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An explicit solution for the logistic map
, 1999
"... Abstract An explicit functional integral solution for the logistic map is presented. Furthermore, the discrete nature of this equation is used to explicitly calculate the corresponding RadonNikodym derivatives. This enables us to represent the solution as a multidimensional integral. ..."
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Abstract An explicit functional integral solution for the logistic map is presented. Furthermore, the discrete nature of this equation is used to explicitly calculate the corresponding RadonNikodym derivatives. This enables us to represent the solution as a multidimensional integral.
Explicit solutions of the Rand Equation
"... In this paper the meaning of a nonlinear partial differential equation (nPDE) of the thirdorder is shown to the first time. The equation is known as the ‘Rand Equation ’ and belongs to a class of less studied nPDEs. Both the explicit physical meaning as well as the behaviour is not known until now. ..."
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In this paper the meaning of a nonlinear partial differential equation (nPDE) of the thirdorder is shown to the first time. The equation is known as the ‘Rand Equation ’ and belongs to a class of less studied nPDEs. Both the explicit physical meaning as well as the behaviour is not known until now
Explicit Solutions for Queueing Problems
, 1997
"... this paper attention is focussed upon the equilibrium behavior of these models, rather then upon their timedependent behavior. The equilibrium distribution of a random walk on a grid is the solution of a set of equilibrium equations. These equations can be viewed as difference equations. In the the ..."
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this paper attention is focussed upon the equilibrium behavior of these models, rather then upon their timedependent behavior. The equilibrium distribution of a random walk on a grid is the solution of a set of equilibrium equations. These equations can be viewed as difference equations
An Explicit Solution for the Quaternionic Equation
"... AMS Mathematical Subject Classification: 11D09,15A06 Abstract. Though it is known that every nonconstant quaternionic polynomial with a unique highest term has a root, yet because of the noncommutativity of quaternions, it is rather difficult to find an explicit expression for the roots of a gener ..."
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AMS Mathematical Subject Classification: 11D09,15A06 Abstract. Though it is known that every nonconstant quaternionic polynomial with a unique highest term has a root, yet because of the noncommutativity of quaternions, it is rather difficult to find an explicit expression for the roots of a
Floating Bodies of Equilibrium. Explicit Solution
, 2006
"... Explicit solutions of the twodimensional floating body problem (bodies that can float in all positions) for relative density ρ ̸ = 1 2 and of the tire track problem (tire tracks of a bicycle, which do not allow to determine, which way the bicycle went) are given, which differ from circles. Starti ..."
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Cited by 6 (2 self)
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Explicit solutions of the twodimensional floating body problem (bodies that can float in all positions) for relative density ρ ̸ = 1 2 and of the tire track problem (tire tracks of a bicycle, which do not allow to determine, which way the bicycle went) are given, which differ from circles
Explicit solutions for relativistic acceleration and rotation
, 2005
"... The Lorentz transformations are represented by Einstein velocity addition on the ball of relativistically admissible velocities. This representation is by projective maps. The Lie algebra of this representation defines the relativistic dynamic equation. If we introduce a new dynamic variable, called ..."
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, called symmetric velocity, the above representation becomes a representation by conformal, instead of projective maps. In this variable, the relativistic dynamic equation for systems with an invariant plane, becomes a nonlinear analytic equation in one complex variable. We obtain explicit solutions
Explicit solutions for variational problems in the quadrant
, 1999
"... We study a variational problem (VP) that is related to semimartingale reflecting Brownian motions (SRBMs). Specifically, this VP appears in the large deviations analysis of the stationary distribution of SRBMs in the ddimensional orthant R d +. When d = 2, we provide an explicit analytical solution ..."
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Cited by 14 (2 self)
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solution to the VP. This solution gives an appealing characterization of the optimal path to a given point in the quadrant and also provides an explicit expression for the optimal value of the VP. For each boundary of the quadrant, we construct a “cone of boundary influence,” which determines the nature
Some explicit solutions to the Riemann–Hilbert problem
, 2005
"... Explicit solutions to the Riemann–Hilbert problem will be found realising some irreducible nonrigid local systems. The relation to isomonodromy and the sixth Painlevé equation will be described. ..."
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Cited by 8 (1 self)
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Explicit solutions to the Riemann–Hilbert problem will be found realising some irreducible nonrigid local systems. The relation to isomonodromy and the sixth Painlevé equation will be described.
Results 1  10
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14,088