Results 91 to 100 of about 162,302 (283)

Elliptic perturbations for Hammerstein equations with singular nonlinear term

Electronic Journal of Differential Equations, 2006
We consider a singular elliptic perturbation of a Hammerstein integral equation with singular nonlinear term at the origin. The compactness of the solutions to the perturbed problem and, hence, the existence of a positive solution for the ...
Giuseppe Maria Coclite, Mario Michele Coclite   +1 more
doaj  

Solutions of the Singular IVPs of Lane-Emden type equations by combining Laplace transformation and perturbation technique

Nonlinear Engineering, 2018
In this paper, we propose an efficient method to solve linear and nonlinear singular initial value problems of Lane-Emden type equations by combining Laplace transformation and homotopy perturbation methods.
Aminikhah Hossein
doaj   +1 more source

Structure Formation in Butterfly Scales: Interplay of Genetic Control, Mechanical Instabilities, and Dynamic Material Properties

Advanced Functional Materials, EarlyView.
Butterfly wing scales are intricate cuticular functional nanosctructures. This perspective suggests that spatially varying material properties, cytoskeletal constraints, and growth‐driven mechanical instabilities shape the resulting nanoscale architectures created from single cells.
Anupama Prakash, Victoria Lloyd, Yi Yang, Anna‐Lee Jessop, Anthony McDougal, Primož Pirih, Guillaume Duclos, Andrew Parnell, Mathias Kolle, Nicola J. Nadeau, Bodo D. Wilts   +10 more
wiley   +1 more source

A singular perturbation problem in integrodifferential equations

Electronic Journal of Differential Equations, 1993
Consider the singular perturbation problem for $$varepsilon ^2 u'' (t;varepsilon ) + u'(t;varepsilon ) = Au(t;varepsilon )+int_0^t K(t-s)Au(s;varepsilon),ds+ f(t;varepsilon ),,$$ where $tgeq 0$, $u(0;varepsilon ) = u_0 (varepsilon )$, $u'(0;varepsilon ) =
James Liu
doaj  

Modular cell biology: retroactivity and insulation

Molecular Systems Biology, 2008
Modularity plays a fundamental role in the prediction of the behavior of a system from the behavior of its components, guaranteeing that the properties of individual components do not change upon interconnection.
Domitilla Del Vecchio, Alexander J Ninfa, Eduardo D Sontag   +2 more
doaj   +1 more source

A study of the application of singular perturbation theory [PDF]

A hierarchical real time algorithm for optimal three dimensional control of aircraft is described. Systematic methods are developed for real time computation of nonlinear feedback controls by means of singular perturbation theory. The results are applied
Carroll, J. V., Mehra, R. K., Sajan, S., Washburn, R. B.   +3 more
core   +1 more source

Elucidating the Role of Surface Ligands on the Oxidative Etching of Au Bipyramids During Photothermia Using Liquid Cell Transmission Electron Microscopy

Advanced Functional Materials, EarlyView.
Gold bipyramids can act as efficient plasmonic nanoheaters, but they often reshape during laser heating. This study shows that oxygen nanobubbles drive oxidative etching and that surface ligands control stability. CTAB‐ and citrate‐coated particles blunt and lose optical performance, whereas polystyrene sulfonate preserves shape and heating by ...
Irene López‐Sicilia, Valentina Girelli Consolaro, Sophie Marbach, Nancy Rahbany, Grégoire Petit, Ovidiu Ersen, Juan J. Giner‐Casares, Ali Abou‐Hassan   +7 more
wiley   +1 more source

Toward Stable Multivalent Metal Batteries: Understanding the Interfacial Chemistry for Magnesium and Calcium Metal Anodes

Advanced Functional Materials, EarlyView.
Interphase chemistry governs the stability of multivalent metal batteries. We summarize state‐of‐the‐art developments in calcium and magnesium metal batteries by focusing on the correlation among electrolytes, interphase layers, and the electrochemical performance of corresponding metal anodes.
Huijun Lin, Qi Meng, Juncai Long, Chuheng Cao, Zheng‐Long Xu   +4 more
wiley   +1 more source

Multi‐Scale Interface Engineering of MXenes for Multifunctional Sensory Systems

Advanced Functional Materials, EarlyView.
MXenes, as two‐dimensional transition metal carbides and nitrides, demonstrate remarkable capabilities for multifunctional sensing applications. This review systematically examines multi‐scale interface engineering approaches that enhance sensing performance, enable diverse detection functionalities, and improve system‐level compatibility in MXene ...
Jiaying Liao, Sin‐Yi Pang, Jianhua Hao
wiley   +1 more source

Perturbation of singular integral operators with piecewise continuous coefficients

Acta et Commentationes: Ştiinţe Exacte şi ale Naturii
In the paper it is shown that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed showing that the
Vasile Neagu, Diana Bîclea
doaj   +1 more source