Results 111 to 120 of about 203 (148)

Oscillation and Nonoscillation of a Class of Functional Equations

Mathematische Nachrichten, 2001
Here, the following equation \[ x(g(t))=p(t)x(t)+\sum\limits_{i=1}^{m}Q_i(t)x(g^{k+i}(t)) \] is considered, with \(Q_i : I\rightarrow \mathbb{R}=(0, \infty)\), \(i=1,2,\ldots, m\), \(I\subset (0, \infty)\) an unbounded set, \(g : I \rightarrow I\), \(g(t)\not\equiv t\), \(\lim_{t\rightarrow\infty}g(t)=\infty\), \(t\in I\), \(k \geq 1\) a positive ...
Zhang, B. G., Choi, S. K.
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Nonoscillation criteria for discrete hill equation

2017 14th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE), 2017
In this work we recover the Discrete Hill's equation introduced by Chulaevsky in 1989 [11] and give it a graphical interpretation of parametric stability [12] i.e. discrete Arnold tongues. We give the nonoscillatory criteria for discrete Hill's equation and proved that all the nonoscillatory solution of the discrete Hill's equation fall into the 0-th ...
Jose Guillermo Rodriguez Servin, Joaquin Collado   +1 more
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On the nonoscillation of elliptic integrals

Functional Analysis and Its Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Elliptic integrals and their nonoscillation

Functional Analysis and Its Applications, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Nonoscillation integral criteria

Mathematical Notes of the Academy of Sciences of the USSR, 1973
In this paper we obtain new sufficient nonoscillation conditions for a second order linear differential equation.
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On Oscillation and Nonoscillation for Differential Equations with 𝑝-Laplacian

gmj, 2007
Abstract The existence of at least one oscillatory solution of a second order nonlinear differential equation with 𝑝-Laplacian is considered. The global monotonicity properties and asymptotic estimates for nonoscillatory solutions are investigated as well.
M. Bartusek, M. Cecchi, Z. Dosla, MARINI, MAURO   +3 more
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Maximum Principles and Nonoscillation Intervals

2012
In the previous chapters, as well as in the known monographs on nonoscillation of functional differential equations, nonoscillation was only interpreted as existence of eventually positive solutions. In this and the following two chapters, nonoscillation on an interval is considered.
Ravi P. Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky   +3 more
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Nonoscillation of Second Order Superlinear Differential Equations

Canadian Mathematical Bulletin, 1994
AbstractSome sufficient conditions are given for all solutions of the nonlinear differential equation y″(x) +p(x)f(y) = 0 to be nonoscillatory, where p is positive andfor a quotient γ of odd positive integers, γ > 1.
Erbe, L. H., Xia, H. X., Wu, J. H.
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Conditions of nonoscillation of binomial systems of differential equations

Ukrainian Mathematical Journal, 1997
This paper deals with systems of ordinary differential equations \[ y^{(n)}+P(t)y=0,\tag{1} \] where \(P(t)\) is a continuous \(n\times n\)-matrix, \(t\in j=[a,\omega)\), \(\omega\leq\infty\). The main result is the following: Let \( P(t) \) be a continuous and selfadjoint matrix; \(\lambda_{i}(t),i=1,\ldots,n\), be eigenvalues of matrix \(P(t)\). Then
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Oscillations and nonoscillations caused by delays

Applicable Analysis, 1987
This note is devoted to the study of the dependence upon the delays, of the oscillatory beha vior of all solutions of a scalar linear retarded functional differential equation.
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