Kryzhevich, Sergey G.Volpert, Vitaly A.2021-07-202021-07-202006-08-31Kryzhevich, S. G., & Volpert, V. A. (2006). Different types of solvability conditions for differential operators. <i>Electronic Journal of Differential Equations, 2006</i>(100), pp. 1-24.1072-6691https://hdl.handle.net/10877/13973Solvability conditions for linear differential equations are usually formulated in terms of orthogonality of the right-hand side to solutions of the homogeneous adjoint equation. However, if the corresponding operator does not satisfy the Fredholm property such solvability conditions may be not applicable. For this case, we obtain another type of solvability conditions, for ordinary differential equations on the real axis, and for elliptic problems in unbounded cylinders.Text24 pages1 file (.pdf)enAttribution 4.0 InternationalLinear differential equationsSolvability conditionsNon-Fredholm operatorsArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.