Results 1 to 10 of about 19,394 (186)

Local estimates for modified Riccati equation in theory of half-linear differential equation [PDF]

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
doaj   +3 more sources

On a complex differential Riccati equation [PDF]

Journal of Physics A: Mathematical and Theoretical, 2007
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.,
Bernstein S, Bernstein S, Bers L, Bogdanov Y, Davis H, De Schepper N Peña D Brackx F, Hille E, Kamke E, Kira V Khmelnytskaya, Kravchenko V G, Kravchenko V G, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Kravchenko V V, Marchenko V, Matveev V, Mielnik B, Mielnik B, Novikov S P, Reid W, Samsonov B F, Tutschke W, Vekua I N, Vekua I N, Vladislav V Kravchenko, Watson G A   +28 more
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Approximate solution for quadratic Riccati differential equation

Journal of Taibah University for Science, 2017
The quadratic Riccati differential equations are a class of nonlinear differential equations of much importance, and play a significant role in many fields of applied science.
Fateme Ghomanjani, Esmaile Khorram
doaj   +3 more sources

Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory

Mathematics, 2023
The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative.
Jagdev Singh, Arpita Gupta, Devendra Kumar   +2 more
doaj   +3 more sources

Solutions for certain classes of Riccati differential equation

Journal of Physics A: Mathematical and Theoretical, 2007
We derive some analytic closed-form solutions for a class of Riccati equation y'(x)-\lambda_0(x)y(x)\pm y^2(x)=\pm s_0(x), where \lambda_0(x), s_0(x) are C^{\infty}-functions.
Ciftci H, Haaheim D R, Hakan Ciftci, Ince E L, Kamke E, Murphy G M, Nasser Saad, Polyanin A D, Prudnikov A P, Richard L Hall, Saad N   +10 more
core   +3 more sources

Syntheses of differential games and pseudo-Riccati equations

Abstract and Applied Analysis, 2002
For differential games of fixed duration of linear dynamical systems with nonquadratic payoff functionals, it is proved that the value and the optimal strategies as saddle point exist whenever the associated pseudo-Riccati equation has a regular solution
Yuncheng You
doaj   +5 more sources

Sensitivity of the Solution to Nonsymmetric Differential Matrix Riccati Equation

Mathematics, 2021
Nonsymmetric differential matrix Riccati equations arise in many problems related to science and engineering. This work is focusing on the sensitivity of the solution to perturbations in the matrix coefficients and the initial condition.
Vera Angelova, Mustapha Hached, Khalide Jbilou   +2 more
doaj   +1 more source

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order ? are presented graphically and table.
Hanalioğlu (Khaniyev), Tahir, Merdan, M.   +1 more
openaire   +2 more sources

Solution of Riccati equation

Lietuvos Matematikos Rinkinys, 2002
An analytical expression of general solution of Riccati equation is received. An analytical exp­ression of general solution of second-order differential linear equation is received by solving Riccati equation.
Kostas Ramutis Petrauskas, Ignas Skučas, Irena Petrauskienė, Antanas Būda   +3 more
doaj   +3 more sources

A Unified Grey Riccati Model

Axioms, 2022
The grey Riccati model (GRM) is a generalization of the grey Verhulst model (GVM). Both the GRM and GVM generally perform well in simulating and forecasting the raw sequences with a bell-shaped or single peak feature.
Ming-Feng Yeh, Ming-Hung Chang, Ching-Chuan Luo   +2 more
doaj   +1 more source