EXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE EQUATION $f(t,x,x',x'') = 0$ WITH FULLY NONLINEAR BOUNDARY CONDITIONS

ЗаглавиеEXISTENCE OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THE EQUATION $f(t,x,x',x'') = 0$ WITH FULLY NONLINEAR BOUNDARY CONDITIONS
Вид публикацияJournal Article
Година на публикуване2002
АвториKelevedjiev P, Popivanov N
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том94
Pagination55-70
ISSN0205-0808
ключови думиbarrier strips, boundary value problem, existence, nonlinear boundary conditions
Резюме

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

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