Results 31 to 40 of about 863 (176)

Nonoscillation of half-linear dynamic equations

Computers & Mathematics with Applications, 2010
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Serena Matucci, Pavel Rehák
openaire   +4 more sources

The Oscillatory of Linear Conformable Fractional Differential Equations of Kamenev Type

Discrete Dynamics in Nature and Society, Volume 2020, Issue 1, 2020., 2020
In this paper, the oscillatory of the Kamenev‐type linear conformable fractional differential equations in the form of ptyα+1tα+yα+1t+qtyt=0 is studied, where t ≥ t0 and 0 < α ≤ 1. By employing a generalized Riccati transformation technique and integral average method, we obtain some oscillation criteria for the equation.
Hui Liu, Run Xu, Francisco R. Villatoro
wiley   +1 more source

Nonoscillation and eventual disconjugacy [PDF]

Proceedings of the American Mathematical Society, 1977
If every solution of an n th order linear differential equation has only a finite number of zeros in [ 0 ,
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On positiveness of the fundamental solution for a linear autonomous differential equation with distributed delay

Electronic Journal of Qualitative Theory of Differential Equations, 2014
We present necessary and sufficient conditions for the nonoscillation of the fundamental solutions to a linear autonomous differential equation with distributed delay. The conditions are proposed in both the analytic and geometric forms.
Tatyana Sabatulina, Vera Malygina
doaj   +1 more source

Some nonoscillation criteria for inclusions [PDF]

Journal of the Australian Mathematical Society, 2006
AbstractNew nonoscillatory criteria are presented for second order differential inclusions. The theory relies on Ky Fan's fixed point theorem for upper semicontinuous multifunctions.
Agarwal, Ravi P., Grace, Said R., O'Regan, Donal   +2 more
openaire   +3 more sources

On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales [PDF]

, 2012
For equations on time scales, we consider the following problem: when will nonoscillation on time scale T imply nonoscillation of the same equation on any time scale (T) over tilde including T as a subset?
Braverman, Elena, KARPUZ, BAŞAK
core   +1 more source

Oscillation/Nonoscillation Criteria for Linear Second Order Differential Equations [PDF]

, 1998
New oscillation and nonoscillation criteria are given by generalizing a method of Chunchao Huang published recently in this ...
Elbert, Á
core   +1 more source

Oscillation and nonoscillation criteria for delay differential equations [PDF]

Proceedings of the American Mathematical Society, 1995
Oscillation and nonoscillation criteria for the first-order delay differential equation \[ x ′
Elbert, A., Stavroulakis, I. P.
openaire   +2 more sources

Nonoscillation and oscillation of second order half-linear differential equations [PDF]

, 2007
We study the oscillation problems for the second order half-linear differential equation [p(t)Φ(x′)]′+q(t)Φ(x)=0, where Φ(u)=|u|r−1u with r>0, 1/p and q are locally integrable on R+; p>0, q⩾0 a.e. on R+, and ∫0∞p−1/r(t)dt=∞. We establish new criteria for
Kong, Qingkai
core   +1 more source

Antiprincipal solutions at infinity for symplectic systems on time scales

Electronic Journal of Qualitative Theory of Differential Equations, 2020
In this paper we introduce a new concept of antiprincipal solutions at infinity for symplectic systems on time scales. This concept complements the earlier notion of principal solutions at infinity for these systems by the second author and Šepitka ...
Iva Drimalova, Roman Simon Hilscher
doaj   +1 more source