Results 21 to 30 of about 19,301 (215)

Generalized System of Riccati-Type Equations

EPJ Web of Conferences, 2018
A new system of generalized Riccati-type equations is derived. An interconnection between the solutions of n-th order differential equations and the solutions of a generalized system of Riccati-type equations is established.
Yamaleev Robert M.
doaj   +1 more source

Non-commutative NLS-type hierarchies: dressing & solutions [PDF]

, 2019
We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia, Findlay, Iain, Sklaveniti, Spyridoula   +2 more
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Numerical Approximation of Riccati Fractional Differential Equation in the Sense of Caputo-Type Fractional Derivative

Journal of Mathematics, 2020
The Riccati differential equation is a well-known nonlinear differential equation and has different applications in engineering and science domains, such as robust stabilization, stochastic realization theory, network synthesis, and optimal control, and ...
Xin Liu, Kamran, Yukun Yao
doaj   +1 more source

Construction of Minimax Control for Almost Conservative Controlled Dynamic Systems with the Limited Perturbations [PDF]

, 2017
The problem is considered for constructing a minimax control for a linear stationary controlled dynamical almost conservative system (a conservative system with a weakly perturbed coefficient matrix) on which an unknown perturbation with bounded energy ...
Svyatovets, I. (Iryna)
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Solusi Persamaan Diferensial Fraksional Riccati Menggunakan Adomian Decomposition Method dan Variational Iteration Method

Matematika, 2019
Abstrak. Pada umumnya orde dari persamaan diferensial adalah bilangan asli, namun orde pada persamaan diferensial dapat dibentuk menjadi orde pecahan yang disebut persamaan diferensial fraksional.
Muhamad Deni Johansyah, Herlina Napitupulu, Erwin Harahap, Ira Sumiati, Asep K. Supriatna   +4 more
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Solving of some nonlinear ordinary differential equations in the form of power series

Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022
In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva, I.K. Kirichenko, N.N. Chekanova   +2 more
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A New Method with a Different Auxiliary Equation to Obtain Solitary Wave Solutions for Nonlinear Partial Differential Equations

Advances in Mathematical Physics, 2013
A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations.
Bülent Kiliç, Hasan Bulut
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A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries

Mathematics, 2021
In this paper we present a two parameter family of differential equations treated by Jacopo Riccati, which does not appear in any modern repertoires and we extend the original solution method to a four parameter family of equations, translating the ...
Daniele Ritelli
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Oscillation criteria for perturbed half-linear differential equations

Electronic 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
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Perturbations of Half-Linear Euler Differential Equation and Transformations of Modified Riccati Equation

Abstract and Applied Analysis, 2012
We investigate transformations of the modified Riccati differential equation and the obtained results we apply in the investigation of oscillatory properties of perturbed half-linear Euler differential equation.
Ondřej Došlý, Hana Funková
doaj   +1 more source