Results 1 to 10 of about 3,020,455 (306)

Singular Kneser solutions of higher-order quasilinear ordinary differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
In this paper we give a new sufficient condition in order that all nontrivial Kneser solutions of the quasilinear ordinary differential equation \[ D(\alpha_n, \alpha_{n-1}, \dots, \alpha_1)x = (-1)^{n}p(t)|x|^{\beta}\mathrm{sgn}\,x, \quad t \geq a, \tag{
Manabu Naito
doaj   +1 more source

Using Convolutional Neural Networks to Automate Aircraft Maintenance Visual Inspection

open access: yesAerospace, 2020
Convolutional Neural Networks combined with autonomous drones are increasingly seen as enablers of partially automating the aircraft maintenance visual inspection process.
Anil Doğru   +3 more
doaj   +1 more source

Optical Soliton Solutions to Gerdjikov-Ivanov Equation Without Four-Wave Mixing Terms in Birefringent Fibers by Extended Trial Function Scheme

open access: yesمجلة المختار للعلوم, 2021
Without four-wave mixing terms in birefringent fibers, the extended trial function scheme was used to obtain optical soliton solutions for the coupled system corresponding to the Gerdjikov-Ivanov equation.
Emad E. M. Mikael   +2 more
doaj   +1 more source

Unraveling the Dynamics of Singular Stochastic Solitons in Stochastic Fractional Kuramoto–Sivashinsky Equation

open access: yesFractal and Fractional, 2023
This work investigates the complex dynamics of the stochastic fractional Kuramoto–Sivashinsky equation (SFKSE) with conformable fractional derivatives. The research begins with the creation of singular stochastic soliton solutions utilizing the modified ...
M. Mossa Al-Sawalha   +4 more
doaj   +1 more source

On singular solutions of the stationary Navier-Stokes system in power cusp domains

open access: yesMathematical Modelling and Analysis, 2021
The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied.
Konstantinas Pileckas, Alicija Raciene
doaj   +1 more source

The Moving Plane Method for Doubly Singular Elliptic Equations Involving a First-Order Term

open access: yesAdvanced Nonlinear Studies, 2021
In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first-order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov–Serrin and a careful choice ...
Esposito Francesco, Sciunzi Berardino
doaj   +1 more source

Non-stationary Navier–Stokes equations in 2D power cusp domain

open access: yesAdvances in Nonlinear Analysis, 2021
The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. We consider the case where the boundary value has a nonzero flux over the boundary.
Pileckas Konstantin, Raciene Alicija
doaj   +2 more sources

Positive solutions for nonparametric anisotropic singular solutions [PDF]

open access: yesOpuscula Mathematica
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou   +2 more
doaj   +1 more source

Multiple solutions of nonlinear boundary value problems with oscillatory solutions

open access: yesMathematical Modelling and Analysis, 2006
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj   +1 more source

A new two-mode coupled Burgers equation: Conditions for multiple kink solution and singular kink solution to exist

open access: yesAin Shams Engineering Journal, 2018
In this paper, we establish new two-mode coupled Burgers’ equations which are introduced to the first time. We derive the multiple kink and singular solutions for new two-mode coupled Burgers’ equation.
H.M. Jaradat   +4 more
doaj   +1 more source

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