Affiliation:
1. Institute of mathematics and mathematical modeling
Abstract
A nonlocal boundary value problem for a system of
hyperbolic equations of second order with generalized integral
condition is considered. By method of introduction of functional
parameters the investigated problem is transformed to the inverse
problem for the system of hyperbolic equations with unknown
parameters and additional functional relations. Algorithms of
finding solution to the inverse problem for the system of
hyperbolic equations are constructed, and their convergence is
proved. The conditions for existence of unique solution to the
inverse problem for the system of hyperbolic equations are
obtained in the terms of initial data. The coefficient conditions
for unique solvability of nonlocal boundary value problem for the
system of hyperbolic equations with generalized integral condition
are established. The results are illustrated by numerical examples.
Subject
Geometry and Topology,Statistics and Probability,Algebra and Number Theory,Analysis
Reference30 articles.
1. {[1]} A.T.Asanova and D.S.Dzhumabaev, Unique
Solvability of the Boundary Value Problem for Systems of
Hyperbolic Equations with Data on the Characteristics,
Computational Mathematics and
Mathematical Physics, 42(2002), No 11, 1609-1621.
2. {[2]} A.T.Asanova and D.S.Dzhumabaev, Unique solvability of
nonlocal boundary value problems for systems of hyperbolic
equations, Differential Equations, 39(2003), No 10, 1414-1427.
3. {[3]} A.T.Asanova, D.S.Dzhumabaev, Well-posedness of nonlocal
boundary value problems with integral condition for the
system of hyperbolic equations, Journal of Mathematical
Analysis and Applications, 402(2013), No 1, pp.167-178.
4. {[4]} A.T.Assanova, On the solvability of a nonlocal problem for the system of Sobolev-type differential equations with integral condition,
Georgian Mathematical Journal, 28 (2021), No 1, pp. 49-57.
5. {[5]} A.T.Assanova, S.S.Kabdrakhova, Modification of the Euler Polygonal Method for Solving a Semi-periodic Boundary Value Problem for Pseudo-parabolic Equation of Special Type,
Mediterranian Journal of Mathematics, 17 (2020), No 4, Art.no. 109.
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