Results 71 to 80 of about 92,639 (261)

Existence and uniqueness of solution for Sturm–Liouville fractional differential equation with multi-point boundary condition via Caputo derivative

Advances in Difference Equations, 2019
We investigate the existence and uniqueness of a solution for a Sturm–Liouville fractional differential equation with a multi-point boundary condition via the Caputo derivative; existence and uniqueness results for the given problem are obtained via the ...
Ahmed M. A. El-Sayed, Fatma M. Gaafar
doaj   +1 more source

Linear, second-order problems with Sturm-Liouville-type multi-point boundary conditions

Electronic Journal of Differential Equations, 2011
We consider the linear eigenvalue problem \tag{1} -u" = λu, \quad \text{on $(-1,1)$}, where $λ\in \mathbb{R}$, together with the general multi-point boundary conditions \tag{2} α_0^\pm u(\pm 1) + β_0^\pm u'(\pm 1) = \sum^{m^\pm}_{i=1} α^\pm_i u(η^\pm_i) + \sum_{i=1}^{m^\pm} β^\pm_i u'(η^\pm_i). We also suppose that: α_0^\pm \ge 0, \quad α_0^\pm + |β_0^\
openaire   +4 more sources

Directed evolution of enzymes at the crossroads of tradition and innovation

FEBS Open Bio, EarlyView.
An iterative cycle of data‐driven enzyme optimization comprising four stages: genetic diversification of a template enzyme, expression of protein variants, high‐throughput evaluation, and machine‐learning‐guided redesign of the next variant library.
Maria Tomkova, Andrej Mirossay, Erik Sedlak   +2 more
wiley   +1 more source

MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis

FEBS Open Bio, EarlyView.
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss, Ao Li, Eduardo H. Gilglioni, Mayank Bansal, Sumeet Pal Singh, Latifa Bakiri, Alessandra K. Cardozo, Esteban N. Gurzov   +7 more
wiley   +1 more source

Boundary-Aware Multi-Point Preview Control: An Algorithm for Autonomous Articulated Mining Vehicles Operating in Highly Constrained Underground Spaces

Algorithms
To achieve the automation and intelligence of mining equipment, it is essential to address the challenge of autonomous driving, with the core task being how to navigate safely from the starting point to the mining area endpoint.
Shuo Huang, Yiting Kang, Jue Yang, Xiao Lv, Ming Zhu   +4 more
doaj   +1 more source

Existence of positive solutions for a singular fractional boundary value problem

Nonlinear Analysis, 2017
We study the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a sign-changing nonlinearity, subject to multi-point fractional boundary conditions.
Johnny Henderson, Rodica Luca
doaj   +1 more source

Intelligent Tutoring Systems for Adult Learning in STEM Disciplines

New Directions for Adult and Continuing Education, EarlyView.
ABSTRACT Intelligent tutoring systems (ITS) are reshaping adult learning in STEM by providing adaptive, data‐driven instruction across classrooms, workplaces, and informal environments. In the context of ITS, this article compares generative AI, which creates personalized explanations and practice materials, with explainable AI, which focuses on ...
Jill Zarestky, Amanda R. Lager Gleason
wiley   +1 more source

On some fractional integro-differential inclusions with nonlocal multi-point boundary conditions [PDF]

Fractional Differential Calculus, 2019
Summary: Existence of solutions for two classes of fractional integro-differential inclusions with nonlocal multi-point boundary conditions is investigated in the case when the values of the set-valued map are not convex.
openaire   +1 more source

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende, Emilien Petit, Young Woo Park, Sophie Tezenas du Montcel, James M. Joers, Jonathan M. DuBois, H. Moore Arnold, Michal Povazan, Ipek Özdemir, Guita Banan, Romain Valabregue, Philipp Ehses, Jennifer Faber, Chiadi U. Onyike, Peter B. Barker, Jeremy D. Schmahmann, Eva‐Maria Ratai, Sub H. Subramony, Thomas H. Mareci, Khalaf O. Bushara, Henry Paulson, Thomas Klockgether, Alexandra Durr, Tetsuo Ashizawa, Christophe Lenglet, Gülin Öz, READISCA Investigators   +26 more
wiley   +1 more source

Positive solutions of second order multi-point boundary value problems with non-homogeneous boundary conditions [PDF]

Differential Equations & Applications, 2010
We are interested in the existence of positive solutions to multi-point boundary value problems for second order nonlinear differential equations with non-homogeneous boundary conditions. We show that results for the multi-point problems can be proved much in a similar way by methods available for the three point problem.
openaire   +1 more source