On the Relationship Between the Solution of a Stochastic Boundary Value Problem and Parameters in the Boundary Conditions

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Previous article Next article On the Relationship Between the Solution of a Stochastic Boundary Value Problem and Parameters in the Boundary ConditionsWilliam B. Day and William E. BoyceWilliam B. Day and William E. Boycehttps://doi.org/10.1137/0119021PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. T. Bharucha-Reid, On the theory of random equationsProc. Sympos. Appl. Math., Vol. XVI, Amer. Math. Soc., Providence, R.I., 1964, 40–69 MR0189071 0142.13603 CrossrefGoogle Scholar[2] William E. Boyce, Stochastic nonhomogeneous Sturm-Liouville problems, J. Franklin Inst., 282 (1966), 206–215 10.1016/0016-0032(66)90563-1 MR0204797 0221.34023 CrossrefISIGoogle Scholar[3] William E. Boyce, A. T. Bharucha-Reid, Random eigenvalue problemsProbabilistic Methods in Applied Mathematics, Vol. 1, Academic Press, New York, 1968, 1–73 MR0263171 Google Scholar[4] William B. Day, A monotone property of the solution of a stochastic boundary value problem, Quart. Appl. Math., 28 (1970), 411–425 MR0268979 0254.60036 CrossrefISIGoogle Scholar[5] C. W. Haines, Hierarchy methods for random vibrations of elastic strings and beams, J. Engrg. Math., 1 (1967), 293–305 10.1007/BF01540512 0153.28102 CrossrefGoogle Scholar[6] E. L. Ince, Ordinary Differential Equations, Longmans, Green, London, 1927 Google Scholar[7] Athanasios Papoulis, Probability, random variables, and stochastic processes, McGraw-Hill Book Co., New York, 1965xi+583 MR0176501 0191.46704 Google Scholar[8] Rheinhoud H. van der Linde, Eigenfunctions of random eigenvalue problems and their statistical properties, SIAM J. Appl. Math., 17 (1969), 1298–1304 10.1137/0117121 MR0256480 0188.51902 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Bibliography Cross Ref Thermoelastic wave propagation in a random medium and some related problemsInternational Journal of Engineering Science, Vol. 11, No. 9 Cross Ref Volume 19, Issue 1| 1970SIAM Journal on Applied Mathematics History Submitted:03 June 1969Published online:12 July 2006 InformationCopyright © 1970 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0119021Article page range:pp. 221-234ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics