Results 11 to 20 of about 4,649,569 (285)

Improved Approach for Studying Oscillatory Properties of Fourth-Order Advanced Differential Equations with p-Laplacian Like Operator

open access: yesMathematics, 2020
This paper aims to study the oscillatory properties of fourth-order advanced differential equations with p-Laplacian like operator. By using the technique of Riccati transformation and the theory of comparison with first-order delay equations, we will ...
Omar Bazighifan, Thabet Abdeljawad
doaj   +2 more sources

An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type

open access: yesMathematics, 2021
It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced ...
Osama Moaaz, Ali Muhib, Shyam S. Santra
doaj   +2 more sources

Numerical methods for ordinary differential equations with applications to partial differential equations [PDF]

open access: yes, 1983
This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The thesis develops a number of algorithms for the numerical solution of ordinary differential equations with applications to partial differential equations.
Khaliq, Abdul Qayyum Masud
core   +7 more sources

Oscillatory and asymptotic behavior of advanced differential equations

open access: yesAdvances in Difference Equations, 2020
In this paper, a class of fourth-order differential equations with advanced type is studied. Applying the generalized Riccati transformation, integral averaging technique and the theory of comparison, a set of new criteria for oscillation or certain ...
Omar Bazighifan, George E. Chatzarakis
doaj   +1 more source

Oscillation of Nonlinear Differential Equations with Advanced Arguments

open access: yesمجلة بغداد للعلوم, 2008
This paper is concerned with the oscillation of all solutions of the n-th order delay differential equation . The necessary and sufficient conditions for oscillatory solutions are obtained and other conditions for nonoscillatory solution to converge ...
Baghdad Science Journal
doaj   +1 more source

Asymptotic Behavior of Higher-Order Quasilinear Neutral Differential Equations

open access: yesAbstract and Applied Analysis, 2014
We study asymptotic behavior of solutions to a class of higher-order quasilinear neutral differential equations under the assumptions that allow applications to even- and odd-order differential equations with delayed and advanced arguments, as well as to
Tongxing Li, Yuriy V. Rogovchenko
doaj   +1 more source

Oscillation of the second order advanced differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We establish a new technique for deducing oscillation of the second order advanced differential equation \begin{equation*} \left(r(t)u'(t)\right)'+p(t)u(\sigma(t))=0 \end{equation*} with help of a suitable equation of the form $$ \left(r(t)u'(t)\right)'
Jozef Džurina
doaj   +1 more source

On the Controllability of a Differential Equation with Delayed and Advanced Arguments [PDF]

open access: yesAbstract and Applied Analysis, 2010
A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.
Manzanilla, Raúl   +2 more
openaire   +4 more sources

Advanced impulsive differential equations with piecewise constant arguments

open access: yesMathematical Modelling and Analysis, 2010
We prove the existence and uniqueness of the solutions of a class of first order nonhomogeneous advanced impulsive differential equations with piecewise constant arguments.
Hüseyin Bereketoglu   +2 more
doaj   +1 more source

Advances in differential forms and the A-harmonic equation

open access: yesMathematical and Computer Modelling, 2003
Let \(\bigwedge^ m(\mathbb R^ n)\) be the linear space of \(m\)-vectors spanned by all exterior products of vectors of the canonical basis of \(\mathbb R^ n\). For an open domain \(\Omega\in \mathbb R^ n\) let \(A, B\colon\;\Omega\times\bigwedge^ m(\mathbb R^ n)\to\bigwedge^ m(\mathbb R^ n)\) be functions such that \(| A(x,\xi)| \leq a | \xi| ^{p-1}\),
Agarwal, R. P., Ding, Shusen
openaire   +2 more sources

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