Abstract
Birkhoff-irregular boundary value problems for quadratic ordinary differential pencils of the second order have been considered. The spectral parameter may appear in a boundary condition, the equation contains an abstract linear operator while the boundary conditions contain internal points of an interval and a linear functional. Isomorphism and coerciveness with a defect are proved for such problems. Two-fold completeness of root functions of corresponding spectral problems is also established. As an application of the obtained results, an initial boundary value problem for second order parabolic equations is considered, and the well-posedness
and completeness of the elementary solutions are proved. These and some other results have been published in
and completeness of the elementary solutions are proved. These and some other results have been published in
| Original language | English |
|---|---|
| Title of host publication | Equadiff 10 |
| Subtitle of host publication | Czechoslovak international conference on differential equations and their applications, Prague, August 27-31, 2001 : [Part 2] Papers |
| Editors | J. Kuben, J. Vosmanský |
| Place of Publication | Brno, Prague |
| Publisher | Masaryk University, Brno |
| Pages | 437-441 |
| Number of pages | 7 |
| Volume | [Part 2] Papers |
| ISBN (Print) | 8021028092, 9788021028098, 80-85823-46-2 |
| State | Published - 2002 |
| Event | Equadiff 10: Czechoslovak International Conference on Differential Equations and Their Applications - Prague, Czech Republic Duration: 27 Aug 2001 → 31 Aug 2001 Conference number: 10 |
Conference
| Conference | Equadiff 10: Czechoslovak International Conference on Differential Equations and Their Applications |
|---|---|
| Abbreviated title | Equadiff |
| Country/Territory | Czech Republic |
| City | Prague |
| Period | 27/08/01 → 31/08/01 |