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Decomposable measures and nonlinear equations
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DOI：10.1016/S0165-0114(97)00171-1.png)
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摘要
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Using integrals based on +-decomposable measures with respect to a pseudo-addition + (related to a semiring ([a,b], +,.), [a,b]subset of[-infinity,+infinity]) a unified method is given for solving some nonlinear differential (ordinary and partial), difference and optimization equations. For that purpose important tools as pseudo-superposition principle and pseudo-Laplace transform are used. (C) 1997 Elsevier Science B.V.
Keyword:
pseudo-addition
pseudo-multiplication
decomposable measure
pseudo-integral
pseudo-Laplace transform
Bellman equation
Hamilton-Jacobi equation
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