Dergiler / Contemporary Analysis and Applied Mathematics / 2015 / Cilt: 3 - Sayı: 2
Nonlocal boundary value problem for the third order equation of mixed type
- Sayfa
- 153–169
- DOI
- —
Özet
Bu calsmada karma tipli ucuncu dereceden denklem incelenmis ve lokal olmayan snr deger problemi calslmstr. Bu problem bilinmeyen farkl sag tarafa sahip Lavrent'ev-Bitsadze denklemi icin ters probleme indirgenmistir. Cozum biortogonal serilerin toplam ile kurulmustur. Ayrca snr degerlerine bagl olarak teklik kriteri ve cozumun kararllg elde edilmistir.
Abstract
In the present paper, we examine a third order equation of mixed type and study a nonlocal boundary value problem. This problem is reduced to an inverse problem for the Lavrent'ev-Bitsadze equation with an unknown di erent right-hand sides. A solution constructed as a sum of a biorthogonal series. Moreover, the uniqueness criterion and stability of solutions with respect to the boundary data are established.