Results 111 to 120 of about 766,070 (327)

T-periodic solutions and a priori bounds

Mathematical and Computer Modelling, 2000
In view of Schaefer's theorem, in the case of a normed linear space \((B,\parallel \cdot \parallel)\) and of a continuous mapping \(H\) of \(B\) into \(B\) which is compact on each bounded subset of \(B\), we have either (i) the equation \(x=\lambda Hx\) has a solution for \(\lambda =1\) or (ii) the set of all such solutions, for ...
openaire   +3 more sources

PERIODIC SOLUTIONS AND SLOW MANIFOLDS [PDF]

International Journal of Bifurcation and Chaos, 2007
After reviewing a number of results from geometric singular perturbation theory, we give an example of a theorem for periodic solutions in a slow manifold. This is illustrated by examples involving the van der Pol-equation and a modified logistic equation.
openaire   +4 more sources

ITGAV and SMAD4 influence the progression and clinical outcome of pancreatic ductal adenocarcinoma

Molecular Oncology, EarlyView.
In SMAD4‐positive pancreatic ductal adenocarcinoma (PDAC), integrin subunit alpha V (ITGAV) activates latent TGF‐β, which binds to the TGF‐β receptor and phosphorylates SMAD2/3. The activated SMAD2/3 forms a complex with SMAD4, and together they translocate to the nucleus, modulating gene expression to promote proliferation, migration, and invasion. In
Daniel K. C. Lee, Keyue Chen, Ryan Loke, Xiang Li, David Liubart, Golam T. Saffi, Jonathan T. S. Chow, Ché M. P. Melo, Lydia To, Leonardo Salmena   +9 more
wiley   +1 more source

Determinants connected with the Periodic Solutions of Mathieu's Equations [PDF]

, 1914
Alexis Burgess
openalex   +1 more source

Machine learning for identifying liver and pancreas cancers through comprehensive serum glycopeptide spectra analysis: a case‐control study

Molecular Oncology, EarlyView.
This study presents a novel AI‐based diagnostic approach—comprehensive serum glycopeptide spectra analysis (CSGSA)—that integrates tumor markers and enriched glycopeptides from serum. Using a neural network model, this method accurately distinguishes liver and pancreatic cancers from healthy individuals.
Motoyuki Kohjima, Yuko Takami, Ken Kawabe, Kazuhiro Tanabe, Chihiro Hayashi, Mikio Mikami, Tetsuya Kusumoto   +6 more
wiley   +1 more source

On an integral equation with an almost periodic solution [PDF]

, 1937
B. Lewitan
openalex   +1 more source

Periodic solutions to Hamiltonian inclusions

Journal of Differential Equations, 1981
AbstractWe prove the existence of periodic trajectories of Hamiltonian inclusions, which reduce to the usual Hamiltonian equations in the presence of smoothness. This is accomplished via a direct variational principle involving a new action integral in an extended sense.
openaire   +3 more sources

Exploring the role of cyclin D1 in the pathogenesis of multiple myeloma beyond cell cycle regulation

Molecular Oncology, EarlyView.
Cyclin D1 overexpression altered the cell adhesion pathway, while cyclin D2 upregulation had less impact on pathway enrichment analysis. Multiple myeloma (MM) patients with cyclin D1 overexpression showed reduced CD56 expression and increased circulating tumor cells (CTC) levels, suggesting that cyclin D1 may contribute to MM cell dissemination ...
Ignacio J. Cardona‐Benavides, Sara Cristobal‐Vargas, Cristina De Ramón, Elizabeta A. Rojas, Irena Misiewicz‐Krzeminska, Isabel Isidro, José Juan Pérez, Bruno Paiva, Noemi Puig, Miguel Alcoceba, María‐Victoria Mateos, Luis A. Corchete, Myriam Cuadrado, Norma C. Gutiérrez   +13 more
wiley   +1 more source

A Novel Approach to a Time-Dependent-Coefficient WBK System: Doubly Periodic Waves and Singular Nonlinear Dynamics

Complexity, 2018
Under investigation in this paper is a more general time-dependent-coefficient Whitham-Broer-Kaup (tdcWBK) system, which includes some important models as special cases, such as the approximate equations for long water waves, the WBK equations in shallow
Bo Xu, Sheng Zhang
doaj   +1 more source

Almost periodic solutions of second order nonlinear differential equations with almost periodic forcing [PDF]

, 1959
C. E. Langenhop, George Seifert
openalex   +1 more source