Results 21 to 30 of about 345,070 (184)

Approximate Solution of Riccati Differential Equation via Modified Greens Decomposition Method

open access: yes, 2020
Riccati differential equations (RDEs) plays important role in the various fields of defence, physics, engineering, medical science, and mathematics. A new approach to find the numerical solution of a class of RDEs with quadratic nonlinearity is presented
A. Ujlayan, Mohit Arya
semanticscholar   +1 more source

Optimal sliding mode controllers for attitude tracking of spacecraft [PDF]

open access: yes, 2009
This paper studies two optimal sliding mode control laws using integral sliding mode control (ISM) for some spacecraft attitude tracking problems. Integral sliding mode control combining the first order sliding mode and optimal control is applied to ...
Pukdeboon, C., Zinober, A.S.I.
core   +1 more source

Construction of Exact Solutions to Partial Differential Equations with CRE Method

open access: yesCommunications in Advanced Mathematical Sciences, 2019
In this article, the consistent Riccati expansion (CRE) method is presented for constructing new exact solutions of (1+1) dimensional nonlinear dispersive modified Benjamin Bona Mahony (DMBBM) and mKdV-Burgers equations.
Arzu Akbulut, Filiz Taşcan
doaj   +1 more source

The calculation of expectations for classes of diffusion processes by Lie symmetry methods [PDF]

open access: yes, 2009
This paper uses Lie symmetry methods to calculate certain expectations for a large class of It\^{o} diffusions. We show that if the problem has sufficient symmetry, then the problem of computing functionals of the form $E_x(e^{-\lambda X_t-\int_0^tg(X_s)
Craddock, Mark, Lennox, Kelly A.
core   +1 more source

Exact travelling wave solutions for nonlinear system of spatiotemporal fractional quantum mechanics equations

open access: yesAlexandria Engineering Journal, 2022
Schrödinger equation is an indispensable model for quantum mechanics, used for modelling several fascinating complex nonlinear physical systems, such as quantum condensates, nonlinear optics, hydrodynamics, shallow-water waves, and the harmonic ...
Mohammed Alabedalhadi
doaj   +1 more source

Morse potential energy spectra through the variational method and supersymmetry [PDF]

open access: yes, 1999
The Variational Method is applied within the context of Supersymmetric Quantum Mechanics to provide information about the energy and eigenfunction of the lowest levels of a Hamiltonian.
Bag   +18 more
core   +2 more sources

On Constants in Nonoscillation Criteria for Half-Linear Differential Equations

open access: yesAbstract and Applied Analysis, 2011
We study the half-linear differential equation (r(t)Φ(x′))′+c(t)Φ(x)=0, where Φ(x)=|x|p−2x, p>1. Using the modified Riccati technique, we derive new nonoscillation criteria for this equation.
Simona Fišnarová, Robert Mařík
doaj   +1 more source

Integral Comparison Criteria for Half-Linear Differential Equations Seen as a Perturbation

open access: yesMathematics, 2021
In this paper, we present further developed results on Hille–Wintner-type integral comparison theorems for second-order half-linear differential equations.
Zuzana Pátíková
doaj   +1 more source

Half-linear Euler differential equation and its perturbations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We investigate oscillatory properties of perturbed half-linear Euler differential equation. We give an alternative proof (simpler and more straightforward) of the main result of [O. Došlý, H. Funková, Abstr. Appl. Anal. 2012, Art. ID 738472] and we prove
Ondrej Dosly
doaj   +1 more source

Oscillation criteria for perturbed half-linear differential equations

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
Oscillatory properties of perturbed half-linear differential equations are investigated. We make use of the modified Riccati technique. A certain linear differential equation associated with the modified Riccati equation plays an important part. Improved
Manabu Naito
doaj   +1 more source

Home - About - Disclaimer - Privacy