Results 11 to 20 of about 1,048 (181)
STABILITY OF NONLINEAR DYNAMICAL SYSTEM MOTION UNDER CONSTANTLY ACTING PERTURBATIONS [PDF]
Научно-технический вестник информационных технологий, механики и оптики, 2019 We consider the motion of a mechanical system with several degrees of freedom near zero of the phase space of states under conditions of constantly acting small perturbations. The generalized forces are represented in the dynamic equations by homogeneous
V. G. Melnikov +3 more
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Helmoltz problem for the Riccati equation from an analogous Friedmann equation
European Physical Journal C: Particles and Fields, 2022 We report a solution of the inverse Lagrangian problem for the first order Riccati differential equation by means of an analogy with the Friedmann equation of a suitable Friedmann–Lemaître–Robertson–Walker universe in general relativity.
Valerio Faraoni
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Local estimates for modified Riccati equation in theory of half-linear differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper we study the half-linear differential equation \begin{equation*} \bigl(r(t)\Phi_p(x')\bigr)'+c(t)\Phi_p(x)=0, \end{equation*} where $\Phi_p(x)=|x|^{p-2}x$, $p>1$. Using modified Riccati technique and suitable local estimates for terms
Simona Fišnarová, Robert Marik
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Generalized symmetries, first integrals, and exact solutions of chains of differential equations [PDF]
Open Communications in Nonlinear Mathematical Physics, 2021 New integrability properties of a family of sequences of ordinary differential equations, which contains the Riccati and Abel chains as the most simple sequences, are studied.
C. Muriel, M. C. Nucci
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A Simple Approach for the Fractal Riccati Differential Equation [PDF]
Journal of Applied and Computational Mechanics, 2021 In this paper, a fractal modification of the Riccati differential equation is presented, and the two-scale transform method combined with Taylor series is used to solve the equation.
Kang-Jia Wang
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Advances in Difference Equations, 2017 We apply the Chebyshev polynomial-based differential quadrature method to the solution of a fractional-order Riccati differential equation. The fractional derivative is described in the Caputo sense.
Jianhua Hou, Changqing Yang
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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.
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On a complex differential Riccati equation [PDF]
Journal of Physics A: Mathematical and Theoretical, 2008 We consider a nonlinear partial differential equation for complex-valued functions which is related to the two-dimensional stationary Schrodinger equation and enjoys many properties similar to those of the ordinary differential Riccati equation as, e.g., the famous Euler theorems, the Picard theorem and others.
Khmelnytskaya, Kira V. +1 more
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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
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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 +2 more
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