Oscillatory Criteria for Higher Order Functional Differential Equations with Damping
Journal of Function Spaces and Applications, 2013 We investigate a class of higher order functional differential equations with damping. By using a generalized Riccati transformation and integral averaging technique, some oscillation criteria for the differential equations are established.
Peiguang Wang, Hai Cai
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Oscillation of Solutions to Third-Order Nonlinear Neutral Dynamic Equations on Time Scales
Mathematics, 2021 In this paper, we are concerned with the oscillation of solutions to a class of third-order nonlinear neutral dynamic equations on time scales. New oscillation criteria are presented by employing the Riccati transformation and integral averaging ...
Yang-Cong Qiu +4 more
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Oscillatory behavior of second-order damped differential equations with a superlinear neutral term [PDF]
Opuscula Mathematica, 2020 This article concerns the oscillatory behavior of solutions to second-order damped nonlinear differential equations with a superlinear neutral term. The results are obtained by a Riccati type transformation as well as by an integral criterion.
Ercan Tunç, Osman Özdemir
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Forced oscillation of second order nonlinear dynamic equations on time scales
Electronic Journal of Qualitative Theory of Differential Equations, 2008 By means of the Kartsatos technique and generalized Riccati transformation techniques, we establish some new oscillation criteria for a second order nonlinear dynamic equations with forced term on time scales in terms of the coefficients.
M. Huang, W. Feng
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The Darboux-like transform and some integrable cases of theq-Riccati equation [PDF]
Journal of Physics A: Mathematical and General, 2002 11 pages ...
Odzijewicz, Anatol, Ryżko, Alina
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Riccati transformation and nonoscillation criterion for linear difference equations
Proceedings of the American Mathematical Society, 2020 We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward nonoscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly.
Fujimoto, Kōdai +2 more
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Oscillation criteria for nonlinear fractional differential equation with damping term
Open Physics, 2016 In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa +2 more
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Oscillation of fractional order functional differential equations with nonlinear damping
Open Physics, 2015 In this paper, we are concerned with the oscillatory behavior of a class of fractional differential equations with functional terms. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Bayram Mustafa +2 more
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Oscillation Behavior of a Class of Second-Order Dynamic Equations with Damping on Time Scales
Discrete Dynamics in Nature and Society, 2010 By using a Riccati transformation and inequality, we present some new oscillation theorems for the second-order nonlinear dynamic equation with damping on time scales. An example illustrating the importance of our results is also included.
Weisong Chen +3 more
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Some New Oscillation Criteria for Second Order Neutral Differential Equations with Delayed Arguments
Mathematics, 2019 In this paper, we study the oscillation of second-order neutral differential equations with delayed arguments. Some new oscillatory criteria are obtained by a Riccati transformation. To illustrate the importance of the results, one example is also given.
Omar Bazighifan, Clemente Cesarano
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