activity
20102024
most citedExistence of the solution to a nonlocal-in-time evolutional problem

3 citations · 4 across the 6 of their papers we have counts for

collaborators

6 papers

math.NA2024

Exponentially convergent method for time-fractional evolution equation

V. Vasylyk, V. L. Makarov

An exponentially convergent numerical method for solving a differential equation with a right-hand fractional Riemann-Liouville time-derivative and an unbounded operator coefficien…

math.NA2024

Numerical method for abstract Cauchy problem with nonlinear nonlocal condition

Volodymyr Makarov, Dmytro Sytnyk, Vitalii Vasylyk

Problem for the first order differential equation with an unbounded operator coefficient in Banach space and nonlinear nonlocal condition is considered. A numerical method is propo…

math.DS2014★ 3 cited

Existence of the solution to a nonlocal-in-time evolutional problem

Dmytro Sytnyk, Volodymyr Makarov, Vitalii Vasylyk

This work is devoted to the study of a nonlocal-in-time evolutional problem for the first order differential equation in Banach space. Our primary approach, although stems from the…

math.NA2013★ 1 cited

Exponentially convergent method for integral nonlocal problem for the first order differential equation with unbounded coefficient in Banach space

V. B. Vasylyk

Problem for the first order differential equation with an unbounded operator coefficient in Banach space and integral nonlocal condition is considered. An exponentially convergent…

math.NA2010

Two-points problem for an evolutional first order equation in Banach space

T. Ju. Bohonova, V. B. Vasylyk

Two-points nonlocal problem for the first order differential evolution equation with an operator coefficient in a Banach space is considered. An exponentially convergent algori…

math.NA2010

Fast convergent method for the -point problem in Banach space

Vitalii Vasylyk, Dmytro Sytnyk

The -point nonlocal problem for the first order differential equation with an operator coefficient in a Banach space is considered. An exponentially convergent algorithm is…