Displaying 121 – 140 of 191

Showing per page

Universality of the best determined terms method

Jiří Neuberg (1979)

Aplikace matematiky

The properties are studied of the best determined terms method with respect to an a priori decomposition R ( T ) . The universal approximation to the normal solution of the first kind Fredholm integral equation is found.

Well-posedness of second order degenerate differential equations in vector-valued function spaces

Shangquan Bu (2013)

Studia Mathematica

Using known results on operator-valued Fourier multipliers on vector-valued function spaces, we give necessary or sufficient conditions for the well-posedness of the second order degenerate equations (P₂): d/dt (Mu’)(t) = Au(t) + f(t) (0 ≤ t ≤ 2π) with periodic boundary conditions u(0) = u(2π), (Mu’)(0) = (Mu’)(2π), in Lebesgue-Bochner spaces L p ( , X ) , periodic Besov spaces B p , q s ( , X ) and periodic Triebel-Lizorkin spaces F p , q s ( , X ) , where A and M are closed operators in a Banach space X satisfying D(A) ⊂ D(M). Our results...

Currently displaying 121 – 140 of 191