The stable difference scheme for the approximate solution of the initial value problem du(t) dt + D 1 2 t u(t) + Au(t) = f(t), 0 < t < 1, u(0) = 0 for the differential equation in a Banach space Eâ€¦ (More)

The first and second order of accuracy stable difference schemes for the numerical solution of the mixed problem for the fractional parabolic equation are presented. Stability and almost coerciveâ€¦ (More)

In the present paper, the nonlocal boundary value problem ï£±ï£´ï£²ï£´ï£´ï£´ï£´ï£³ i du dt + Au = f (t), 0 < t < T, u(0) = p âˆ‘ m=1 Î±mu(Î»m) + Ï†, 0 < Î»1 < Î»2 < Â· Â· Â· < Î»p â‰¤ T for the SchrÃ¶dinger equation in a Hilbertâ€¦ (More)

The abstract nonlocal boundary value problem âˆ’d2u t /dt2 Au t g t , 0 < t < 1, du t /dt âˆ’ Au t f t , 1 < t < 0, u 1 u âˆ’1 Î¼ for differential equations in a Hilbert space H with the self-adjointâ€¦ (More)

*Correspondence: abzhahan@gmail.com 3Department of Mathematical Methods and Modeling, M. Auezov SKS University, Shimkent, Kazakhstan 4Institute of Mathematics and Mathematical Modeling, Almaty,â€¦ (More)

*Correspondence: aashyr@fatih.edu.tr 1Department of Mathematics, Fatih University, Buyukcekmece, Istanbul, 34500, Turkey 2ITTU, Ashgabat, Turkmenistan Full list of author information is available atâ€¦ (More)

Keywords: Elliptic equations Nonlocal boundary value problems Difference schemes Stability a b s t r a c t The well-posedness of the Bitsadzeâ€“Samarskii type nonlocal boundary value problem in HÃ¶lderâ€¦ (More)

in a Banach space E with a strongly positive operator A and with an arbitrary positive parameter Îµ. We establish the well-posedness in difference analogue of HÃ¶lder space of the high order uniformâ€¦ (More)