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By virtue of Theorems 4.10 and 5.1, we see under the conditions of Theorem 6.1 that the initial value problem (1.4) and the Volterra integral equation (1.2) are equivalent in the

iv Relation 2.13 shows that to lowest order in the perturbation, the group of energy basis matrix elements of any observable A corresponding to a fixed energy difference E m − E n

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We prove a multivariate central and local limit theorem and apply it to various statistics of random locally restricted compositions of n , such as number of parts, numbers of parts

A compact set in the phase space is said to be an inertial set inertial set inertial set inertial set (or a fractal exponential attractor) if it is positively invariant ,

Undoubtedly, Theorem 6.1 on the existence of a transversal (hyperbolic) homoclinic trajectory of the monodromy operator for the periodic perturbation of the Duffing equation is the

• Remove domestic livestock and wait 8 weeks before grazing or harvesting for forage and hay following preplant, preemergence, or pasture renovation applications. • If using spot

Kiihleitner, An omega theorem on differences of two squares, $\mathrm{I}\mathrm{I}$ , Acta