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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.
Janusz Migda, Malgorzata Migda
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The Existence of Nonoscillatory Solutions of Higher Order Nonlinear Neutral Equations [PDF]
Applied Mathematics Letters, 2012 In this work, we consider the existence of nonoscillatory solutions of variable coefficient higher order nonlinear neutral differential equations. Our results include as special cases some well-known results for linear and nonlinear equations of first ...
Tuncay Candan
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Existence of Nonoscillatory Solutions for System of Higher Order Neutral Differential Equations [PDF]
Mathematical and Computer Modelling, 2013 In this article, we consider the existence of nonoscillatory solutions for the systems of higher order neutral differential equations. We use the Banach contraction principle to present new sufficient conditions for the existence of nonoscillatory ...
Tuncay Candan
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On Existence of Nonoscillatory Solutions to Quasilinear Differential Equations
Georgian Mathematical Journal, 2007Abstract Sufficient conditions are established for the existence of nonoscillatory solutions to a quasilinear ordinary differential equation of higher order. For the equation with a positive potential, a criterion is established for the existence of nonoscillatory solutions with nonzero limit at infinity.
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Nonoscillatory solutions of second order nonlinear difference equations
Applied Mathematics and Computation, 2008A class of second order nonlinear difference equations with positive coefficients is considered. Sufficient conditions are given for the existence of nonoscillatory solutions.
Shuming Chen, Chenshun Li
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Nonoscillatory Solutions of a Second-Order Nonlinear Discrete System
Applied Mathematics and Computation, 2007The paper deals with the coupled nonlinear difference system \[ \begin{cases}\Delta(\Phi_{\alpha}(\Delta x_k))=-\varphi_k f(y_{k+1}),\\ \Delta(\Phi_{\beta}(\Delta y_k))=\psi_k g(x_{k+1}),\end{cases}\leqno(S) \] where \(\Delta\) is the forward operator defined by \(\Delta x_k=x_{k+1}-x_k\), \(\Phi_{\lambda}(u)=| u| ^{\lambda-1}\text{sgn} \,u\), with ...
Serena Matucci, Pavel Rehak
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Nonlinear Analysis: Theory, Methods & Applications, 2008 For a class of n-th order nonlinear neutral differential equations, sufficient conditions for all nonoscillatory solutions to satisfy lim(t) (->+infinity) t(1-n)x(t) = a are established.
Yuriy V Rogovchenko
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NONOSCILLATORY SOLUTIONS FOR EMDEN-FOWLER TYPE DIFFERENCE EQUATIONS
Difference Equations, Special Functions and Orthogonal Polynomials, 2007Using certain summation inequalities, the coexistence of various types of nonoscillatory solutions for an Emden-Fowler type difference equation is investigated. Discrepancies between discrete and continuous cases are pointed out as well.
CECCHI, MARIELLA +3 more
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Existence of Nonoscillatory Solutions for Fractional Functional Differential Equations
Bulletin of the Malaysian Mathematical Sciences Society, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhou, Yong +2 more
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Nonoscillatory bounded solutions of neutral differential systems
Nonlinear Analysis: Theory, Methods & Applications, 2008The authors investigate the existence of a nonoscillatory bounded solution to a nonlinear neutral differential system.
Hanuštiaková, Ľubica, Olach, Rudolf
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