On Oscillations of Solutions of Third-Order Dynamic Equation
We are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the adjoint transformation. Our main tool is a new...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/715981 |
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| _version_ | 1832558496359383040 |
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| author | Gro Hovhannisyan |
| author_facet | Gro Hovhannisyan |
| author_sort | Gro Hovhannisyan |
| collection | DOAJ |
| description | We are proving the new oscillation theorems for the solutions of
third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the adjoint transformation. Our main tool is a new
version of Levinson's asymptotic theorem. |
| format | Article |
| id | doaj-art-0869ff33e1644268a9c4eda8b54f4999 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0869ff33e1644268a9c4eda8b54f49992025-02-03T01:32:10ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/715981715981On Oscillations of Solutions of Third-Order Dynamic EquationGro Hovhannisyan0Department of Mathematics, Kent State University at Stark, 6000 Frank Avenue NW, Canton, OH 44720-7599, USAWe are proving the new oscillation theorems for the solutions of third-order linear nonautonomous differential equation with complex coefficients. In the case of real coefficients we derive the oscillation criterion that is invariant with respect to the adjoint transformation. Our main tool is a new version of Levinson's asymptotic theorem.http://dx.doi.org/10.1155/2012/715981 |
| spellingShingle | Gro Hovhannisyan On Oscillations of Solutions of Third-Order Dynamic Equation Abstract and Applied Analysis |
| title | On Oscillations of Solutions of Third-Order Dynamic Equation |
| title_full | On Oscillations of Solutions of Third-Order Dynamic Equation |
| title_fullStr | On Oscillations of Solutions of Third-Order Dynamic Equation |
| title_full_unstemmed | On Oscillations of Solutions of Third-Order Dynamic Equation |
| title_short | On Oscillations of Solutions of Third-Order Dynamic Equation |
| title_sort | on oscillations of solutions of third order dynamic equation |
| url | http://dx.doi.org/10.1155/2012/715981 |
| work_keys_str_mv | AT grohovhannisyan onoscillationsofsolutionsofthirdorderdynamicequation |