Results 51 to 60 of about 342,447 (287)

Inverse Spectral Problems for Weighted Graphs

Mohyla Mathematical Journal, 2022
The paper is devoted to inverse spectral problems for weighted graphs. We give the sharp upper bound for spectral reconstruction number of trees and unicyclic graphs.
Pylypiva, Oleksandra, Tymoshkevych, Larysa   +1 more
openaire   +2 more sources

Equations of the reaction-diffusion type with a loop algebra structure

, 1997
A system of equations of the reaction-diffusion type is studied in the framework of both the direct and the inverse prolongation structure. We find that this system allows an incomplete prolongation Lie algebra, which is used to find the spectral problem
Alfinito, E., Grassi, V., Leo, R. A., Profilo, G., Soliani, G.   +4 more
core   +1 more source

Prodromal Lewy Body Disorder Features in REM Sleep Behavior Disorder With Biomarker‐Defined Synucleinopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Isolated rapid eye movement sleep behavior disorder (iRBD) is a prodromal state for Lewy body disorders and exhibits biological heterogeneity that may influence clinical expression and progression. We examined clinical features in individuals with iRBD and biomarker‐defined synucleinopathy.
Daniel Weintraub, Michele K. York, Roseanne Dobkin, Anuprita R. Nair, Ryan Kurth, David‐Erick Lafontant, Chelsea Caspell‐Garcia, Roy N. Alcalay, Ethan G. Brown, Lana M. Chahine, Christopher Coffey, Tatiana Foroud, Douglas Galasko, Karl Kieburtz, Kenneth Marek, Kalpana Merchant, Brit Mollenhauer, Kathleen L. Poston, Andrew Siderowf, Cristina Simonet, Tanya Simuni, Caroline M. Tanner, Thomas F. Tropea, Aleksandar Videnovic, The Parkinson's Progression Markers Initiative   +24 more
wiley   +1 more source

Etudes for the inverse spectral problem

Journal of the London Mathematical Society, 2023
AbstractIn this note, we study inverse spectral problems for canonical Hamiltonian systems, which encompass a broad class of second‐order differential equations on a half‐line. Our goal is to extend the classical results developed in the work of Marchenko, Gelfand–Levitan, and Krein to broader classes of canonical systems and to illustrate the solution
Makarov, Nikolai G., Poltoratski, Alexei
openaire   +4 more sources

Additive Manufacturing of Continuous Fibre Reinforced Composites: Process, Characterisation, Modelling, and Sustainability

Advanced Engineering Materials, EarlyView.
Additive manufacturing provides precise control over the placement of continuous fibres within polymer matrices, enabling customised mechanical performance in composite components. This article explores processing strategies, mechanical testing, and modelling approaches for additive manufactured continuous fibre‐reinforced composites.
Cherian Thomas, Amir Hosein Sakhaei
wiley   +1 more source

Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions

Open Physics, 2015
In this paper, the AKNS isospectral problem and its corresponding time evolution are generalized by embedding three coefficient functions. Starting from the generalizedAKNS isospectral problem, a mixed spectralAKNS hierarchy with variable coefficients is
Zhang Sheng, Gao Xu-Dong
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Inverse spectral problems for certain differential operators [PDF]

Pacific Journal of Mathematics, 1984
Soit L o un operateur differentiel donne a matrice spectrale (ρ ij o ); soit une mesure matricielle positive (ρ ij ). On donne la technique pour construite L a partir de (ρ ij ) et (ρ ij o )
openaire   +3 more sources

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Inverse Non-Uniqueness of Vibration System With Frozen Arguments and Certain Partial Information

Journal of Function Spaces
In this paper, we investigate the inverse spectral problem of the Sturm–Liouville operator with two frozen arguments fixed at the points x=a1,a2 in 0,π. We will discuss the non-uniqueness with certain prior information provided on the potential function ...
Lung-Hui Chen
doaj   +1 more source