On elliptic differential and difference problems in a Hilbert space with special type nonlocal conditions
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
The nonlocal conditions v(0) = v(2?), 2 ?? 0 v(s)ds = 0 were considered by Sobolevskii in [1] for the study of summability of Fourier series in C-norm. Such type conditions are usefull for study of several differential and difference problems with such type nonlocal conditions. In the present paper elliptic differential and difference problems, in a Hilbert space H with the positive definite operator A ? ?I, ? > 0 are investigated. The stability estimates in max norm in one variable for the solutions of these problems are established. Apprlications are presented for several elliptic differential and difference problems with such type nonlocal conditions. Keywords: Elliptic equation, positive operators, Hilbert space, stability, Sobolevskii type nonlocal conditions.
Açıklama
Anahtar Kelimeler
Elliptic equation, Positive operators, Hilbert space, Stability, Sobolevskii type nonlocal conditions
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Ashyralyev, A. ve Hamad, A. (2019). On elliptic differential and difference problems in a Hilbert space with special type nonlocal conditions. International Conference of Mathematical Sciences (ICMS 2019). s. 121.
