Results 21 to 30 of about 863 (176)
Electronic Journal of Differential Equations, 2016 We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional.
Ondrej Dosly, Vojtech Ruzicka
doaj +1 more source
PINN‐CDR: A Neural Network‐Based Simulation Tool for Convection‐Diffusion‐Reaction Systems
International Journal of Intelligent Systems, Volume 2023, Issue 1, 2023., 2023 In this paper, a discretization‐free approach based on the physics‐informed neural network (PINN) is proposed for solving the forward and inverse problems governed by the nonlinear convection‐diffusion‐reaction (CDR) systems. By embedding physical information described by the CDR system in the feedforward neural networks, PINN is trained to approximate
Qingzhi Hou +6 more
wiley +1 more source
Second‐order impulsive differential systems with mixed delays: Oscillation theorems
Mathematical Methods in the Applied Sciences, Volume 45, Issue 18, Page 12184-12195, December 2022., 2022 In this work, we obtain necessary and sufficient conditions for the oscillation of solutions of a second‐order neutral differential equation with impulses. Two examples are provided to show the effectiveness and feasibility of the main results. Our main tool is the Lebesgue's Dominated Convergence theorem.
Shyam Sundar Santra +2 more
wiley +1 more source
Large‐Eddy Simulations of a Convection Cloud Chamber: Sensitivity to Bin Microphysics and Advection
Journal of Advances in Modeling Earth Systems, Volume 14, Issue 5, May 2022., 2022 Abstract Bin microphysics schemes are useful tools for cloud simulations and are often considered to provide a benchmark for model intercomparison. However, they may experience issues with numerical diffusion, which are not well quantified, and the transport of hydrometeors depends on the choice of advection scheme, which can also change cloud ...
Fan Yang +6 more
wiley +1 more source
Bulletin of the London Mathematical Society, Volume 54, Issue 2, Page 590-608, April 2022., 2022 Abstract We construct an example of a smooth convex function on the plane with a strict minimum at zero, which is real analytic except at zero, for which Thom's gradient conjecture fails both at zero and infinity. More precisely, the gradient orbits of the function spiral around zero and at infinity.
Aris Daniilidis +2 more
wiley +1 more source
Oscillation of Third‐Order Nonlinear Generalized Difference Equation with Multiple Neutral Terms
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 In this paper, the authors discuss the oscillatory behaviour of a third order generalized difference equation with multiple neutral terms. We have also applied Riccati transformation and Philo type technique to derive new oscillation criteria for the difference equation in question. Suitable examples are provided to validate our main results.
M. Sumathy +4 more
wiley +1 more source
Fast and Efficient Numerical Finite Difference Method for Multiphase Image Segmentation
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 We present a simple numerical solution algorithm for a gradient flow for the Modica–Mortola functional and numerically investigate its dynamics. The proposed numerical algorithm involves both the operator splitting and the explicit Euler methods. A time step formula is derived from the stability analysis, and the goodness of fit of transition width is ...
Yibao Li +8 more
wiley +1 more source
Nonoscillation and integral inequalities [PDF]
Bulletin of the American Mathematical Society, 1974 Publisher Summary This chapter discusses nonoscillation and integral inequalities. The chapter presents an assumption involving a system dy/dt = A(t) y where A = (a jk ) n 1 is an n × n real valued matrix and y = (y 1 , …, y n ) is an n column real valued vector.
openaire +4 more sources
Oscillation and Nonoscillation for Second Order Linear Impulsive Differential Equations [PDF]
, 1997 We study the oscillation and nonoscillation for the second order linear impulsive differential equationu″=−p(t)u, wherep(t) is an impulsive function defined byp(t)=∑n=1∞anδ(t−tn), and we establish a necessary and sufficient condition for oscillation (or ...
Huang, Chunchao
core +1 more source
Nonoscillation of Linear Difference Systems
Journal of Mathematical Analysis and Applications, 1994 For the system \(\Delta x = A(t)x\) with \(\Delta x(t) = x(t + 1) - x(t)\), similar nonoscillatory conditions are obtained as in the well known case \(x'(t) = A(t)x\), cf. \textit{S. Friedland} [Mem. Am. Math. Soc. 176 (1976; Zbl 0348.34023)]. In particular, the two-dimensional case is considered in detail.
Lafaut, R.N., Muldowney, J.S.
openaire +2 more sources