ν, μ dichotomy and bounded solutions of differential equations

Oleksandr Boichuk; Dmytro Bihun; Oleksandr Pokutnyi;


For a $\mu, \nu$ dichotomic systems generalization of Palmer's lemma was proved. Necessary and sufficient conditions of the existence of bounded on the whole axis solutions and quasisolutions that minimize the residual norm were obtained. Index of the corresponding operator was found.

Vol. 24 (2023), No. 3, pp. 1223-1234
DOI: 10.18514/MMN.2023.3982

Download: MMN-3982