AN OPTIMAL CONDITION FOR THE UNIQUENESS OF A PERIODIC SOLUTION FOR SYSTEMS OF HIGHER ORDER LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS

作者：Kuzmych O^*; Mukhigulashvili S; Puza B

来源：Miskolc Mathematical Notes, 2010, 11(1): 63-77.

• Higher order linear functional differential system
• periodic boundary value problem
• uniqueness

Unimprovable efficient conditions are established for the unique solvability of the periodic problem
u(i)((pi))(t) = Sigma(i=1)(j=2) l(i.j)(u(j))(t) + q(i)(t) for 1 <= i <= n-1,
u(n)((pn))(t) = Sigma(n)(j=1) l(n,j)(u(j))(t) + q(n)(t),
u(j)((p))(0) = u(j)((p))(omega) for 1 <= j <= n, 0 <= p <= pj -1,
where omega > 0, n >= 2, pj epsilon N, l(ij) : C([0, omega]) -> L([0, omega]) are linear bounded operators, and qi epsilon L([0, omega]).

• 出版日期2010