Results 1 to 10 of about 16,247,611 (228)

Oscillation theorems for second order neutral differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper new oscillation criteria for the second order neutral differential equations of the form \begin{equation*} \left(r(t)\left[x(t)+p(t)x(\tau(t))\right]'\right)'+q(t)x(\sigma(t))+v(t)x(\eta(t))=0 \tag{$E$}\end{equation*} are presented. Gained
Blanka Baculíková, Tongxing Li, Jozef Džurina   +2 more
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Oscillation of Second Order Nonlinear Neutral Differential Equations

Mathematics, 2022
The study of the oscillatory behavior of solutions to second order nonlinear differential equations is motivated by their numerous applications in the natural sciences and engineering.
Yingzhu Wu, Yuanhong Yu, Jinsen Xiao
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Second-order differential equations with deviating arguments

Boundary Value Problems, 2006
This paper deals with boundary value problems for second-order differential equations with deviating arguments. Some sufficient conditions are formulated under which such problems have quasisolutions or a unique solution.
W. Szatanik, T. Jankowski
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Periodic perturbations of non-conservative second order differential equations

Electronic Journal of Qualitative Theory of Differential Equations, 2002
Consider the Lienard system $u''+f(u) u'+g(u)=0$ with an isolated periodic solution. This paper concerns the behavior of periodic solutions of Lienard system under small periodic perturbations.
R. A. Chouikha
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Oscillations of Second-Order Neutral Impulsive Differential Equations

Journal of Inequalities and Applications, 2010
Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation [y(t)+py(t-τ)]′′+qy(t-σ)=0, t≠tk, Δ(y′(tk)+py′(tk-τ))+q1y ...
Jin-Fa Cheng, Yu-Ming Chu
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Oscillation of the second order advanced differential equations

Electronic 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
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Boundary value problems for second order delay differential equations [PDF]

Opuscula Mathematica, 2012
We present some existence and uniqueness result for a boundary value problem for functional differential equations of second order.
Lidia Skóra
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Algebroid Solutions of Second Order Complex Differential Equations

Abstract and Applied Analysis, 2014
Using value distribution theory and maximum modulus principle, the problem of the algebroid solutions of second order algebraic differential equation is investigated. Examples show that our results are sharp.
Lingyun Gao, Yue Wang
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Numerical solution of second order ordinary differential equations [PDF]

Computational Algorithms and Numerical Dimensions
Numerical analysis is a modern technology employed by scientists and engineers to tackle complex problems that are challenging to solve through direct methods.
Ayokunle Tadema
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Study of the Existence and Uniqueness of Global Solution for the Fractional Second Order Nonlinear Integro –Differential Equations with Boundary Conditions

Journal of Kufa for Mathematics and Computer, 2018
In this paper, the existence of the global solution and its uniqueness is studied for the Second Order Nonlinear Integro–Differential Fractional Equations with boundary conditions by utilizing the Picard approximation method which is given by Sturble,
Ammar Isam Edress
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