Product integral approximations of solutions to linear operator equations

Evolution System Approximations of Solutions to Closed Linear Operator Equations

ABSTRACT. With S a linearly ordered set with the least upper bound property, with g a nonincreasing real-valued function on S, and with A a densely denned dissipative linear operator, an evolution system M is developed to solve the modified Stieljes integral equation M(s, i)x = x + A((L)[sdgM(-, t)x). An affine version of this equation is also considered. Under the hypothesis that the evolufion...

SYMMETRIC TRIANGULAR AND INTERVAL APPROXIMATIONS OF FUZZY SOLUTION TO LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND

In this paper a linear Fuzzy Fredholm Integral Equation(FFIE) with arbitrary Fuzzy Function input and symmetric triangular (Fuzzy Interval) output is considered. For each variable, output is the nearest triangular fuzzy number (fuzzy interval) to the exact fuzzy solution of (FFIE).

Hermitian solutions to the system of operator equations T_iX=U_i.

In this article we consider the system of operator equations T_iX=U_i for i=1,2,...,n and give necessary and suffcient conditions for the existence of common Hermitian solutions to this system of operator equations for arbitrary operators without the closedness condition. Also we study the Moore-penrose inverse of a ncross 1 block operator matrix and. then gi...

Hypergeometric series solutions of linear operator equations

Acceptable Solutions of Linear Interval Integral Equations

I. Acceptable Solutions Let us consider an integral equation of the form 1 I k(s,t)x(t) dt = y(s) (1) o where x E X, Y E Y, k E K. We assume that X and Yare linear spaces of real functions on [0,1] and K ;s a suitable collection of real functions on [0,1]2. v, v (s) : = I k(s , t) u(t) dt o we can rewrite the equation (1) in the form Ax = y • (2) Suppose we have calculated an x E Xwith Ax ~ y, ...