Results 1 to 10 of about 4,284 (195)
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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Bounded nonoscillatory solutions of neutral type difference systems
Electronic Journal of Qualitative Theory of Differential Equations, 2009 This paper deals with the existence of a bounded nonoscillatory solution of nonlinear neutral type difference systems. Examples are provided to illustrate the main results.
Ethiraju Thandapani +2 more
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New Criteria for Sharp Oscillation of Second-Order Neutral Delay Differential Equations
Mathematics, 2021 In this paper, new oscillation criteria for second-order half-linear neutral delay differential equations are established, using a recently developed method of iteratively improved monotonicity properties of a nonoscillatory solution. Our approach allows
Irena Jadlovská
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Oscillation and Asymptotic Behavior of Three-Dimensional Third-Order Delay Systems
International Journal of Differential Equations, 2023 In this paper, oscillation and asymptotic behavior of three-dimensional third-order delay systems are discussed. Some sufficient conditions are obtained to ensure that every solution of the system is either oscillatory or nonoscillatory and converges to ...
Ahmed Abdulhasan Naeif +1 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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Oscillation and Nonoscillatory Criteria of Higher Order Dynamic Equations on Time Scales
Mathematics, 2022 In this paper, we consider two universal higher order dynamic equations with several delay functions. We will establish two oscillatory criteria of the first equation and a sufficient and necessary condition for the second equation with a nonoscillatory ...
Ya-Ru Zhu +4 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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Nonoscillatory solutions for discrete equations
Computers & Mathematics with Applications, 2003 The authors consider the discrete equation \[ \Delta(a(k)\Delta(y(k)+ py(k-\tau)))+F(k+1,y(k+1-\sigma))=0 \quad (k\in{\mathbb N}), \] here \(\Delta\) is the difference operator, \(F\) is a continuous map from \({\mathbb N}\times (0,\infty)\) into \([0,\infty), \tau,\sigma\in{\mathbb N}\cup\{0\}, a:{\mathbb N}\to(0,\infty)\), and \(p\in{\mathbb R}\).
Agarwal, R.P., Grace, S.R., O'Regan, D.
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Nonoscillatory solutions of neutral delay differential equations [PDF]
Bulletin of the Australian Mathematical Society, 1993 Consider the following neutral delay differential equationwherep∈R,τ∈ (0, ∞), δ ∈R+= (0, ∞) and Q ∈ (C([t0, ∞),R). We show that ifthen Equation (*)has a nonoscillatory solution whenp≠ –1. We also deal in detail with a conjecture of Chuanxi, Kulenovic and Ladas, and Györi and Ladas.
Chen, Ming-Po, Yu, J. S., Wang, Z. C.
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