Results 21 to 30 of about 626,225 (308)

More Effective Conditions for Testing the Oscillatory Behavior of Solutions to a Class of Fourth-Order Functional Differential Equations

Axioms, 2023
This paper presents an investigation into the qualitative behavior of solutions for a specific class of fourth-order half-linear neutral differential equations.
Hail S. Alrashdi, Osama Moaaz, Sameh S. Askar, Ahmad M. Alshamrani, Elmetwally M. Elabbasy   +4 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

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

Fourth-Order Neutral Differential Equation: A Modified Approach to Optimizing Monotonic Properties

Mathematics, 2023
In this article, we investigate some qualitative properties of solutions to a class of functional differential equations with multi-delay. Using a modified approach, we first derive a number of optimized relations and inequalities that relate the ...
Amany Nabih, Osama Moaaz, Sameh S. Askar, Ahmad M. Alshamrani, Elmetwally M. Elabbasy   +4 more
doaj   +1 more source

Cosmological Gravitational Wave in a Gravity with Quadratic Order Curvature Couplings [PDF]

, 1996
We present a set of equations describing the cosmological gravitational wave in a gravity theory with quadratic order gravitational coupling terms which naturally arise in quantum correction procedures. It is known that the gravitational wave equation in
A. A. Starobinsky, A. S. Eddington, B. S. DeWitt, B. Whitt, C. W. Misner, E. Alvarez, E. M. Lifshitz, G. ’t Hooft, Hyerim Noh, I. Antoniadis, I. L. Shapiro, J. D. Barrow, J. Hwang, J. Hwang, J. Hwang, J. Hwang, Jai-chan Hwang, K. S. Stelle, L. Amendola, L. H. Ford, L. P. Grishchuk, M. Green, M. H. Goroff, N. D. Birrell, R. Sachs, V. F. Mukhanov, W. Pauli   +26 more
core   +2 more sources

Fixed point results under generalized c-distance with application to nonlinear fourth-order differential equation

Fixed Point Theory, 2019
. We consider the notion of generalized c -distance in the setting of ordered cone b -metric spaces and obtain some new fixed point results. Our results provide a more general statement, under which can be unified some theorems of the existing literature ...
G. Rad, Young Researchers, H. Rahimi, C. Vetro   +3 more
semanticscholar   +1 more source

Oscillation Conditions for Certain Fourth-Order Non-Linear Neutral Differential Equation

Symmetry, 2020
In this work, new conditions were obtained for the oscillation of solutions of fourth-order non-linear neutral differential equations (NDEs) using the Riccati technique. These oscillation criteria complement and improve those of Chatzarakis et al. (2019).
I. Dassios, O. Bazighifan
semanticscholar   +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

Image smoothing via adaptive fourth-order partial differential equation model

The Journal of Engineering, 2019
To overcome the staircase effects and simultaneously avoid edge blurring, here the authors proposed a novel algorithm of adaptive fourth-order partial differential equation (PDE) for image smoothing.
Na Wang, Yan Chen, Linhong Yao, Quan Zhang, Lina Jia, Zhiguo Gui   +5 more
doaj   +1 more source

ADI splitting schemes for a fourth-order nonlinear partial differential equation from image processing [PDF]

, 2013
We present directional operator splitting schemes for the numerical solution of a fourth-order, nonlinear partial differential evolution equation which arises in image processing. This equation constitutes the H−1-gradient flow of the total variation and
A. Chambolle, A. Chambolle, A. Novick-Cohen, A. Oron, B. Düring, B. Düring, Bertram Düring, C. M. Elliott, C. M. Elliott, C. M. Elliott, C.-B. Schönlieb, C.-B. Schönlieb, C.-B. Schönlieb, Carola-Bibiane Schönlieb, D. Barash, D. Mumford, D. W. Peaceman, J. Müller, J. Weickert, J.-F. Aujol, J.-F. Aujol, K. J. in 't Hout, K. J. in 't Hout, L. Ambrosio, L. Gosse, L. I. Rudin, L. Lieu, L. Rudin, L. Vese, L. Vese, Luca Calatroni, M. Benning, M. Benning, M. Burger, M. Burger, O. M. Lysaker, P. J. van der Houwen, P. Smereka, S. D. Conte, S. Didas, S. Esedoglu, S. Masnou, S. Osher, T. F. Chan, T. F. Chan, T. F. Chan, T. F. Chan, T. F. Chan, T. F. Chan, T. G. Myers, T. Goldstein, T. Lu, T. Lu, T. P. Witelski, W. Chen, W. Hundsdorfer, W. Hundsdorfer, Y. Meyer   +57 more
core   +3 more sources