Results 51 to 60 of about 12,578 (196)

Energy‐Associated Splitting Schemes for Closed Nonlinear Port‐Hamiltonian Systems

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We present splitting methods for port‐Hamiltonian (pH) systems, focusing on the preservation of their internal structure, in particular, the dissipation inequality. Classical high‐order splitting schemes possess negative step sizes, which might cause instabilities and the violation of the dissipation inequality.
Marius Mönch, Nicole Marheineke
wiley   +1 more source

Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions

Journal of Function Spaces, 2014
We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in order that the operator has the Hyers-Ulam stability and also show that the best constant of Hyers ...
Chun Wang, Tian-Zhou Xu
doaj   +1 more source

On the Hyers-Ulam Stability of Linear Mappings

Journal of Mathematical Analysis and Applications, 1993
Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Rassias, T.M., Semrl, P.
openaire   +1 more source

Encoding Cumulation to Learn Perturbative Nonlinear Oscillatory Dynamics

Advanced Science, Volume 13, Issue 25, 4 May 2026.
Weak nonlinearities critically shape the long term behavior of oscillatory systems but are difficult to identify from data. A data‐driven framework is introduced to infer governing equations of weakly nonlinear oscillators from sparse and noisy observations.
Teng Ma, Ting‐Ting Gao, Wei Cui, Attilio Frangi, Gang Yan, Lin Zhao   +5 more
wiley   +1 more source

Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses

Communications in Advanced Mathematical Sciences, 2023
This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse.
Kangarajan K., Dvivek Vivek, Elsayed Elsayed, Ravichandran Vıvek   +3 more
doaj   +1 more source

Ruelle-Perron-Frobenius spectrum for Anosov maps

, 2001
We extend a number of results from one dimensional dynamics based on spectral properties of the Ruelle-Perron-Frobenius transfer operator to Anosov diffeomorphisms on compact manifolds.
Bakhtin V I, Baladi V, Baladi V, Baladi V, Blank M, Blank M, Boothby W M, Bressaud X, Brini F, Carlangelo Liverani, Cornfeld I P, Dellnitz M, Dellnitz M, Do Carmo M P, Dunford N, Evans L E, Federer H, Froyland G, Gerhard Keller, Hasselblatt B, Hennion H, Hirsch M, Ionescu-Tulcea C T, Journé J-L, Junge O, Katok A, Keller G, Keller G, Kifer Yu, Kifer Yu, Kitaev A Yu, Liverani C, Liverani C, Mañe R, Michael Blank, Nussbaum R D, Pugh C, Rudin W, Rugh H H   +38 more
core   +1 more source

Numerical and Intelligent Modeling of MHD Casson Nanofluid Heat Transfer in Fractal Porous Cavities for Energy Systems

Engineering Reports, Volume 8, Issue 4, April 2026.
This study demonstrates that Al2O3–GNP hybrid nanofluids significantly enhance heat transfer in porous rectangular enclosures. Magnetic fields suppress velocity but raise temperature, while higher Biot and Brinkman numbers improve Nusselt number and entropy generation, highlighting effective thermal control in non‐Newtonian HNF systems.
Wajid Ullah, Muhammad Salim Khan, Zahir Shah, Aseel Smerat, Meshal Shutaywi   +4 more
wiley   +1 more source

Semi-Hyers–Ulam–Rassias Stability of the Convection Partial Differential Equation via Laplace Transform

Mathematics, 2021
In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
doaj   +1 more source

Ecosystem Impacts of the Landing Obligation for Unwanted Catch in Thermaikos Gulf (Greece)

Fisheries Management and Ecology, Volume 33, Issue 2, Page 246-259, April 2026.
ABSTRACT Discards by marine commercial fisheries have been an issue of major concern to the scientific community in recent years. We modeled the ecological and trophic consequences of a mandatory landing obligation (LO) regulated by the reformed Common Fisheries Policy [Regulation (EU) 1380/2013] on the Thermaikos Gulf ecosystem (northwestern Aegean ...
Ioannis Keramidas, Donna Dimarchopoulou, Ioanna Argyrou, Athanassios C. Tsikliras   +3 more
wiley   +1 more source

The Fermi-Pasta-Ulam problem: 50 years of progress

, 2005
A brief review of the Fermi-Pasta-Ulam (FPU) paradox is given, together with its suggested resolutions and its relation to other physical problems. We focus on the ideas and concepts that have become the core of modern nonlinear mechanics, in their ...
Arnold V. I., Arnold V. I., Arnold V. I., Benettin G., Berezin Yu. A., Berezin Yu. A., Berman G. P., Berman G. P., Berman G. P., Chirikov B. V., Dodd R. K., Fermi E., Izrailev F. M., Izrailev F. M., Izrailev F. M., Kolmogorov A. N., Kryloff N., Krylov N. S., Moser J., Nishida T., Pitaevskii L. P., Prigogine I., Sagdeev R. Z., Ulam S. M., Zabusky N. J.   +24 more
core   +1 more source