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Using three critical points theorems, we prove the existence of at least three solutions for a quasilinear biharmonic equation.
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http://dx.doi.org/10.1155/2014/370494 | DOI Listing |
ISA Trans
June 2025
Department of Electrical Engineering, Indian Institute of Technology (Banaras Hindu University), Varanasi, India. Electronic address:
This paper proposes a Model Predictive Control (MPC) strategy for a class of Quasi-Linear Parameter-Varying (quasi-LPV) systems characterized by a measurable time-varying parameter. The core of the proposed quasi-LPV-MPC controller lies in the utilization of a polytopic representation along with a gain-scheduled controller. A terminal cost that depends explicitly on the scheduling parameter is used.
View Article and Find Full Text PDFTalanta
December 2025
Department of Laboratory Medicine, The Affiliated Guangdong Second Provincial General Hospital of Jinan University, Guangzhou, 510317, China; The Second School of Clinical Medicine, Southern Medical University, Guangzhou, 510317, China; Guangdong Pharmaceutical University, Guangzhou, 510006, China;
Lymphocyte count reflects the cellular immune function status of the body, and T lymphocyte subsets are of great value in the adjuvant diagnosis, efficacy monitoring, and prognostic assessment of clinical diseases. There is an urgent need to develop a simple and economical cell-counting platform for T lymphocyte subsets to meet clinical needs of cancer prognosis. Based on the vertical flow assay (VFA) and a polystyrene (PS) microsphere-labeled antibody specifically binding to target cells, we established a simple T lymphocyte counting assay (PS-VFA).
View Article and Find Full Text PDFJ Sci Comput
April 2025
Department of Mathematics, Purdue University, West Lafayette, IN 47907 USA.
In this paper, we introduce a quasi-Newton method optimized for efficiently solving quasi-linear elliptic equations and systems, with a specific focus on GPU-based computation. By approximating the Jacobian matrix with a combination of linear Laplacian and simplified nonlinear terms, our method reduces the computational overhead typical of traditional Newton methods while handling the large, sparse matrices generated from discretized PDEs. We also provide a convergence analysis demonstrating local convergence to the exact solution under optimal choices for the regularization parameter, ensuring stability and efficiency in each iteration.
View Article and Find Full Text PDFPhys Rev E
February 2025
École Polytechnique Fédérale de Lausanne, Emergent Complexity in Physical Systems Laboratory (ECPS), CH-1015 Lausanne, Switzerland.
We derive a two-dimensional (2D) extension of a recently developed formalism for slow-fast quasilinear (QL) systems subject to fast instabilities. The emergent dynamics of these systems is characterized by a slow evolution of (suitably defined) mean fields coupled to marginally stable, fast fluctuation fields. By exploiting this scale separation, an efficient hybrid fast-eigenvalue/slow-initial-value solution algorithm can be developed in which the amplitude of the fast fluctuations is slaved to the slowly evolving mean fields to ensure marginal stability-and temporal scale separation-is maintained.
View Article and Find Full Text PDFBiosensors (Basel)
February 2025
Department of Chemistry, University of Rome "La Sapienza", P.le A. Moro 5, 00185 Rome, Italy.
A novel strategy for the qualitative analysis of carbohydrates is developed, utilizing a direct catalytic fuel cell (DCFC) as a sensor, combined with chemometric tools for processing the resulting response curves. Specifically, carbohydrate solutions were incubated with yeast to produce alcohol, and the corresponding current decay trends were measured using a direct catalytic fuel cell designed for ethanol detection. Multiple data processing approaches were then evaluated.
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