Different types of solvability conditions for differential operators
Date
2006-08-31
Authors
Kryzhevich, Sergey G.
Volpert, Vitaly A.
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Solvability 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.
Description
Keywords
Linear differential equations, Solvability conditions, Non-Fredholm operators
Citation
Kryzhevich, 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.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.