Results 11 to 20 of about 387,114 (225)
Meromorphic solutions of nonlinear ordinary differential equations [PDF]
, 2010 Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan +52 more
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Mathematical Biosciences and Engineering, 2022 We study symmetry reductions of nonlinear partial differential equations that can be used for describing diffusion processes in heterogeneous medium. We find ansatzes reducing these equations to systems of ordinary differential equations.
Ivan Tsyfra , Wojciech Rzeszut
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Decomposition of ordinary differential equations
Bulletin of Mathematical Sciences, 2017 Decompositions of linear ordinary differential equations (ode’s) into components of lower order have successfully been employed for determining their solutions. Here this approach is generalized to nonlinear ode’s. It is not based on the existence of Lie
Fritz Schwarz
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On some dynamical reconstruction problems for a nonlinear system of the second-order [PDF]
Opuscula Mathematica, 2010 The problem of reconstruction of unknown characteristics of a nonlinear system is considered. Solution algorithms stable with respect to the informational noise and computational errors are specified. These algorithms are based on the method of auxiliary
Marina Blizorukova, Vyacheslav Maksimov
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An Optimal Control Problem by a Hybrid System of Hyperbolic and Ordinary Differential Equations
Games, 2021 This paper deals with an optimal control problem for a linear system of first-order hyperbolic equations with a function on the right-hand side determined from controlled bilinear ordinary differential equations. These ordinary differential equations are
Alexander Arguchintsev +1 more
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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Polynomial Time corresponds to Solutions of Polynomial Ordinary Differential Equations of Polynomial Length [PDF]
, 2016 We provide an implicit characterization of polynomial time computation in terms of ordinary differential equations: we characterize the class $\operatorname{PTIME}$ of languages computable in polynomial time in terms of differential equations with ...
Bournez, Olivier +2 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. There is no problem in finding a general solution to the ordinary differential Clairaut equation. The corresponding procedure is described in details in the theory of ordinary differential equations.
L. A. Zhidova
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Data-Centric Engineering, 2022 The dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes.
Zhilu Lai +5 more
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Integrability and explicit solutions in some Bianchi cosmological dynamical systems [PDF]
, 2000 The Einstein field equations for several cosmological models reduce to polynomial systems of ordinary differential equations. In this paper we shall concentrate our attention to the spatially homogeneous diagonal G_2 cosmologies.
Chavarriga J +10 more
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