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A particular case of this situation (but probably the most important case, as it is the one that can be generalised more straightforwardly) is that in which the connection between solutions stems from the fact that the dynamic equations themselves are coupled as a result of the configuration of the system.
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The study of the two-parameter model allows us to show the connection between multiple solutions for noise-free data and solution clustering for noisy data.
Connection between these solutions and the estuarine environment was studied by geochemical tracers, such as rare earth elements (REE) and their North American Shale Composite (NASC -normalized patterNASC -normalizedios.
Ag/AgCl electrodes provided the electrical connection between the solutions and the head stage of the amplifier.
In this paper we propose a certainty equivalence principle for the stabilization of nonlinear systems via measurement feedback, which clarifies the connection between the solution of a couple of Hamilton Jacobi inequalities (HJIs) and the design constraints imposed on the control and the estimation error fed back in the control loop by the observer itself.
Others simply require a connection between a solution and a need.
They considered the connections between the solutions of a standard form and the solutions of averaged systems and proved that under some conditions the solutions of averaged systems converge to the solutions of original systems in mean square and in probability.
We explore the connection between square-integrable solutions for real-values of the spectral parameter λ and the continuous spectrum of self-adjoint ordinary differential operators with arbitrary deficiency index d.
Then we provide a connection between these generalised ("mutational") solutions and distributional solutions to the transport equation.
The main result of this section is contained in Theorem 11, where we present a connection between a (discontinuous) solution z of problem (1 - 3) and a fixed point of some operator G which operates on ordered ( p + 1 ) -tuples ( u 1, …, u p + 1 ) of absolutely continuous vector functions.
We establish a new connection between L2ρ(Rd Rd)⊗L2ρ(Rd;Rd) valued solutions of backward doubly stochastic differential equations (BDSDEs) on infinite horizon and the stationary solutions of the SPDEs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com