Results 21 to 30 of about 8,875,478 (340)

On the Third-Order Jacobsthal and Third-Order Jacobsthal–Lucas Sequences and Their Matrix Representations [PDF]

open access: yesMediterranean Journal of Mathematics, 2019
In this paper, we first give new generalizations for third-order Jacobsthal $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$ and third-order Jacobsthal-Lucas $\{j_{n}^{(3)}\}_{n\in \mathbb{N}}$ sequences for Jacobsthal and Jacobsthal-Lucas numbers. Considering these sequences, we define the matrix sequences which have elements of $\{J_{n}^{(3)}\}_{n\in \mathbb{N}}$
openaire   +3 more sources

Variable Coefficient Third Order KdV Type of Equations [PDF]

open access: yes, 1994
We show that the integrable subclassess of a class of third order non-autonomous equations are identical with the integrable subclassess of the autonomous ones.Comment: Latex file , 15 ...
Atalay Karasu   +2 more
core   +2 more sources

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

open access: yesJournal 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

Improved Hille Oscillation Criteria for Nonlinear Functional Dynamic Equations of Third-Order

open access: yesMathematics, 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
doaj   +1 more source

Third-order relativistic dissipative hydrodynamics

open access: yes, 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   +3 more
core   +1 more source

Comparison of properties of solutions of differential equations and recurrence equations with the same characteristic equation (on example of third order linear equations with constant coefficients) [PDF]

open access: yesOpuscula Mathematica, 2006
Third order linear homogeneous differential and recurrence equations with constant coefficients are considered. We take the both equations with the same characteristic equation.
Jarosław Mikołajski, Ewa Schmeidel
doaj  

Hyperconfluent third-order supersymmetric quantum mechanics

open access: yes, 2011
The hyperconfluent third-order supersymmetric quantum mechanics, in which all the factorization energies tend to a common value, is analyzed. It will be shown that the final potential as well can be achieved by applying consecutively a confluent second ...
C, David J Fernandez   +1 more
core   +1 more source

Oscillation criteria for third-order functional half-linear dynamic equations

open access: yesAdvances 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
doaj   +1 more source

Informative Order-Reduction of Underdamped Third-Order Systems

open access: yesIEEE Access, 2021
Model order reduction simplifies the understanding of a given system and minimizes the simulation studies computational burden. A new order reduction method that depends on a predetermined normalized error of the transient performance indices is ...
Saher Albatran   +2 more
doaj   +1 more source

ON A THIRD ORDER DIFFERENCE EQUATION

open access: yesActa Universitatis Apulensis, 2018
Summary: In this paper, the authors solve the difference equation \[ x_{n+1} =\frac{x_nx_{n-2}}{-ax_n + bx_{n-2}}, \quad n = 0, 1, \dots, \] where \(a\) and \(b\) are positive real numbers and the initial values \(x_{-2}, x_{-1}\) and \(x_0\) are real numbers.
openaire   +2 more sources

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