On the well-posedness of the nonlocal boundary value problem for the differential equation of elliptic type

In the present paper the abstract nonlocal boundary value problem for the second order differential equation -v′′(t)+Av(t)=f(t) (0≤t≤T),v(0)=v(T)+φ, ∫0Tv(s)ds=ψin an arbitrary Banach space E with the positive operator A is considered. The well-posedness of this problem in various Banach spaces is established. In applications, the coercive stability estimates in Hölder norms for the solutions of the mixed type nonlocal boundary value problems for elliptic equations are obtained. © 2018 Author(s).

Authors
Ashyralyev A. 1, 2, 3 , Hamad A.1, 4
Conference proceedings
Language
English
Status
Published
Number
020068
Volume
1997
Year
2018
Organizations
  • 1 Department of Mathematics, Near East University, Nicosia, TRNC, Mersin 10, Turkey
  • 2 Peoples' Friendship University of Russia, RUDN University, Moscow, Russian Federation
  • 3 Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
  • 4 Department of Mathematics, Omar Al-Mukhtar University, El-Beida, Libyan Arab Jamahiriya
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/6476/