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We note that, under the assumption that the initial data are positive, Sato [5] extended the results of Mizoguchi and Yanagida [6, 7] for power-type nonlinearity to a more general nonlinear heat equation that includes exponential-type nonlinearity.
A linear model is often too restrictive and it is useful to consider more general nonlinear model.
It is shown that the widely used undamped, viscously or nonviscously damped eigenproblem can be considered as a special case of the more general nonlinear eigenproblem.
This paper also develops Auction NonLinear&Discrete for the more general nonlinear case-a particularly simple design that solves the general multiattribute allocation problem, but requires that the auctioneer maintains prices on bundles of attribute levels.
76 (2003) 501 519], which was designed to solve a nonlinear semi-definite program representing the H2 synthesis problem, is extended to solve a more general nonlinear semi-definite program representing the fixed order H2/H∞ synthesis problem.
The presented theory goes beyond with respect to the most acknowledged LQR variational-based techniques, in that VFC can be applied to more general nonlinear dynamical systems, even with finite time horizon.
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Based on the structural characteristics of radial basis function (RBF) neural networks (NNs), a backstepping design approach is extended from stochastic strict-feedback systems to a class of more general stochastic nonlinear systems.
The analysis of the elliptic-parabolic system below also serves as a starting point for more general (and nonlinear) elliptic-parabolic systems as, for instance, appearing in lithium battery models (see [13]).
Theorem 3.1 answers positively the open problem raised by Noor [1, 2] in the setting of a more general system of generalized nonlinear mixed quasi-variational inequalities.
Rather than the common Lipschitz-type function, a more general sector-like nonlinear function is employed to characterize the nonlinearities in the networks.
For example, an -generalized hybrid mapping is nonexpansive for α = 1 and β = 0, nonspreading for α = 2 and β = 1, and hybrid for α = 3 2 and β = 1 2. Recently, Maruyama et al. [10] defined a more general class of nonlinear mappings than the class of generalized hybrid mappings.
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