Results 31 to 40 of about 19,415 (207)

Hamiltonians with Riesz Bases of Generalised Eigenvectors and Riccati Equations [PDF]

, 2010
An algebraic Riccati equation for linear operators is studied, which arises in systems theory. For the case that all involved operators are unbounded, the existence of infinitely many selfadjoint solutions is shown. To this end, invariant graph subspaces
Wyss, Christian
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Riccati Differential Equation for Hypergeometric Differential Equation

Rendiconti del Seminario Matematico della Università di Padova, 2012
In this paper, we study the solutions of Riccati differential equation corresponding to p -adic differential equations which are solvable on the generic disc.
openaire   +2 more sources

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
doaj   +1 more source

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

Nonlinear Neutral Delay Differential Equations of Fourth-Order: Oscillation of Solutions

Entropy, 2021
The objective of this paper is to study oscillation of fourth-order neutral differential equation. By using Riccati substitution and comparison technique, new oscillation conditions are obtained which insure that all solutions of the studied equation are
Ravi P. Agarwal, Omar Bazighifan, Maria Alessandra Ragusa   +2 more
doaj   +1 more source

Penerapan Metode Sweep Pada Masalah Permainan Dinamis Linear Kuadratik Sistem Deskriptor [PDF]

, 2014
This paper describes the applications of sweep method in constructing a Riccati differential equation arising in the linear quadratic differential game for descriptor systems. This equation is needed in order to find the saddle-point equilibria that be a
Musthofa, M. W. (Muhammad)
core   +2 more sources

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

Nonlinear boudary value problem in the case of parametric resonance [PDF]

Компьютерные исследования и моделирование, 2015
We construct necessary and sufficient conditions for the existence of solution of seminonlinear matrix boundary value problem for a parametric excitation system of ordinary differential equations.
Sergey Mikhaylovich Chujko, O. V. Nesmelova (Starkova), D. V. Sysoev   +2 more
doaj   +1 more source

Dynamical Studies of Equations from the Gambier Family [PDF]

, 2011
We consider the hierarchy of higher-order Riccati equations and establish their connection with the Gambier equation. Moreover we investigate the relation of equations of the Gambier family to other nonlinear differential systems.
Choudhury, Anindya Ghose, Grammaticos, Basil, Guha, Partha   +2 more
core   +5 more sources

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