Results 21 to 30 of about 1,048 (181)
Riccati differential equations with elliptic coefficients. II
Tohoku Mathematical Journal, 2000 In this paper, the authors consider the Riccati differential equation \[ w'+w^2+a\wp(z)=0, \] where \(\wp(z)\) is the Weierstrass \(\wp\)-function satisfying \[ (\wp')^2 = 4\wp^3 - b, b \neq 0 \] and \[ a = (1 - m^2)/4, m \geq 2, m \neq 6n. \] They show under these conditions that all solutions to the Riccati differential equation are meromorphic and ...
Ishizaki, Katsuya +3 more
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A Forgotten Differential Equation Studied by Jacopo Riccati Revisited in Terms of Lie Symmetries
Mathematics, 2021 In this paper we present a two parameter family of differential equations treated by Jacopo Riccati, which does not appear in any modern repertoires and we extend the original solution method to a four parameter family of equations, translating the ...
Daniele Ritelli
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Existence of Solutions of Riccati Differential Equations
Journal of Dynamic Systems, Measurement, and Control, 2012 A necessary condition for the existence of the solution of the Riccati differential equation for both linear, time varying systems and nonlinear systems is introduced. First, a necessary condition for the existence of the solution of the Riccati differential equation for linear, time varying systems is proposed.
Kilicaslan, Sinan, Banks, Stephen P.
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Advances in Mathematical Physics, 2013 A new method with a different auxiliary equation from the Riccati equation is used for constructing exact travelling wave solutions of nonlinear partial differential equations.
Bülent Kiliç, Hasan Bulut
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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.
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Oscillation criteria for perturbed half-linear differential equations
Electronic Journal of Qualitative Theory of Differential EquationsOscillatory 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
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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
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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 +2 more
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Approximate Analytical Solution for Quadratic Riccati Differential Equation [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 In this paper, we introduce an efficient method for solving the quadratic Riccati differential equation. In this technique, combination of Laplace transform and new homotopy perturbation methods (LTNHPM) are considered as an algorithm to the exact ...
H. Aminikhah
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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.
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