Results 161 to 170 of about 17,997 (206)

A Double Shooting Method for Two-Point Boundary Value Problems in Multibody Dynamics

Eichmeir P, Steiner W.
europepmc   +1 more source

Duality and implicit differential equations

Nonlinearity, 2000
Summary: The authors prove some duality results concerning various types of implicit differential equations \[ F\Biggl(x,y,{dy\over dx}\Biggr)= 0, \] where \(F\) is a smooth function. They show, for instance, that the well folded singularities are self-dual. The results are used to deduce some geometric properties of surfaces in 3-space.
Bruce, J.W., Tari, F.
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Theory of Nonlinear Implicit Fractional Differential Equations

Differential Equations and Dynamical Systems, 2016
In this paper, the authors study existence, interval of existence, uniqueness and continuous dependence of solutions on initial conditions of the implicit fractional differential equation of the form \[^cD^{\alpha}x(t)= f(t,x(t),^cD^{\alpha}x(t)),\ \ \ x(0) = x_0 \in \mathbb{R}, t \in [0, T], \] where \(^cD^{\alpha} \ (0
Kishor D Kucche, Juan J Nieto, Kucche Kishor D   +2 more
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On Implicit Ordinary Differential Equations

IMA Journal of Numerical Analysis, 1984
A geometric analysis of the problem \(f(x,y,y')=0\) is given which may be of value in developing numerical methods for solution near the singular points where \(fy'=0\). In particular, the approach here shows problems of switching branches when computing numerically a solution near an envelope, as noted by \textit{L. Fox} and \textit{D. F.
A. JEPSON, A. SPENCE
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On a Control Problem for a System of Implicit Differential Equations

Дифференциальные уравнения, 2023
We consider the differential inclusion F(t,x,x˙)∋0 with the constraint x˙(t)∈B(t), t∈[a,b], on the derivative of the unknown function, where F and B are set-valued mappings, F:[a,b]×Rn×Rn×Rm⇉ is superpositionally measurable, and B:[a,b]⇉Rn is measurable.
Zhukovskiy, E. S., Serova, I. D.
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Computing Validated Solutions of Implicit Differential Equations

Advances in Computational Mathematics, 2003
The authors study the numerical analysis of Taylor model methods to solve explicit and implicit ordinary differential equations including validation. The proposed methods rewrite the original problem first as an integro-differential equation and, finally, as fixed-point problem in an appropriate function space. The validation of the result then appears
Jens Hoefkens, Martin Berz, Kyoko Makino
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Integrability of implicit differential equations

Journal of Physics A: Mathematical and General, 1995
Summary: The problem of integrability of differential equations is discussed. Examples and integrability criteria are given. An algorithm for extracting the integrable part of an implicit differential equation is formulated. A procedure for generating a class of submanifolds of the cotangent bundle is defined. This procedure is then used for generating
G. Mendella, MARMO, GIUSEPPE, W. M. Tulczyjew   +2 more
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Quadratures for Implicit Differential Equations

SIAM Journal on Numerical Analysis, 1970
Quadrature methods are used to obtain numerical solutions of certain systems of implicit differential equations. Development of the methods leads to an extension of an existence theorem for implicit differential equations. Several examples indicate the range of application of the methods.
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Bifurcations of implicit differential equations

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2000
In this paper we give a local classification of the integral curves of implicit differential equations where F is a smooth function and p = dy/dx, at points where Fp = 0, Fpp ≠ 0 and where the discriminant {(x, y) : F = Fp = 0} has a Morse singularity.
Bruce, J.W., Fletcher, G., Tari, F.
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Implicitization of Partial Differential Rational Parametric Equations

Journal of Systems Science and Complexity, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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