Results 31 to 40 of about 2,466,055 (210)
Solving of some nonlinear ordinary differential equations in the form of power series
Физико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022 In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva +2 more
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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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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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On solving discrete-time periodic Riccati equations [PDF]
, 2005 Two numerically reliable algorithms to compute the periodic nonnegative definite stabilizing solution ofdiscrete-time periodic Riccati equations are proposed.
A. Varga, Varga, Andras
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