A nonlocal boundary value problem for a class of nonlinear equations of mixed type

ЗаглавиеA nonlocal boundary value problem for a class of nonlinear equations of mixed type
Вид публикацияJournal Article
Година на публикуване2008
АвториKaratopraklieva M
СписаниеAnnuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique
Том98
ключови думиnonlocal boundary value problem, Partial differential equation of mixed type, uniqueness and existence of a weak solution
Резюме

Nonlocal boundary-value problems for second order linear and nonlinear differential equations of mixed type in a bounded multidimensional cylindrical domain are considered. Uniqueness and existence of a weak solution in the linear case are established. Applying these results and Schauder's fixed point theorem existence of a weak solution in the nonlinear case is proved. A uniqueness result is also established.

2000 MSC

main 35M10, secondary 35D05

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