Results 31 to 40 of about 4,377 (209)
Nonoscillatory solutions of higher order delay equations
Journal of Mathematical Analysis and Applications, 1980 where f is a continuous real valued function for f > 0 and x E R such that f(t, x) is nondecreasing in x for fixed t, and xf(t, x) > 0 if x # 0. The delay function g(t) is continuous and satisfies g(t) to in that it satisfies for r>, t, x(t)x”‘(t) > 0 for i = 0, l,..., I, and (-1)“’ ‘x(t)x”‘(t) < 0, i = 1 + 1, I + 2 ,..., n.
Foster, K.E, Grimmer, R.C
openaire +2 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this study, the nonlinear partial differential equation that governs the free vibration of a carbon nanotube composite beam is analytically investigated using the truncated M‐fractional derivative. This model is a beam supported by a nonlinear viscoelastic base and reinforced by carbon nanotubes.
Nadia Javed +7 more
wiley +1 more source
Trench's Perturbation Theorem for Dynamic Equations
Discrete Dynamics in Nature and Society, 2007 We consider a nonoscillatory second-order linear dynamic equation on a time scale together with a linear perturbation of this equation and give conditions on the perturbation that guarantee that the perturbed equation is also nonoscillatory and has ...
Martin Bohner, Stevo Stevic
doaj +1 more source
WENO schemes for multidimensional nonlinear degenerate parabolic PDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2018 In this paper, a scheme is presented for approximating solutions of non linear degenerate parabolic equations which may contain discontinuous solutions.
R. Abedian
doaj +1 more source
Nonoscillatory Solutions of Second‐Order Differential Equations without Monotonicity Assumptions [PDF]
Journal of Applied Mathematics, 2012 The continuability, boundedness, monotonicity, and asymptotic properties of nonoscillatory solutions for a class of second‐order nonlinear differential equations are discussed without monotonicity assumption for function g. It is proved that all solutions can be extended to infinity, are eventually monotonic, and can be classified into disjoint ...
Wang, Lianwen, McKee, Rhonda
openaire +4 more sources
Dynamics of Downdrafts Around a Growing Convective Cloud: A Numerical Study
Journal of Geophysical Research: Atmospheres, Volume 130, Issue 22, 28 November 2025.Abstract We examine the dynamics of cloud‐edge downdrafts over the growth phase of isolated cumuli, combining Eulerian and Lagrangian analyses. As in previous studies, our results show that growing cumuli are surrounded by downdrafts linked to cloud‐scale quasi‐toroidal circulations at all times at middle and upper cloud levels consistent with the ...
Lianet Hernández Pardo +2 more
wiley +1 more source
Existence for Nonoscillatory Solutions of Higher-Order Nonlinear Differential Equations [PDF]
ISRN Mathematical Analysis, 2011 The existence of nonoscillatory solutions of the higher-order nonlinear differential equation [r(t)(x(t)+P(t)x(t-τ))(n-1)]′+∑i=1mQi(t)fi(x(t-σi))=0, t≥t0, where m≥1,n≥2 are integers, τ>0, σi≥0, r,P,Qi∈C([t0,∞),R), fi∈C(R,R) (i=1,2,…,m), is studied.
Tian, Yazhou, Meng, Fanwei
openaire +2 more sources
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 9, September 2025.We numerically analyzed the flow and deformation of a toroidal embolic agent in straight and stenotic pipes with full Eulerian fluid‐structure interaction. The fluid passes through the hole of the torus, and the deformation is categorized into three deformation modes such as bending, rotation, and elongation.
Kazuki Matsumiya +4 more
wiley +1 more source
Weakly nonlinear nonaxisymmetric oscillations of capillary bridges at small viscosity [PDF]
, 2002 Weakly nonlinear nonaxisymmetric oscillations of a capillary bridge are considered in the limit of small viscosity. The supporting disks of the liquid bridge are subjected to small amplitude mechanical vibrations with a frequency that is close to a ...
Higuera, María +2 more
core +2 more sources
Mathematical Methods in the Applied Sciences, Volume 48, Issue 13, Page 12807-12812, September 2025.ABSTRACT In this paper, new representations of the Green's function for an acoustic d$$ d $$‐dimensional half‐space problem with impedance boundary conditions are presented. The main features of the new representation are in addition to additive terms that appear also in the case of Dirichlet or Neumann boundary conditions, the remaining part of the ...
C. Lin, J. M. Melenk, S. Sauter
wiley +1 more source