Results 31 to 40 of about 9,021,127 (291)

Stability and Boundedness of Solutions of Nonlinear Third Order Differential Equations with Bounded Delay

Journal of Mathematical Sciences and Modelling, 2022
In this paper, we investigate the boundedness and uniformly asymptotically stability of the solutions to a certain third order non-autonomous differential equations with bounded delay.
Abdulhamit Özdemir, Erdal Korkmaz
doaj   +1 more source

Oscillation criteria for third order delay nonlinear differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2012
The purpose of this paper is to give oscillation criteria for the third order delay nonlinear differential equation \begin{equation*} \lbrack a_{2}(t)\{(a_{1}(t)(x^{\prime }(t))^{\alpha _{1}})^{\prime}\}^{\alpha _{2}}]^{\prime }+q(t)f(x(g(t)))=0, \end ...
E. Elabbasy, Taher Hassan, B. M. Elmatary   +2 more
doaj   +1 more source

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, Rabie A. Ramadan, Zainab Alsheekhhussain, Ahmed Y. Khedr, Amir Abdel Menaem, Ismoil Odinaev   +5 more
doaj   +1 more source

Binomial Transforms of the Third-Order Jacobsthal and Modified Third-Order Jacobsthal Polynomials

Universal Journal of Mathematics and Applications
In this study, we define the binomial transforms of third-order Jacobsthal and modified third-order Jacobsthal polynomials. Further, the generating functions, Binet formulas and summation of these binomial transforms are found by recurrence relations ...
Gamaliel Morales
doaj   +1 more source

Third-order relativistic dissipative hydrodynamics

, 2010
Following the procedure introduced by Israel and Stewart, we expand the entropy current up to the third order in the shear stress tensor $\pi^{\alpha\beta}$ and derive a novel third-order evolution equation for $\pi^{\alpha\beta}$.
Andrej El, Carsten Greiner, N. Andersson, Zhe Xu   +3 more
core   +1 more source

Hamiltonian dynamics of breathers with third-order dispersion [PDF]

, 2001
We present a nonperturbative analysis of certain dynamical aspects of breathers (dispersion-managed solitons) including the effects of third-order dispersion.
Mookherjea, Shayan, Yariv, Amnon
core   +1 more source

Oscillation Conditions for Third-Order Delay Differential Equations with Neutral-Type Term

Mathematics
In this work, we adopted an approach similar to that of Chatzarakis’, by transforming the oscillation analysis of third-order differential equations into an equivalent first-order problem.
Rongrong Guo, Haifeng Tian
doaj   +1 more source

Theory of Adiabatic fluctuations : third-order noise

, 1998
We consider the response of a dynamical system driven by external adiabatic fluctuations. Based on the `adiabatic following approximation' we have made a systematic separation of time-scales to carry out an expansion in $\alpha |\mu|^{-1}$, where $\alpha$
Arnoldus H F, Arnoldus H F, Banik S K, Berdichevsky V, Bixon M, Bourret R C, Bourret R C, Brissaud A, Cruty M R, Deb Shankar Ray, Fox R F, Gardiner C W, Jyotipratim Ray Chaudhuri, Kramers H A, Landau L D, Landau L D, Shlesinger M F, Suman Kumar Banik, van Kampen N G, van Kampen N G, Wax N   +20 more
core   +2 more sources

Dual third-order Jacobsthal quaternions [PDF]

Proyecciones (Antofagasta), 2018
In 2016, Yüce and Torunbalcı Aydın (18) defined dual Fibonacci quaternions. In this paper, we defined the dual third-order Jacobsthal quaternions and dual third-order Jacobsthal-Lucas quaternions. Also, we investigated the relations between the dual third-order Jacobsthal quaternions and third-order Jacobsthal numbers.
openaire   +3 more sources

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, Ravi P Agarwal, Wael W Mohammed   +2 more
doaj   +1 more source