On the Asymptotic Behavior of the Nonoscillatory Solutions of Differential Equations with Deviating Arguments [PDF]
Mathematische Nachrichten, 1983 Mathematische ...
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Existence Of Nonoscillatory Solutions Of Some Higher Order Difference Equations ∗
, 2003 We consider the linear difference equation ∆ m xn + δanxn+1 =0 where m ≥ 2, δ = ±1 and{an} is a positive real sequence. We study the existence of its nonoscillatory solutions.
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MathematicsThis paper aims to study the asymptotic properties of nonoscillatory solutions (eventually positive or negative) of a class of third-order canonical neutral differential equations.
Hail S. Alrashdi +4 more
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On oscillatory behavior of two-dimensional time scale systems
Advances in Difference Equations, 2018 This paper deals with long-time behaviors of nonoscillatory solutions of a system of first-order dynamic equations on time scales. Some well-known fixed point theorems and double improper integrals are used to prove the main results.
Özkan Öztürk
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Oscillation and non-oscillation of some neutral differential equations of odd order
International Journal of Mathematics and Mathematical Sciences, 1992 An existence criterion for nonoscillatory solution for an odd order neutral differential equation is provided. Some sufficient conditions are also given for the oscillation of solutions of some nth order equations with nonlinearity in the neutral term.
B. S. Lalli, B. G. Zhang
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Oscillatory and asymptotic behaviour of higher order difference equations
Le Matematiche, 1997 This paper is concerned with the oscillation and asymptotic behaviour of nonoscillatory solutions of nonlinear difference equation of a particular form.
Błażej Szmanda
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Nonoscillatory solutions of higher order delay equations
Journal of Mathematical Analysis and Applications, 1980 where f is a continuous real valued function for f > 0 and x E R such that f(t, x) is nondecreasing in x for fixed t, and xf(t, x) > 0 if x # 0. The delay function g(t) is continuous and satisfies g(t) to in that it satisfies for r>, t, x(t)x”‘(t) > 0 for i = 0, l,..., I, and (-1)“’ ‘x(t)x”‘(t) < 0, i = 1 + 1, I + 2 ,..., n.
Foster, K.E, Grimmer, R.C
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NONOSCILLATORY SOLUTIONS FOR NONLINEAR DISCRETE SYSTEMS
, 2002 We investigate some asymptotic properties of a nonlinear forced difference system In particular we give necessary and sufficient conditions for existence of the so-called regularly decaying solutions and thereby we complete the results presented in ["New Progress in Difference Equations'', 2004 , pp.493-500, CRC Press, Boca Raton].
MARINI, MAURO, MATUCCI, SERENA, P. REHAK
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Existence of nonoscillatory solutions of first and second order neutral differential equations with distributed deviating arguments [PDF]
, 2010 In this paper, we consider the existence of nonoscillatory solutions of variable coefficient first and second-order linear neutral differential equations with distributed deviating arguments.
Candan, T. +3 more
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Asymptotic properties of nonoscillatory solutions of higher order neutral difference equations [PDF]
Opuscula Mathematica, 2006 In this paper we study asymptotic behavior of solutions of a higher order neutral difference equation of the form \[\Delta^m(x_n+p_nx_{n-\tau})+f(n,x_{\sigma (n)})=h_n.\] We present conditions under which all nonoscillatory solutions of the above ...
Małgorzata Migda
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