Results 51 to 60 of about 159,062 (288)

Nonlinear Sturm-Liouville problems for systems of ordinary differential equations [PDF]

Topological Methods in Nonlinear Analysis, 1995
The author uses coincidence degree ideas to establish the existence (and sometimes uniqueness) for two point boundary value problems for certain systems of ordinary differential equations.
openaire   +2 more sources

Discovery and Targeted Proteomic Studies Reveal Striatal Markers Validated for Huntington's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Clinical trials for Huntington's disease (HD) enrolling persons before clinical motor diagnosis (CMD) lack validated biomarkers. This study aimed to conduct an unbiased discovery analysis and a targeted examination of proteomic biomarkers scrutinized by clinical validation. Methods Cerebrospinal fluid was obtained from PREDICT‐HD and
Daniel Chelsky, Cara Joyce, H. Jeremy Bockholt, Paul A. Rudnick, William H. Adams, Fiona McAllister, Justin W. Smock, Michael A. Newton, Jane S. Paulsen   +8 more
wiley   +1 more source

Analytic and Asymptotic Methods for Nonlinear Singularity Analysis: a Review and Extensions of Tests for the Painlev\'e Property

, 1997
The integrability (solvability via an associated single-valued linear problem) of a differential equation is closely related to the singularity structure of its solutions.
A. C. Newell, A. Fordy, A. Ramani, A. Ramani, B. Gambier, C. M. Cosgrove, C.M. Bender, C.S. Gardner, D.K. Ludlow, E.A. Coddington, E.L. Ince, F.J. Bureau, F.W.J. Olver, G. Halphen, H. Yoshida, J. Chazy, J. Chazy, J. Weiss, J.B. McLeod, L. Hlavatý, L.J. Mason, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.D. Kruskal, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, M.J. Ablowitz, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, N. Joshi, P. Boutroux, P. Painlevé, P. Painlevé, P. Painlevé, P. Painlevé, P.A. Clarkson, R. Conte, R. Fuchs, R. Grimshaw, S. Kichenassamy, S. Kichenassamy, S. Kowalevski, S. Kowalevski, S. Ziglin, S. Ziglin, T. Bountis, V.I. Arnold, Z. Nehari   +53 more
core   +1 more source

Unraveling the Molecular Mechanisms of Glioma Recurrence: A Study Integrating Single‐Cell and Spatial Transcriptomics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Glioma recurrence severely impacts patient prognosis, with current treatments showing limited efficacy. Traditional methods struggle to analyze recurrence mechanisms due to challenges in assessing tumor heterogeneity, spatial dynamics, and gene networks.
Lei Qiu, Yinjiao Fei, Jiaxuan Ding, Kexin Shi, Jinyan Luo, Yuchen Zhu, Xingjian Sun, Gefei Jiang, Yuandong Cao, Weilin Xu, Shu Zhou   +10 more
wiley   +1 more source

A SIMPLE JUSTIFICATION OF TANH METHOD FOR DISCRETE SOLITARY WAVE SOLUTIONS

Jurnal Lebesgue
The tanh method is known as an effective method for solving partial differential equations and obtaining traveling wave solutions. While well-used in continuous systems, its application to discrete systems (nonlinear difference-differential equations ...
Ahmad Syarif, Mahdhivan Syafwan, Admi Nazra   +2 more
doaj   +1 more source

Construction of Special Solutions for Nonintegrable Systems

, 2006
The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J, Antonov V A, Barrow J D, Chang Y F, Chang Y F, Conte R, Conte R, Conte R, Davenport J H, DeWolfe O, Fan E, Golubev V V, Gremm M, Grimshaw R, Hone A N W, Hénon M, Kokubun F, Kowalevski S, Melkonian S, Murray C D, Musette M, Podolský Ji, Porubov A V, Santos G S, Timoshkova E I, Verhoeven C, Verhoeven C, Vernov S Yu, Weiss J, Weiss J, Yomba E   +30 more
core   +1 more source

Fluid Biomarkers of Disease Burden and Cognitive Dysfunction in Progressive Supranuclear Palsy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Identifying objective biomarkers for progressive supranuclear palsy (PSP) is crucial to improving diagnosis and establishing clinical trial and treatment endpoints. This study evaluated fluid biomarkers in PSP versus controls and their associations with regional 18F‐PI‐2620 tau‐PET, clinical, and cognitive outcomes.
Roxane Dilcher, Charles B. Malpas, Stuart J. McDonald, William T. O’Brien, Craig Despott, Kelly L. Bertram, Matthew P. Pase, Lukas Frontzkowski, Meng Law, Terence J. O’Brien, Lucy Vivash   +10 more
wiley   +1 more source

The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

Partial Differential Equations in Applied Mathematics, 2023
Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
doaj   +1 more source

Use of a Molecular Signature Response Classifier to Inform Treatment Selection Improves Clinical Disease Activity Among Patients with Rheumatoid Arthritis Initiating a Biologic or Targeted Synthetic Disease‐Modifying Antirheumatic Drug

Arthritis Care &Research, EarlyView.
Objective We assessed the effectiveness of PrismRA to improve clinical outcomes among patients with rheumatoid arthritis (RA) initiating treatment with a biologic or targeted synthetic disease‐modifying antirheumatic drug (b/tsDMARD). Methods PrismRA incorporated 19 gene expression features and four clinical features to assess a patient's likelihood of
Fenglong Xie, Timothy Beukelman, Nicholas P. McCormick, Jeffrey R. Curtis   +3 more
wiley   +1 more source

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source