1. Introduction It is well-known that the positivity of differential and difference operators in
Hilbert and Banach spaces is important in the study of various properties of boundary value …

In this article, we study the stability of the initial value problem for the delay differential
equation dv (t) dt+ Av (t)= B (t) v (t− ω)+ f (t), t≥ 0, v (t)= g (t)(− ω≤ t≤ 0) in a Banach space E …

The well-posedness of difference schemes of the initial value problem for delay differential
equations with unbounded operators acting on delay terms in an arbitrary Banach space is …

In this study, the second order differential operator A x A^x defined by the formula A xu=−
uxx (x)+ δ u (x) A^xu=-u_xx(x)+δu(x), δ≥ 0 δ≧0, with domain D (A x)= u (x): u (x), u′(x), u …

We consider the two-dimensional differential operator A u (x 1, x 2)=− a 11 (x 1, x 2) ux 1 x 1
(x 1, x 2)− a 22 (x 1, x 2) ux 2 x 2 (x 1, x 2)+ σ u (x 1, x 2) defined on functions on the half …

Fractional powers of strongly positive operators and their applications - NASA/ADS Now on home
page ads icon ads Enable full ADS view NASA/ADS Fractional powers of strongly positive …

In the present paper, the stability of difference schemes for the approximate solution of the
initial value problem for delay differential equations with unbounded operators acting on …

In the present paper, the well-posedness of the initial value problem for the delay differential
equation dv (t) dt+ A v (t)= B (t) v (t− ω)+ f (t), t≥ 0; v (t)= g (t)(− ω≤ t≤ 0) in an arbitrary …

In this study, the second order of approximation of the difference operator A hx approximates
the second order differential operator Ax defined by the formula A xu=− u xx (x)+ δu (x), δ> 0 …

The present thesis deals with strongly positive operators with nonlocal conditions and their
applications. The structure of fractional powers of positive operators in fractional spaces are …