Results 21 to 30 of about 4,649,569 (285)

Some New Oscillation Results for Higher-Order Nonlinear Differential Equations with a Nonlinear Neutral Term

Mathematics, 2022
The authors study the oscillatory behaviors of solutions of higher-order nonlinear differential equations with a nonlinear neutral term. The right hand side of their equation contains both an advanced and a delay term, and either (or both) of them can be
John R. Graef, Said R. Grace, Irena Jadlovská, Ercan Tunç   +3 more
doaj   +1 more source

Oscillation conditions for first-order nonlinear advanced differential equations [PDF]

, 2015
summary:Our purpose is to analyze a first order nonlinear differential equation with advanced arguments. Then, some sufficient conditions for the oscillatory solutions of this equation are presented.
Öcalan, Özkan, Kiliç, Nurten, Chatzarakis, G. E.   +2 more
core   +1 more source

Oscillation theorems for advanced differential equations

Novi Sad Journal of Mathematics, 2022
Summary: In this paper, we will establish some oscillation criteria for the advanced differential equations \[ u' (t) -\sum\nolimits^{i=k}_{i=1} q_i (t) u^{\alpha} (\tau_i (t)) = 0, \quad \text{for }t \geq t_0 \] where \(k\) is an integer and \(\alpha\) is a quotient of odd integers, such as \(k \geq 1\) and \(\alpha \geq 1\).
Cherif, Amin Benaissa, Fethallah, Moussa, Ladrani, Fatima Zohra   +2 more
openaire   +1 more source

An Oscillation Criterion of Nonlinear Differential Equations with Advanced Term [PDF]

Symmetry, 2021
The aim of the present paper is to provide oscillation conditions for fourth-order damped differential equations with advanced term. By using the Riccati technique, some new oscillation criteria, which ensure that every solution oscillates, are established.
Omar Bazighifan, Alanoud Almutairi, Barakah Almarri, Marin Marin   +3 more
openaire   +1 more source

Asymptotic Behavior of Solutions of the Third Order Nonlinear Mixed Type Neutral Differential Equations

, 2020
The objective of our paper is to study asymptotic properties of the class of third order neutral differential equations with advanced and delayed arguments. Our results supplement and improve some known results obtained in the literature. An illustrative
Dimplekumar Chalishajar, Osama Moaaz, Omar Bazighifan   +2 more
core   +1 more source

Integration of Differential Equations by C∞-Structures [PDF]

, 2023
Several integrability problems of differential equations are addressed using the concept of a (Formula presented.) -structure, a recent generalization of the notion of solvable structure.
Adrián Ruiz, Muriel Patino, María Concepción, Pan Collantes, Antonio Jesús, Ruiz Serván, Adrián, Concepción Muriel, Antonio Jesús Pan-Collantes   +5 more
core   +1 more source

New Oscillation Criteria for Second-Order Forced Quasilinear Functional Differential Equations

Abstract and Applied Analysis, 2013
We establish some new interval oscillation criteria for a general class of second-order forced quasilinear functional differential equations with ϕ-Laplacian operator and mixed nonlinearities.
Mervan Pašić
doaj   +1 more source

Singular regularization of operator equations in L1 spaces via fractional differential equations [PDF]

, 2016
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Purnaras, Ioannis, Karakostas, George
core   +1 more source

Oscillation Theorems for Advanced Differential Equations with p-Laplacian Like Operators

Mathematics, 2020
The main objective of this paper is to establish new oscillation results of solutions to a class of even-order advanced differential equations with a p-Laplacian like operator.
Omar Bazighifan, Poom Kumam
doaj   +1 more source

Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations

Abstract and Applied Analysis, 2014
We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments.
Tongxing Li, Yuriy V. Rogovchenko
doaj   +1 more source