Nonoscillatory solutions for super-linear Emden-Fowler type dynamic equations on time scales [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2015 In this paper, we consider the following Emden-Fowler type dynamic equations on time scales \begin{equation*} \big(a(t)|x^\Delta(t)|^\alpha \operatorname{sgn} x^\Delta(t)\big)^\Delta+b(t)|x(t)|^\beta \operatorname{sgn}x(t)=0, \end{equation*} when ...
Hui Li, Zhenlai Han, Yizhuo Wang
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Nonoscillatory Solutions for System of Neutral Dynamic Equations on Time Scales [PDF]
The Scientific World Journal, 2014 We will discuss nonoscillatory solutions to the n-dimensional functional system of neutral type dynamic equations on time scales. We will establish some sufficient conditions for nonoscillatory solutions with the property limt→∞xit=0, i=1, 2, …,n.
Zhanhe Chen +3 more
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Effect of nonlinear perturbations on second order linear nonoscillatory differential equations [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2010 The aim of this paper is to show that any second order nonoscillatory linear differential equation can be converted into an oscillating system by applying a sufficiently large nonlinear perturbation.
Akihito Shibuya, T. Tanigawa
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Nonoscillatory solutions of the four-dimensional difference system
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We study asymptotic properties of nonoscillatory solutions for a four-dimensional system \[\begin{aligned} \Delta x_{n}&= C_{n}\, y_{n}^{\frac{1}{\gamma}} \\ \Delta y_{n}&= B_{n}\, z_{n}^{\frac{1}{\beta}} \\ \Delta z_{n}&= A_{n}\, w_{n}^{\frac{1}{\alpha}}
Zuzana Dosla, J. Krejčová
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Nonoscillatory half-linear difference equations and recessive solutions
Advances in Difference Equations, 2005 Recessive and dominant solutions for the nonoscillatory half-linear difference equation are investigated. By using a uniqueness result for the zero-convergent solutions satisfying a suitable final condition, we prove that recessive solutions are the ...
Došlá Zuzana +2 more
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On a class of fourth-order nonlinear difference equations
Advances in Difference Equations, 2004 We consider a class of fourth-order nonlinear difference equations. The classification of nonoscillatory solutions is given. Next, we divide the set of solutions of these equations into two types: F+- and F−-solutions.
Ewa Schmeidel +2 more
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On nonoscillatory solutions of differential inclusions [PDF]
Proceedings of the American Mathematical Society, 2002 This paper introduces a nonoscillatory theory for differential inclusions based on fixed point theory for multivalued maps.
Agarwal, R.P., Grace, S.R., O'Regan, D.
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On the Growth of Nonoscillatory Solutions for Difference Equations with Deviating Argument
Advances in Difference Equations, 2008 The half-linear difference equations with the deviating argument Δ(an|Δxn|αsgn Δxn)+bn|xn+q|αsgn xn+q=0 , q ∈ ℤ are considered.
M. Marini +2 more
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Nonoscillatory Solutions to Second-Order Neutral Difference Equations [PDF]
Symmetry, 2018 We study asymptotic behavior of nonoscillatory solutions to second-order neutral difference equation of the form: Δ ( r n Δ ( x n + p n x n − τ ) ) = a n f ( n , x n ) + b n . The obtained results are based on the discrete Bihari type lemma and a Stolz type lemma.
Migda, Małgorzata, Migda, Janusz
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Nonoscillatory Solutions to Higher-Order Nonlinear Neutral Dynamic Equations [PDF]
Symmetry, 2019 For a class of nonlinear higher-order neutral dynamic equations on a time scale, we analyze the existence and asymptotic behavior of nonoscillatory solutions on the basis of hypotheses that allow applications to equations with different integral convergence and divergence of the reciprocal of the coefficients.
Yang-Cong Qiu +3 more
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