Results 91 to 100 of about 1,010 (188)

Oscillatory criteria of noncanonical even-order differential equations with a superlinear neutral term

open access: yesBoundary 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
doaj   +1 more source

Efficient Numerical Method for Solving a Quadratic Riccati Differential Equation

open access: yesAbstract 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   +3 more
doaj   +1 more source

Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping

open access: yesAbstract 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
doaj   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

open access: yesElectronic 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  

An exponential spline for solving the fractional riccati differential equation

open access: yesپژوهش‌های 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
doaj  

Asymptotic behavior of second-order impulsive differential equations

open access: yesElectronic 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
doaj  

Analyzing the diversity of wave profiles to the stochastic Davey-Stewartson equation: Application in the hydrodynamics engineering

open access: yesAin Shams Engineering Journal
This study investigates the stochastic Davey-Stewartson system with multiplicative noise, an important high-order nonlinear partial differential equation, within Ito calculus framework.
Jan Muhammad   +3 more
doaj   +1 more source

Fractional dynamics and optical soliton propagation in mono-mode fibers via the Fokas system. [PDF]

open access: yesSci Rep
Iqbal N   +5 more
europepmc   +1 more source

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