Results 181 to 190 of about 2,136 (215)

On the nonoscillation of elliptic integrals

Functional Analysis and Its Applications, 1997
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Elliptic integrals and their nonoscillation

Functional Analysis and Its Applications, 1986
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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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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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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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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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Oscillation and Nonoscillation of Differential Equations with a Time Lag

SIAM Journal on Applied Mathematics, 1971
In this paper, we consider oscillation and nonoscillation of the second order differential equations with a constant time lag: \[ y''( t ) + p( t )y( {t - \tau } ) = 0,\quad t\geqq \alpha _0 \geqq 0,\geqq \tau \geqq 0 ,\] where $p( t )$ is a continuous nonnegative function. Theorems on oscillation and nonoscillation are presented.
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A NONOSCILLATION THEOREM FOR SUBLINEAR EMDEN-FOWLER EQUATIONS

Analysis and Applications, 2003
Consider the Emden-Fowler equation (E) : y″ + a(x)|y|γ-1y = 0, where γ > 0 and a(x) is a positive continuous function on (0, ∞). I. T. Kiguradze showed in 1962 that if x(γ+3)/2+δa(x) is nonincreasing for any δ > 0, then equation (E) is nonoscillatory when γ > 1.
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