Results 91 to 100 of about 1,223,896 (216)

Approximate analytical solutions of distributed order fractional Riccati differential equation

open access: yesAin Shams Engineering Journal, 2018
In this paper, the combined Laplace transform and new homotopy perturbation method is employed for solving a special class of the distributed order fractional Riccati equation.
Hossein Aminikhah   +2 more
doaj   +1 more source

Differential inequalities and the matrix Riccati equation [PDF]

open access: yes, 2016
The matrix Riccati equation has attracted attention recently because of its occurrence in a number of different situations. Its solutions determine solutions of the optimal linear regulator problem; the existence of solutions on an interval is related to
Stokes, Alan Nicholas
core   +1 more source

A Note on the Riccati Differential Equation

open access: yesJournal of Mathematical Analysis and Applications, 1995
The author treats the Riccati differential equation \[ w'= a(z)+ b(z) w+ c(z) w^ 2,\tag{1} \] where \(z\), \(w\) are complex variables and \(a(z)\), \(b(z)\) and \(c(z)\) are meromorphic on the whole \(z\)-plane. It is known that by a suitable transformation (1) can be transformed into the form (2) \(w'= A(z)+ w^ 2\), where \(A(z)\) is meromorphic on ...
openaire   +1 more source

A Collocation Method for Solving Fractional Riccati Differential Equation

open access: yesJournal of Applied Mathematics, 2013
We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term.
Yalçın Öztürk   +3 more
doaj   +1 more source

The infinite-dimensional Riccati equation [PDF]

open access: yes, 1974
The infinite-dimensional versions of the linear quadratic cost control problem and of the linear filtering problem lead to an infinite-dimensional Riccati equation with unbounded operators.
Curtain, Ruth F, Pritchard, A.J
core   +1 more source

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  

Meromorphic solutions to difference Painleve equations I and II

open access: yesElectronic Journal of Differential Equations, 2016
In this article, we study the solutions of difference Painleve equations I and II. to do this, we first give some properties of solutions to difference Riccati equations.
Zhi-Tao Wen
doaj  

New interval oscillation criteria for second-order functional differential equations with nonlinear damping

open access: yesOpen Mathematics, 2015
This paper concerns the oscillation problem of second-order nonlinear damped ODE with functional terms.We give some new interval oscillation criteria which is not only based on constructing a lower solution of a Riccati type equation but also based on ...
Öǧrekçi Süleyman
doaj   +1 more source

General Solution of the Riccati Equation

open access: yes, 2022
Abstract By introducing an intermediate transition function, without any constraints, the general solution with multiple constant parameters to the Riccati equation is obtained by hypothesizing, which covers the solutions of second-order Bernoulli equation and first-order linear differential equation as its special cases.
openaire   +1 more source

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