Solvability of a nonlocal problem for a hyperbolic equation with integral conditions

dc.contributor.authorAssanova, Anar
dc.date.accessioned2022-06-06T19:36:38Z
dc.date.available2022-06-06T19:36:38Z
dc.date.issued2017-07-06
dc.description.abstractWe study a nonlocal problem with integral conditions for a hyperbolic equation two independent variables. By introducing additional functional parameters, we investigated the solvability and construction of approximate solutions. The original problem is reduced to an equivalent problem consisting of the Goursat problems for a hyperbolic equation with parameters and the boundary value problem with integral condition for the ordinary differential equations with respect to the parameters. Based on the algorithms for finding solutions to the equivalent problem, we propose algorithms for finding the approximate solutions, and prove their convergence. Coefficient criteria for the unique solvability of nonlocal problem with integral conditions for hyperbolic equation with mixed derivative are also established.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAssanova, A. T. (2017). Solvability of a nonlocal problem for a hyperbolic equation with integral conditions. <i>Electronic Journal of Differential Equations, 2017</i>(170), pp. 1-12.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15863
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectHyperbolic equation
dc.subjectNonlocal problem
dc.subjectIntegral condition
dc.subjectAlgorithm
dc.subjectApproximate solution
dc.titleSolvability of a nonlocal problem for a hyperbolic equation with integral conditionsen_US
dc.typeArticle

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