Results 101 to 110 of about 19,415 (207)

Fite-Wintner-Leighton-Type Oscillation Criteria for Second-Order Differential Equations with Nonlinear Damping

Abstract and Applied Analysis, 2013
Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
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Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE

Electronic Journal of Differential Equations, 2010
A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami, Milivoj R. Belic, Nikola Z. Petrovic   +2 more
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Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term

Boundary Value Problems
The oscillatory behavior of solutions of an even-order differential equation with a superlinear neutral term is considered using Riccati and generalized Riccati transformations, the integral averaging technique, and the theory of comparison.
A. A. El-Gaber
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Riccati Differential Equations [PDF]

Journal of Dynamic Systems, Measurement, and Control, 1975
William T. Reid, David Jordan
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Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

Abstract and Applied Analysis
This study presents families of the fourth-order Runge–Kutta methods for solving a quadratic Riccati differential equation. From these families, the England version is more efficient than other fourth-order Runge–Kutta methods and practically well-suited
Wendafrash Seyid Yirga, Fasika Wondimu Gelu, Wondwosen Gebeyaw Melesse, Gemechis File Duressa   +3 more
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Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping

Abstract and Applied Analysis, 2009
All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. Novel Riccati type techniques involving third-order linear differential equations are employed. Implications in the deflection of elastic
Chengmin Hou, Sui Sun Cheng
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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
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An exponential spline for solving the fractional riccati differential equation

پژوهش‌های ریاضی, 2022
In this Article, proposes an approximation for the solution of the Riccati equation based on the use of exponential spline functions. Then the exponential spline equations are obtained and the differential equation of the fractional Riccati is ...
reza jalilian, hooman emadifar
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A computational solution for a Matrix Riccati differential equation

Numerische Mathematik, 1979
This paper is concerned with the solution of the finite time Riccati equation. The solution to the Riccati equation is given in terms of the partition of the transition matrix. Matrix differential equations for the partition of the transition matrix are derived and are solved using computational methods.
openaire   +1 more source

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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