| Title | EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE EQUATION $f(t,x,x',x'') = 0$ WITH FULLY NONLINEAR BOUNDARY CONDITIONS |
| Publication Type | Journal Article |
| Year of Publication | 2002 |
| Authors | Kelevedjiev P, Popivanov N |
| Journal | Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique |
| Volume | 94 |
| Pagination | 55-70 |
| ISSN | 0205-0808 |
| Keywords | barrier strips, boundary value problem, existence, nonlinear boundary conditions |
| Abstract | Existence results for two-point boundary value problems are established, the equation is not solved with respect to the high derivate, and the boundary conditions are nonlinear and full. The proofs are based on a variant of a basic theorem of Granas, Guenther and Lee. The a priori bounds needed for its application are obtained by the barrier strips technique. |
| 2000 MSC | 34B15 |
| Attachment | Size |
|---|---|
 94-055-070.pdf | 1.33 MB |