Results 1 to 10 of about 717 (185)

New Solitary-Wave Solutions of the Van der Waals Normal Form for Granular Materials via New Auxiliary Equation Method

open access: yesMathematics, 2022
In this paper, we use general Riccati equation to construct new solitary wave solutions of the Van der Waals normal form, which is one of the most famous models for natural and industrial granular materials.
Xiaomeng Zhu   +3 more
doaj   +1 more source

New Riccati equations for radiating matter

open access: yesEuropean Physical Journal C: Particles and Fields, 2022
The relationship between radiating stars in general relativity and Riccati equations is investigated for a general matter distribution including the electromagnetic field and the cosmological constant.
Noeleen Naidoo   +2 more
doaj   +1 more source

Traveling wave structures of some fourth-order nonlinear partial differential equations

open access: yesJournal of Ocean Engineering and Science, 2023
This study presents a large family of the traveling wave solutions to the two fourth-order nonlinear partial differential equations utilizing the Riccati-Bernoulli sub-ODE method.
Handenur Esen   +3 more
doaj   +1 more source

A certain class of fractional difference equations with damping: Oscillatory properties

open access: yesDemonstratio Mathematica, 2023
In this study, we have investigated the oscillatory properties of the following fractional difference equation: ∇α+1χ(κ)⋅∇αχ(κ)−p(κ)г(∇αχ(κ))+q(κ)G∑μ=κ−α+1∞(μ−κ−1)(−α)χ(μ)=0,{\nabla }^{\alpha +1}\chi \left(\kappa )\cdot {\nabla }^{\alpha }\chi \left ...
Arundhathi Sivakumar   +3 more
doaj   +1 more source

A family of exact models for radiating matter

open access: yesAIP Advances, 2020
In this paper, the cosmological constant and electric charge are incorporated in the Einstein–Maxwell field equations. Two approaches are used to investigate the problem. First, the boundary condition is expressed as a generalized Riccati equation in one
A. B. Mahomed, S. D. Maharaj, R. Narain
doaj   +1 more source

Riccati transfer matrix method for linear multibody systems with closed loops

open access: yesAIP Advances, 2020
The Riccati transfer matrix method (RTMM) improves the numerical stability of analyzing chain and tree multibody systems with the transfer matrix method for multibody systems.
J. J. Gu, X. T. Rui, J. S. Zhang
doaj   +1 more source

A remark on Philos-type oscillation criteria for differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2020
The purpose of this short note is to call attention to expressions of Philos-type criteria for the oscillation of solutions of a simple differential equation.
Jitsuro Sugie
doaj   +1 more source

Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

open access: yesFractal and Fractional, 2021
In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi   +4 more
doaj   +1 more source

Oscillation criteria for nonlinear delay differential equations of second order

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2011
We prove oscillation theorems for the nonlinear delay differential equation $\left( \left\vert y^{\prime }(t)\right\vert ^{\alpha -2}y^{\prime}(t)\right) ^{\prime }+q(t)\left\vert y(\tau (t))\right\vert ^{\beta-2}y(\tau (t))=0, t\geq t_{\ast }>0,$ where
Devrim Cakmak, Aydin Tiryaki
doaj   +1 more source

Transform of Riccati equation of constant coefficients through fractional procedure [PDF]

open access: yesJournal of Physics A: Mathematical and General, 2003
7 pages, 2 ...
Rosu, H. C.   +2 more
openaire   +2 more sources

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