Oscillatory behavior of second-order nonlinear neutral differential equations
Advances in Difference Equations, 2020 We shall consider a class of second-order nonlinear neutral differential equations. Some new oscillation criteria are established by using the Riccati transformation technique. One example is given to show the applicability of the main results.
Jun Liu, Xi Liu, Yuanhong Yu
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New oscillation results to fourth order delay differential equations with damping
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This paper is concerned with the oscillation of the linear fourth order delay differential equation with damping \begin{equation*} \left(r_3(t)\left(r_2(t)\left(r_1(t)y'(t)\right)'\right)'\right)'+p(t)y'(t)+q(t)y(\tau(t))=0 \end{equation*} under the ...
Jozef Džurina +2 more
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On higher-order Riccati equations as Bäcklund transformations
Journal of Physics A: Mathematical and General, 1999 Summary: We illustrate by few examples the special role played by higher-order Riccati equations in the construction of Bäcklund transformations for integrable systems.
Grundland AM, LEVI, Decio
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Lie and Riccati Linearization of a Class of Liénard Type Equations
Journal of Applied Mathematics, 2012 We construct a linearizing Riccati transformation by using an ansatz and a linearizing point transformation utilizing the Lie point symmetry generators for a three-parameter class of Liénard type nonlinear second-order ordinary differential equations ...
A. G. Johnpillai +2 more
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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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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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