Existence of Solutions for One-dimensional Wave Equations with Nonlocal Conditions

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dc.contributor.authorBeilin, Sergei A.
dc.date.accessioned2020-01-08T18:39:01Z
dc.date.available2020-01-08T18:39:01Z
dc.date.issued2001-12-10
dc.description.abstractIn this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of a system of eigenfunctions and adjoint functions.
dc.description.departmentMathematics
dc.formatText
dc.format.extent8 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBeilin, S. A. (2001). Existence of solutions for one-dimensional wave equations with nonlocal conditions. <i>Electronic Journal of Differential Equations, 2001</i>(76), pp. 1-8.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9159
dc.language.isoen
dc.publisherSouthwest Texas 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, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectMixed problem
dc.subjectNon-local conditions
dc.subjectWave equation
dc.titleExistence of Solutions for One-dimensional Wave Equations with Nonlocal Conditionsen_US
dc.typeArticle

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