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Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order
Mathematics, 2022 This paper aims to improve Hille oscillation criteria for the third-order functional dynamic equation p2(ξ)ϕγ2p1ξϕγ1yΔ(ξ)ΔΔ+a(ξ)ϕγy(g(ξ))=0, on an above-unbounded time scale T. The obtained results improve related contributions reported in the literature
Taher S. Hassan +5 more
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Oscillation criteria for third-order functional half-linear dynamic equations
Advances in Difference Equations, 2017 In this paper, we study the third-order functional dynamic equation { r 2 ( t ) ϕ α 2 ( [ r 1 ( t ) ϕ α 1 ( x Δ ( t ) ) ] Δ ) } Δ + q ( t ) ϕ α ( x ( g ( t ) ) ) = 0 , $$ \bigl\{ r_{2}(t)\phi_{\alpha_{2}} \bigl( \bigl[ r_{1}(t) \phi _{\alpha _{1}} \bigl(
Taher S Hassan +2 more
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A dynamical study of the Friedmann equations [PDF]
European Journal of Physics, 2001 Cosmology is an attracting subject for students but usually difficult to deal with if general relativity is not known. In this article, we first recall the Newtonian derivation of the Friedmann equations which govern the dynamics of our universe and discuss the validity of such a derivation.
Uzan, Jean-Philippe, Lehoucq, Roland
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Forced oscillation of second-order superlinear dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, by constructing a class of Philos type functions on time scales, we investigate the oscillation of the following second-order forced nonlinear dynamic equation $$x^{\Delta\Delta}(t)-p(t)|x(q(t))|^{\lambda-1}x(q(t))=e(t),\quad t\in\mathbb{T}
Yuangong Sun
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Dynamics of the inflationary flow equations [PDF]
Physical Review D, 2005 9 pages 4 figures.
Chongchitnan, Sirichai +1 more
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Dynamics of the Painlevé-Ince Equation
Results in Mathematics, 2022 AbstractThe Painlevé-Ince differential equation $$y'' + 3 y y' + y^3=0$$ y ′ ′ + 3 y
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Cm-smoothness of invariant fiber bundles for dynamic equations on measure chains [PDF]
, 2004 We present a new self-contained and rigorous proof of the smoothness of invariant fiber bundles for dynamic equations on measure chains or time scales.
Stefan Siegmund +5 more
core +1 more source
Existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales
Moroccan Journal of Pure and Applied Analysis, 2021 In this article we study the existence of positive solutions for second-order nonlinear neutral dynamic equations on time scales. The main tool employed here is Schauder’s fixed point theorem.
Bouchelaghem Faycal +2 more
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Dynamics of Nanoparticle Self-Assembly by Liquid Crystal Sorting in Two Dimensions
Frontiers in Physics, 2021 We study nonlinear dynamical equations for coupled conserved and non-conserved fields describing nanoparticle concentration and liquid crystal order parameter, respectively, and solve them numerically over bidimensional domains. These equations model the
F. Gael Segura-Fernández +3 more
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