Results 31 to 40 of about 4,284 (195)
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
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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
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Oscillation criteria for third order nonlinear delay differential equations with damping [PDF]
Opuscula Mathematica, 2015 This note is concerned with the oscillation of third order nonlinear delay differential equations of the form \[\label{*} \left( r_{2}(t)\left( r_{1}(t)y^{\prime}(t)\right)^{\prime}\right)^{\prime}+p(t)y^{\prime}(t)+q(t)f(y(g(t)))=0.\tag{\(\ast\)}\] In ...
Said R. Grace
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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
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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
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Nonoscillatory solutions for super-linear Emden-Fowler type dynamic equations on time scales [PDF]
, 2015 In this paper, we consider the following Emden-Fowler type dynamic equations on time scales \begin{equation*} \big(a(t)|x^\Delta(t)|^\alpha \operatorname{sgn} x^\Delta(t)\big)^\Delta+b(t)|x(t)|^\beta \operatorname{sgn}x(t)=0, \end{equation*} when ...
Han, Zhenlai, Li, Hui, Wang, Yizhuo
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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
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Oscillations of nonlinear difference equations with deviating arguments [PDF]
Mathematica Bohemica, 2018 This paper is concerned with the oscillatory behavior of first-order nonlinear difference equations with variable deviating arguments. The corresponding difference equations of both retarded and advanced type are studied.
George E. Chatzarakis, Julio G. Dix
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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
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Oscillations of differential equations generated by several deviating arguments
Advances in Difference Equations, 2017 Sufficient conditions, involving limsup and liminf, for the oscillation of all solutions of differential equations with several not necessarily monotone deviating arguments and nonnegative coefficients are established.
George E Chatzarakis, Tongxing Li
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