Different types of solvability conditions for differential operators

dc.contributor.authorKryzhevich, Sergey G.
dc.contributor.authorVolpert, Vitaly A.
dc.date.accessioned2021-07-20T13:54:48Z
dc.date.available2021-07-20T13:54:48Z
dc.date.issued2006-08-31
dc.description.abstractSolvability 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent24 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationKryzhevich, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/13973
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectLinear differential equations
dc.subjectSolvability conditions
dc.subjectNon-Fredholm operators
dc.titleDifferent types of solvability conditions for differential operators
dc.typeArticle

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