Results 71 to 80 of about 1,524 (185)
Almost Automorphy and Riccati Equation [PDF]
Differential Equations and Dynamical Systems, 2016 11 ...
openaire +3 more sources
Oscillation of third-order neutral differential equations with damping and distributed delay
Advances in Difference Equations, 2019 The present paper focuses on the oscillation of the third-order nonlinear neutral differential equations with damping and distributed delay. The oscillation of the third-order damped equations is often discussed by reducing the equations to the second ...
Meihua Wei, Cuimei Jiang, Tongxing Li
doaj +1 more source
Lie and Riccati Linearization of a Class of Liénard Type Equations
Journal of Applied Mathematics, 2012 We construct a linearizing Riccati transformation by using an ansatz and a linearizing point transformation utilizing the Lie point symmetry generators for a three-parameter class of Liénard type nonlinear second-order ordinary differential equations ...
A. G. Johnpillai +2 more
doaj +1 more source
A note on the Riccati differential equation
Journal of Mathematical Analysis and Applications, 2003 The author presents some results for the Riccati differential equation \(u'=A(z)+u^2\) with nonentire meromorphic functions \(A(z)\). He also presents some examples to illustrate some of this results.
openaire +1 more source
The Two Modified G′G-Expansion Methods for Obtaining Solitons of the Korteweg-De Vries Equation
Advances in Mathematical PhysicsThe Korteweg-de Vries (KdV) equation plays an important role in describing the propagation of water waves in shallow channels. Several analytical methods, such as tanh-function methods (TFMs), exponential function method, and Jacobi elliptic function ...
Emmanuel Mensah +3 more
doaj +1 more source
A Note on the Riccati Differential Equation
Journal 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
On one method of construction of symmetry operator C (in Ukrainian) [PDF]
Математичні Студії, 2012 The new method of construction of symmetry operator C, which is one of the principal notions of the pseudo-Hermitian quantum mechanics, is proposed. The method is based on solving Riccati operator equations.
V. I. Sudilovskaya
doaj
Planar nonautonomous polynomial equations: The Riccati equation
Journal of Differential Equations, 2008 The problem on the existence of \(T\)-periodic solutions of Riccati equations of the form \[ \dot z=a(t)z^2+b(t)z+c(t) \] in the complex plane, where \(a\), \(b\), and \(c\) are \(T\)-periodic, is considered. The main theorems present results on the existence of two such solutions.
openaire +3 more sources
Meromorphic solutions to difference Painleve equations I and II
Electronic 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
RADI: a low-rank ADI-type algorithm for large scale algebraic Riccati equations. [PDF]
Numer Math (Heidelb), 2018 Benner P +3 more
europepmc +1 more source