resolvent

Observing him in these moods, I often dwelt meditatively upon the old philosophy of the Bi-Part Soul, and amused myself with the fancy of a double Dupin - the creative and the resolvent.

(i) Theorem 3.2 with Corollary 1.1 and Proposition 1.2 in [28] implies that there exists a family of operators S : [0, [infinity]) [greater than or equal to] [laplace](X) (called resolvent of (4.9)) so that a solution v [member of] V (if it exists) is represented by the formula v = d/dt S * F.

La qualification du Maroc au Mondial de Russie et sa candidature pour organiser la Coupe du monde ne resolvent pas la crise structurelle du sport.

by means of a substitution [??] = x + 0.25[a.sub.3]/[a.sub.4] is transformed into the reduced form with a cubic resolvent:

As pointed out in [13], its main ingredients are a Rayleigh-Ritz process and numerical integration of the resolvent [(zB - A).sup.-1]B.

(a) [mathematical expression not reproducible], the resolvent operator R([lambda], A(t)) is given by

For all bounded domains [OMEGA] [subset] [R.sup.d], the operator -[DELTA] has an empty essential spectrum and compact resolvent. The eigenvalues [{[[lambda].sub.n]}.sup.[infinity].sub.n=1] of -[DELTA] written in increasing order and repeated according to multiplicity satisfy

By the approach of fixed point and fractional resolvent under more general settings, the uniqueness and existence of mild solutions for functional differential equations were derived.

Raffoul, "Necessary and sufficient conditions for uniform stability of Volterra integro-dynamic equations using new resolvent equation," Analele Stiintifice ale Universitatii Ovidius Constanza.

For a bounded linear operator A [member of] L(X), let [rho](A) and D(A) stand for the resolvent and domain of A, respectively.

This leads to a differential equation for the resolvent G(z) = 1 /N<Tr[(z - M).sup.-1]> in the large N limit whose solution yields the semicircle law.