Cooling: Advanced Micro/Nanostructures for Managing Extreme Heat Flux

Advanced Materials, Volume 38, Issue 5, 22 January 2026.
This review examines the design, application, and manufacturing of biomimetic or engineered micro/nanostructures for managing high heat‐flux in multi‐level electronics by enhancing conductive, convective, phase‐changing, and radiative heat transfer mechanisms, highlighting their potential for efficient, targeted thermal management, and future prospects.
Yuankun Zhang, Huajie Li, Yuhang Zhou, Jun Ma, Keng‐Te Lin, Han Lin, Chunsheng Guo, Baohua Jia   +7 more
wiley   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Study on existence and stability analysis for implicit neutral fractional differential equations of ABC derivative

Partial Differential Equations in Applied Mathematics
In this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya, R. Nirmalkumar, K. Loganathan, C. Selvamani   +3 more
doaj   +1 more source

Randomly sparsified Richardson iteration: A dimension‐independent sparse linear solver

Communications on Pure and Applied Mathematics, Volume 79, Issue 1, Page 89-122, January 2026.
Abstract Recently, a class of algorithms combining classical fixed‐point iterations with repeated random sparsification of approximate solution vectors has been successfully applied to eigenproblems with matrices as large as 10108×10108$10^{108} \times 10^{108}$. So far, a complete mathematical explanation for this success has proven elusive.
Jonathan Weare, Robert J. Webber
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

Local Borsuk-Ulam, Stability, and Replicability

Proceedings of the 56th Annual ACM Symposium on Theory of Computing
We use and adapt the Borsuk-Ulam Theorem from topology to derive limitations on list-replicable and globally stable learning algorithms. We further demonstrate the applicability of our methods in combinatorics and topology. We show that, besides trivial cases, both list-replicable and globally stable learning are impossible in the agnostic PAC setting.
Zachary Chase 0001, Bogdan Chornomaz, Shay Moran, Amir Yehudayoff   +3 more
openaire   +3 more sources

Waiting for the rains: An attempt to evaluate the efficiency of the large Roman cistern at Barbariga Stancija (Casematte, Istria, Croatia)

Journal of Quaternary Science, Volume 41, Issue 1, Page 99-117, January 2026.
ABSTRACT Access to freshwater has always been a critical factor in sustaining human settlements, especially in regions with limited water resources. In the Mediterranean region, where dry summers and karst landscapes limit water availability, ancient societies developed advanced methods for collecting and storing rainwater. Among these, cisterns played
Fabian Welc, Agata Han, Krzysztof Markowicz, Davor Bulić, Robert Matijašić, Candace M. Rice, Ana Konestra, Andrew McLean   +7 more
wiley   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

Fixed Points and Generalized Hyers‐Ulam Stability

Abstract and Applied Analysis, 2012
In this paper we prove a fixed‐point theorem for a class of operators with suitable properties, in very general conditions. Also, we show that some recent fixed‐points results in Brzdęk et al., (2011) and Brzdęk and Ciepliński (2011) can be obtained directly from our theorem. Moreover, an affirmative answer to the open problem of Brzdęk and Ciepliński
Cădariu, L., Găvruţa, L., Găvruţa, P.   +2 more
openaire   +3 more sources