Periodic problem for an impulsive system of the loaded hyperbolic equations

dc.contributor.authorAssanova, Anar
dc.contributor.authorKadirbayeva, Zhazira
dc.date.accessioned2022-01-26T18:44:02Z
dc.date.available2022-01-26T18:44:02Z
dc.date.issued2018-03-15
dc.description.abstractWe consider a periodic problem for a system of the loaded hyperbolic equations with impulse effects. By introducing additional functions, this problem is reduced to an equivalent problem consisting of a family of periodic boundary-value problems of loaded ordinary differential equations with impulse effects and integral relations. We obtain sufficient conditions for the existence of unique solution to the family of periodic boundary-value problems. Conditions of unique solvability of periodic problem are established in terms of initial data.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationAssanova, A. T., & Kadirbayeva, Z. M. (2018). Periodic problem for an impulsive system of the loaded hyperbolic equations. <i>Electronic Journal of Differential Equations, 2018</i>(72), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15214
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, 2018, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSystem of loaded hyperbolic equations
dc.subjectPeriodic problem
dc.subjectImpulse effects
dc.subjectSolvability
dc.titlePeriodic problem for an impulsive system of the loaded hyperbolic equations
dc.typeArticle

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