Results 31 to 40 of about 61,137 (267)

The Asymptotic Expansion Method via Symbolic Computation

Journal of Applied Mathematics, 2012
This paper describes an algorithm for implementing a perturbation method based on an asymptotic expansion of the solution to a second-order differential equation. We also introduce a new symbolic computation system which works with the so-called modified
Juan F. Navarro
doaj   +1 more source

Nonpolynomial Spline for Numerical Solution of Singularly Perturbed Convection-Diffusion Equations with Discontinuous Source Term [PDF]

International Journal of Mathematical, Engineering and Management Sciences
This research addresses the numerical solution of singularly perturbed convection-diffusion kind boundary value problem of second-order with a discontinuity term.
Shilpkala T. Mane, Ram Kishun Lodhi
doaj   +1 more source

Non-existence of perturbed solutions under a second-order sufficient condition

Examples and Counterexamples, 2023
We present an optimization problem in infinite dimensions which satisfies the usual second-order sufficient condition but for which perturbed problems fail to possess solutions.
openaire   +3 more sources

Organizing the interface—Plasma membrane architecture and receptor dynamics in virus‐cell interactions

FEBS Letters, EarlyView.
Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
wiley   +1 more source

Epigenetic blind spots – the role of DNA methylation dynamics in stem cell‐based models of embryogenesis

FEBS Letters, EarlyView.
Embryo‐like structures (stembryos) are an innovative tool, but they are hindered by experimental variability and limited developmental potential. DNA methylation is crucial for mammalian development, but its status in stembryo models is poorly characterized.
Sara Canil, Anna Corrà, Annalisa Scapolatiello, Chengxiang Qiu, Gianluca Amadei   +4 more
wiley   +1 more source

Periodic solutions with prescribed minimal period to Hamiltonian systems

Journal of Inequalities and Applications, 2020
In this article, we study the existence of periodic solutions to second order Hamiltonian systems. Our goal is twofold. When the nonlinear term satisfies a strictly monotone condition, we show that, for any T > 0 $T>0$ , there exists a T-periodic ...
Huafeng Xiao, Zupei Shen
doaj   +1 more source

Normal modes for two-dimensional gravitating kinks

Physics Letters B, 2022
We study small perturbations around an arbitrary static kink solution of a two-dimensional (2D) gravity-scalar system, where the gravity part is described by a subclass of 2D dilaton gravity theory, and the scalar matter field has generalized dynamics ...
Yuan Zhong
doaj   +1 more source

Three periodic solutions for perturbed second order Hamiltonian systems

Journal of Mathematical Analysis and Applications, 2009
Consider the following problem \[ \begin{cases} -\ddot{u}+A(t)u=\nabla F(t,u)+\lambda\nabla G(t,u) \qquad \text{a.e. in } [0,T],\\ u(T)-u(0)=\dot{u}(T)-\dot{u}(0)=0, \end{cases}\tag{1} \] where \(\lambda\in \mathbb{R}\), \(T\) is a positive real number. \(A : [0,T] \rightarrow \mathbb{R}^{N\times N} \) is a continuous map from the interval \([0,T]\) to
GCORDARO, RAO, Giuseppe
openaire   +2 more sources

Modulation of Homer1 EVH1 domain internal dynamics by putative autism‐associated mutations

FEBS Letters, EarlyView.
The putative autism‐associated M65I and S97L variants of the EVH1 domain of the postsynaptic scaffold protein Homer1 do not exhibit substantial changes in their overall structure or partner binding. Both of them, but especially the M65I variant, show altered internal dynamics relative to the wild‐type domain on the μs‐ms timescale, indicated by the ...
Fanni Farkas, Brigitta Maruzs, Zsófia E. Kálmán, Tomas Klumpler, Gyula Batta, Bálint Péterfia, Zoltán Gáspári   +6 more
wiley   +1 more source

Application of Local Second-Order Møller–Plesset Perturbation Theory to the Study of Structures in Solution

Journal of Chemical Theory and Computation, 2012
In this work, we discuss the use of local second order Møller-Plesset perturbation theory (LMP2) in combination with the COSMO continuum solvation model for obtaining optimized geometries of molecules in solution. Density-fitting approximations, which reduce the computational cost relative to the basis set size, are also applied. We present results for
Dieterich, Johannes M., Oliveira, Joao C. A., Mata, Ricardo A.   +2 more
openaire   +3 more sources