Affiliation:
1. Institute of Mathematics AS CR, Žižkova 22, 616 62 Brno, Czech Republic. E-mail:
2. I. Chavchavadze State University, Faculty of physics and mathematics, 32, I. Chavchavadze Ave., Tbilisi 0179, Georgia
Abstract
Abstract
On the interval [0,ω], consider the periodic boundary value problem
where 𝑛 ≥ 2, 𝑙𝑖 : 𝐶([0,ω];𝑅) → 𝐿([0,ω];𝑅) (𝑖 = 0,…,𝑛 – 1) are linear bounded operators, 𝑞 ∈ 𝐿([0,ω];𝑅), 𝑐𝑗 ∈ 𝑅 (𝑗 = 0,…,𝑛 – 1). The effective sufficient conditions guaranteeing the unique solvability of the considered problem are established.
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