The existence of bounded solutions for differential equations in Hilbert spaces
Volume 56 / 1992
Annales Polonici Mathematici 56 (1992), 103-121
DOI: 10.4064/ap-56-2-103-121
Abstract
The existence of bounded solutions for equations x' = A(t)x + r(x,t) is proved, where the linear part is exponentially dichotomic and the nonlinear term r satisfies some weak conditions.
