Results 11 to 20 of about 371,472 (295)

Oscillation Theorems for Nonlinear Differential Equations of Fourth-Order

Mathematics, 2020
We study the oscillatory behavior of a class of fourth-order differential equations and establish sufficient conditions for oscillation of a fourth-order differential equation with middle term.
Osama Moaaz, Ioannis Dassios, Omar Bazighifan, Ali Muhib   +3 more
doaj   +1 more source

Oscillation of certain fourth-order functional differential equations [PDF]

Ukrainian Mathematical Journal, 2007
Some new criteria for the oscillation of the fourth order functional differential equation (1/a(t)(x″(t))α)″ = q(t)f(x[g(t)]) + p(t)h(x[σ(t)]) are established.
Agarwal, R.P., Grace, S.R., O???Regan, D.   +2 more
openaire   +2 more sources

Trainable fourth-order partial differential equations for image noise removal [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2021
Image processing by partial differential equations (PDEs) has been an active topic in the area of image denoising, which is an important task in computer vision.
N. Khoeiniha, S.M. Hosseini, R. Davoudi
doaj   +1 more source

Symmetries of a class of nonlinear fourth order partial differential equations [PDF]

, 1998
In this paper we study symmetry reductions of a class of nonlinear fourth order partial differential equations \be u_{tt} = \left(\kappa u + \gamma u^2\right)_{xx} + u u_{xxxx} +\mu u_{xxtt}+\alpha u_x u_{xxx} + \beta u_{xx}^2, \ee where $\alpha$, $\beta$
Ablowitz M.J., Ablowitz M.J., Ablowitz M.J., Abramowitz M., Ames W.F., Arrigo D., Bluman G.W, Boussinesq J., Boussinesq J., Boyd J.P., Camassa R., Camassa R., Caudrey P.J., Caudrey P.J., Champagne B., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Clarkson P.A., Constantin A., Constantin A., Constantin A., Conte R., Cooper F., Deift P., Fokas A.S., Fornberg B., Fuchssteiner B., Fuchssteiner B., Fuchssteiner B., Galaktionov V.A., Galaktionov V.A., Gardner C.S., Gilson C., Hereman W., Ince E.L., Levi D., Li Yi.A., Li Yi.A., Li Yi.A., Mansfield E.L., Mansfield E.L., Nucci M.C., Olver P.J., Olver P.J., Pucci E., Ramani A., Ranada A.F., Reid G.J., Reid G.J., Rosenau P., Rosenau P., Rosenau P., Rosenau P., Schiff J., Vorob’ev E.M., Weiss J., Whittaker E.E., Zakharov V.E.   +63 more
core   +2 more sources

New Oscillation Criteria for Advanced Differential Equations of Fourth Order

Mathematics, 2020
The main objective of this paper is to establish new oscillation results of solutions to a class of fourth-order advanced differential equations with delayed arguments.
Omar Bazighifan, Hijaz Ahmad, Shao-Wen Yao   +2 more
doaj   +1 more source

Oscillation of Neutral Differential Equations with Damping Terms

Mathematics, 2023
Our interest in this paper is to study and develop oscillation conditions for solutions of a class of neutral differential equations with damping terms. New oscillation criteria were obtained by using Riccati transforms. The criteria we obtained improved
Ioannis Dassios, Ali Muhib, Sobhy A. A. El-Marouf, Sayed K. Elagan   +3 more
doaj   +1 more source

On the finite space blow up of the solutions of the Swift-Hohenberg equation [PDF]

, 2014
The aim of this paper is to study the finite space blow up of the solutions for a class of fourth order differential equations. Our results answer a conjecture in [F. Gazzola and R. Pavani.
Dos Santos, Ederson Moreira, Vanderley Ferreira   +2 more
core   +1 more source

Infinitely Many Homoclinic Solutions for Fourth Order p-Laplacian Differential Equations

Mathematics, 2020
The existence of infinitely many homoclinic solutions for the fourth-order differential equation φ p u ″ t ″ + w φ p u ′ t ′ + V ( t ) φ p u t = a ( t ) f ( t , u ( t ) ) , t ∈ R is studied in the paper ...
Stepan Tersian
doaj   +1 more source

An Improved Criterion for the Oscillation of Fourth-Order Differential Equations

Mathematics, 2020
The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ‴ ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w
Omar Bazighifan, Marianna Ruggieri, Andrea Scapellato   +2 more
doaj   +1 more source

Riccati Technique and Asymptotic Behavior of Fourth-Order Advanced Differential Equations

Mathematics, 2020
In this paper, we deal with the oscillation of fourth-order nonlinear advanced differential equations of the form r t y ‴ t α ′ + p t f y ‴ t + q t g y σ t = 0 .
Omar Bazighifan, Ioannis Dassios
doaj   +1 more source