Results 11 to 20 of about 109 (105)
Oscillation of higher-order quasi-linear neutral differential equations [PDF]
Advances in Difference Equations, 2011 In this note, we establish some oscillation criteria for certain higher-order quasi-linear neutral differential equation. These criteria improve those results in the literature. Some examples are given to illustrate the importance of our results.
Xing Guojing +2 more
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Some properties of solutions to a planar system of nonlinear differential equations [PDF]
, 2018 In this paper we present for the solutions of a planar system of differential equations, extremal principle, Nicolescu-type and Butlewski-type separation theorems. Some applications and examples are given. Mathematics Subject Classification (2010): 34A12,
ILEA, Veronica
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”Homogeneous” second order differential equation: zeros separation principles [PDF]
, 2018 In this paper we study the following problems: Problem 1. Let I ⊂ R be an open interval and F : R3 × I → R be a continuous function with, F (0, 0, 0, x) = 0, for all x ∈ I. We consider the following differential equations ... ...
RUS, Ioan A.
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Oscillatory behavior of a fifth-order differential equation with unbounded neutral coefficients
, 2023 The authors study the oscillatory behavior of solutions to a class of fifth-order differential equations with unbounded neutral coefficients. The results are obtained by a comparison with first-order delay differential equations whose oscillatory ...
ÖZDEMIR, Osman +3 more
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, 2023 In this paper, necessary and sufficient conditions are establish of the solutions to second-order delay differential equations of the form We consider two cases when fi(u)/uβ is non-increasing for β < γ, and non- decreasing for β > γ where β and γ ...
Shyam Sundar Santra +1 more
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On the uniform exponential stability of linear time‐delay systems
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 64, Page 3445-3467, 2004., 2004 This paper deals with the global uniform exponential stability independent of delay of time‐delay linear and time‐invariant systems subject to point and distributed delays for the initial conditions being continuous real functions except possibly on a set of zero measure of bounded discontinuities. It is assumed that the delay‐free system as well as an
M. de la Sen, Ningsu Luo
wiley +1 more source
On certain comparison theorems for half‐linear dynamic equations on time scales
Abstract and Applied Analysis, Volume 2004, Issue 7, Page 551-565, 2004., 2004 We obtain comparison theorems for the second‐order half‐linear dynamic equation [r(t)Φ(yΔ)]Δ+p(t)Φ(yσ)=0, where Φ(x) = |x|α−1sgn x with α > 1. In particular, it is shown that the nonoscillation of the previous dynamic equation is preserved if we multiply the coefficient p(t) by a suitable function q(t) and lower the exponent α in the nonlinearity Φ ...
Pavel Řehák
wiley +1 more source
On the discreteness of the spectra of the Dirichlet and Neumann p‐biharmonic problems
Abstract and Applied Analysis, Volume 2004, Issue 9, Page 777-792, 2004., 2004 We are interested in a nonlinear boundary value problem for (|u″|p−2u″)′′=λ|u|p−2u in [0, 1], p > 1, with Dirichlet and Neumann boundary conditions. We prove that eigenvalues of the Dirichlet problem are positive, simple, and isolated, and form an increasing unbounded sequence. An eigenfunction, corresponding to the nth eigenvalue, has precisely n − 1
Jiří Benedikt
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Oscillation for advanced differential equations with oscillating coefficients
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 33, Page 2109-2118, 2003., 2003 Some sufficient conditions are established for the oscillation of all solutions of the advanced differential equation x′(t) − p(t)x(t + τ) = 0, t ≥ t0, where the coefficient p(t) ∈ C([t0, ∞), R) is oscillatory, and τ is a positive constant.
Xianyi Li, Deming Zhu, Hanqing Wang
wiley +1 more source
On oscillatory second order nonlinear impulsive systems of neutral type
, 2020 In this work, the necessary and sufficient conditions for oscillation of a class of second order neutral impulsive systems are established and our impulse satisfies a discrete neutral nonlinear equation of similar type.
TRIPATHY, Arun Kumar +1 more
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