The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations
We obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x″+λq(t)x=0 on an infinite interval [a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/29895 |
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| _version_ | 1832551576678432768 |
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| author | Juan Pablo Pinasco |
| author_facet | Juan Pablo Pinasco |
| author_sort | Juan Pablo Pinasco |
| collection | DOAJ |
| description | We obtain the asymptotic distribution of the nonprincipal eigenvalues
associated with the singular problem x″+λq(t)x=0 on an infinite interval
[a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can
prove a Weyl-type expansion of the eigenvalue counting function, and we derive the
asymptotic behavior of the eigenvalues. |
| format | Article |
| id | doaj-art-02f8a3a51af740248aaf11204bcdbe90 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-02f8a3a51af740248aaf11204bcdbe902025-02-03T06:01:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/2989529895The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equationsJuan Pablo Pinasco0Instituto de Ciencias, Universidad Nacional de General Sarmiento, J. M. Gutierrez 1150, Los Polvorines, Buenos Aires 1613, ArgentinaWe obtain the asymptotic distribution of the nonprincipal eigenvalues associated with the singular problem x″+λq(t)x=0 on an infinite interval [a,+∞). Similar to the regular eigenvalue problem on compact intervals, we can prove a Weyl-type expansion of the eigenvalue counting function, and we derive the asymptotic behavior of the eigenvalues.http://dx.doi.org/10.1155/IJMMS/2006/29895 |
| spellingShingle | Juan Pablo Pinasco The distribution of nonprincipal eigenvalues of singular second-order linear ordinary differential equations International Journal of Mathematics and Mathematical Sciences |
| title | The distribution of nonprincipal eigenvalues of singular
second-order linear ordinary differential equations |
| title_full | The distribution of nonprincipal eigenvalues of singular
second-order linear ordinary differential equations |
| title_fullStr | The distribution of nonprincipal eigenvalues of singular
second-order linear ordinary differential equations |
| title_full_unstemmed | The distribution of nonprincipal eigenvalues of singular
second-order linear ordinary differential equations |
| title_short | The distribution of nonprincipal eigenvalues of singular
second-order linear ordinary differential equations |
| title_sort | distribution of nonprincipal eigenvalues of singular second order linear ordinary differential equations |
| url | http://dx.doi.org/10.1155/IJMMS/2006/29895 |
| work_keys_str_mv | AT juanpablopinasco thedistributionofnonprincipaleigenvaluesofsingularsecondorderlinearordinarydifferentialequations AT juanpablopinasco distributionofnonprincipaleigenvaluesofsingularsecondorderlinearordinarydifferentialequations |