Oscillation criteria and growth of nonoscillatory solutions of higher order differential equations
, 1982 We look for conditions under which all solutions of the nonlinear ordinary differential equation y(n) + f(t, y) = 0, t ⩾ 0, −∞ < y < ∞, are oscillatory, as well as consider the asymptotic behaviour of the nonoscillatory ...
Leizarowitz, A, Bareket, M
core +1 more source
Nonoscillatory Solutions of Second-Order Superlinear Dynamic Equations with Integrable Coefficients [PDF]
, 2012 The asymptotic behavior of nonoscillatory solutions of the superlinear dynamic equation on time scales (()Δ())Δ+()|(())|sgn(())=0, >1, is discussed under the condition that ()=lim→∞∫()Δ exists and ()≥0 for large
Baoguo Jia, Quanwen Lin, Quanwen Lin
core +1 more source
NONOSCILLATORY SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH OSCILLATING COEFFICIENTS
Demonstratio Mathematica, 1992 Nonoscillatory solutions of delay differential equations with oscillatory coefficients of the form \[ y'(t)+P_ 0(t)y(t)+\sum_{i=1}^ n P_ i(t)y(t-T_ i(t))=0\tag{1} \] are considered. The main results are: Theorem 1. Consider differential equation (1), where \(P_ 0(t)\), \(P_ i(t)\) and \(T_ i(t)\) are continuous functions such that \(| P_ 0(t)|\leq P_ 0\
openaire +2 more sources
Strongly Oscillatory and Nonoscillatory Subspaces of Linear Equations
, 1975 Consider the nth order linear equationand particularly the third order equationA nontrivial solution of (1)n is said to be oscillatory or nonoscillatory depending on whether it has infinitely many or finitely many zeros on [a, ∞).
J. Michael Dolan, Gene A. Klaasen
core +1 more source
Oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales [PDF]
, 2007 summary:In this paper we discuss the existence of oscillatory and nonoscillatory solutions for first order impulsive dynamic inclusions on time scales.
Henderson, Johnny +2 more
core +1 more source
Solvability of a Higher-Order Nonlinear Neutral Delay Difference Equation
Advances in Difference Equations, 2010 The existence of bounded nonoscillatory solutions of a higher-order nonlinear neutral delay difference equation , , where , , , and are integers, and are real sequences, , and is a mapping, is studied. Some sufficient conditions for the existence of
Liu Min, Guo Zhenyu
doaj
Qualitative properties of solutions of certain fourth order linear differential equations
International Journal of Mathematics and Mathematical Sciences, 1981 This work considers differential equations of the form (py″)′′+qy″+ry=0 where p,q and r are positive continuous functions defined on [0,∞). The main concentration is on the oscillatory and asymptotic behavior of the solutions.
W. E. Taylor
doaj +1 more source
Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach
Electronic Journal of Qualitative Theory of Differential Equations, 2018 In this paper an attempt is made to depict a clear picture of the overall structure of nonoscillatory solutions of the first order half-linear differential system \begin{equation*} x'-p(t)\varphi_{1/\alpha}(y)=0,\qquad y'+q(t)\varphi_{\alpha}(x)=0, \tag{
Jaroslav Jaroš +2 more
doaj +1 more source
On the number of zeros of bounded nonoscillatory solutions to higher-order nonlinear ordinary differential equations [PDF]
, 2007 summary:The higher-order nonlinear ordinary differential equation \[ x^{(n)} + \lambda p(t)f(x) = 0\,, \quad t \ge a\,, \] is considered and the problem of counting the number of zeros of bounded nonoscillatory solutions $x(t;\lambda )$ satisfying $\lim ...
Naito, Manabu
core +1 more source
Mini Review: A Note on Nonoscillatory Solutions for Higher Dimensional Time Scale Systems [PDF]
, 2018 In this paper, we focus on nonoscillatory solutions of two (2D) and three (3D) dimensional time scale systems and discuss nonexistence of such ...
Tiryaki, Ismail Ugur +3 more
core