Results 21 to 30 of about 33,056 (296)

New Monotonic Properties of Positive Solutions of Higher-Order Delay Differential Equations and Their Applications

Mathematics, 2022
In this work, new criteria were established for testing the oscillatory behavior of solutions of a class of even-order delay differential equations. We follow an approach that depends on obtaining new monotonic properties for the decreasing positive ...
Ali Muhib, Osama Moaaz, Clemente Cesarano, Shami A. M. Alsallami, Sayed Abdel-Khalek, Abd Elmotaleb A. M. A. Elamin   +5 more
doaj   +1 more source

New Oscillation Theorems for Second-Order Differential Equations with Canonical and Non-Canonical Operator via Riccati Transformation

Mathematics, 2021
In this work, we prove some new oscillation theorems for second-order neutral delay differential equations of the form (a(ξ)((v(ξ)+b(ξ)v(ϑ(ξ)))′))′+c(ξ)G1(v(κ(ξ)))+d(ξ)G2(v(ς(ξ)))=0 under canonical and non-canonical operators, that is, ∫ξ0∞dξa(ξ)=∞ and ...
Shyam Sundar Santra, Abhay Kumar Sethi, Osama Moaaz, Khaled Mohamed Khedher, Shao-Wen Yao   +4 more
doaj   +1 more source

Oscillation Criteria in Higher Order Neutral Equations

Journal of Mathematical Analysis and Applications, 1994
The paper deals with oscillatory criteria for the solutions of a scalar higher order neutral equation of mixed type (with delayed and advanced arguments), with constant coefficients. As a main result, the classical characterization of oscillations by the characteristic equation is extended to such equations.
Bilchev, S. J., Grammatikopoulos, M. K., Stavroulakis, I. P.   +2 more
openaire   +2 more sources

Further oscillation criteria for partial difference equations with variable coefficients [PDF]

, 2010
In this paper, some new oscillation criteria on the oscillation of first-order partial delay difference equations with nonnegative variable coefficients, which improve the recent ones under some additional conditions, are given.
Öcalan, Özkan, Karpuz, Başak
core   +4 more sources

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

Advances 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, Ravi P Agarwal, Wael W Mohammed   +2 more
doaj   +1 more source

Oscillation criteria of certain fractional partial differential equations

Advances in Difference Equations, 2019
In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation
Di Xu, Fanwei Meng
doaj   +1 more source

Oscillation of linear retarded differential equation [PDF]

, 1984
summary:Some Wintner and Nehari type oscillation criteria are established for the second-order linear delay differential ...
Šremr, Jiří, Opluštil, Zdeněk, Oláh, Rudolf   +2 more
core   +1 more source

Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations

Fractal 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, Omar Bazighifan, Barakah Almarri, M. A. Aiyashi, Kamsing Nonlaopon   +4 more
doaj   +1 more source

Oscillation and non-oscillation criteria for second order linear non homogeneous functional-differential equations

, 2022
The Riccati equation method is used to establish oscillation and non-oscillation criteria for second order linear nonhomogeneous functional-differential equations.We show that the obtained oscillation criterion is a generalization of J. S. W.
Grigorian, G. A.
core  

Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order

Mathematics, 2020
In this paper, the functional dynamic equation of second order is studied on an arbitrary time scale under milder restrictions without the assumed conditions in the recent literature.
Taher S. Hassan, Yuangong Sun, Amir Abdel Menaem   +2 more
doaj   +1 more source