TY - JOUR
T1 - On a novel approach for the investigation and approximation of solutions to the systems of higher order nonlinear PDEs
AU - Marynets, Vasyl
AU - Marynets, Kateryna
AU - Kohutych, Oksana
PY - 2022
Y1 - 2022
N2 - We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.
AB - We study a boundary value problem for a system of the third order semi-linear partial differential equations with nonlocal boundary conditions. We establish sufficient conditions of existence, uniqueness, regularity and sign-preserving property of solutions of the studied problem and construct an iterative method for its approximation.
KW - Comparison functions
KW - Differential inequalities
KW - Functional matrices
KW - Integro-differential equations
KW - Non-local boundary conditions
KW - Vector-functions
UR - http://www.scopus.com/inward/record.url?scp=85138161139&partnerID=8YFLogxK
U2 - 10.1007/s00605-022-01771-5
DO - 10.1007/s00605-022-01771-5
M3 - Article
AN - SCOPUS:85138161139
SN - 0026-9255
VL - 200 (2023)
SP - 835
EP - 848
JO - Monatshefte fur Mathematik
JF - Monatshefte fur Mathematik
IS - 4
ER -