Results 71 to 80 of about 717 (185)

Oscillation of third-order neutral differential equations with damping and distributed delay

Advances in Difference Equations, 2019
The present paper focuses on the oscillation of the third-order nonlinear neutral differential equations with damping and distributed delay. The oscillation of the third-order damped equations is often discussed by reducing the equations to the second ...
Meihua Wei, Cuimei Jiang, Tongxing Li
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Riccati type transformations for second-order linear difference equations

Journal of Mathematical Analysis and Applications, 1981
AbstractOscillation and comparison theorems for a linear homogeneous second-order difference equation are proved by employing various equivalent non-linear equations obtained by means of transformations analogous to the Riccati transformation for ordinary differential equations.
Hooker, John W, Patula, William T
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Asymptotic behavior of second-order impulsive differential equations

Electronic Journal of Differential Equations, 2011
In this article, we study the asymptotic behavior of all solutions of 2-th order nonlinear delay differential equation with impulses. Our main tools are impulsive differential inequalities and the Riccati transformation.
Haifeng Liu, Qiaoluan Li
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Oscillation of solutions to impulsive dynamic equations on time scales

Electronic Journal of Differential Equations, 2009
In this article, we study the oscillation of second order impulsive dynamic equations on time scales. The effect of the moments of impulse are fixed.
Qiaoluan Li, Fang Guo
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Oscillation criteria of certain fractional partial differential equations

Advances in Difference Equations, 2019
In this article, we regard the generalized Riccati transformation and Riemann–Liouville fractional derivatives as the principal instrument. In the proof, we take advantage of the fractional derivatives technique with the addition of interval segmentation
Di Xu, Fanwei Meng
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Transformation of the Eilenberger Equations of Superconductivity to a Scalar Riccati Equation

, 1998
A new parametrisation of the Eilenberger equations of superconductivity in terms of the solutions to a scalar differential equation of the Riccati type is introduced. It is shown that the quasiclassical propagator, and in particular the local density of states, may be reconstructed, without explicit knowledge of any eigenfunctions and eigenvalues, by ...
openaire   +2 more sources

Oscillation for forced second-order nonlinear dynamic equations on time scales

Electronic Journal of Differential Equations, 2006
By means of Riccati transformation techniques, we present oscillation criteria for forced second-order nonlinear dynamic equations on time scales. These results are based on the information on a sequence of subintervals of $[a, infty)$ only, rather than ...
Weizhen Feng, Mugen Huang
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ON DETERMINATION OF SOLUTION OF UNILATERAL QUADRATIC MATRIX EQUATION

Міжнародний науково-технічний журнал "Проблеми керування та інформатики"
Usually used for finding the solutions of discrete algebraic Riccati equation, the method of doubling transformation is generalized on the case of unilateral quadratic matrix equation. On the examples, the efficiency of the offered algorithm of solution
V.B. Larin
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Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

Oscillation of second-order nonlinear impulsive dynamic equations on time scales

Electronic Journal of Differential Equations, 2007
In this article, we study the oscillation of second-order nonlinear impulsive dynamic equations on time scales. Using Riccati transformation techniques, we obtain sufficient conditions for oscillation of all solutions.
Mugen Huang, Weizhen Feng
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