{"id":{"repo_id":"tdl","oai_identifier":"oai:tdl-ir.tdl.org:2104/9631"},"canonical_url":"https://search.dev.ndltd.org/etd/tdl/oai:tdl-ir.tdl.org:2104/9631","repository":{"repo_id":"tdl","name":"Texas Digital Library","base_url":"https://tdl-ir.tdl.org/server/oai/request"},"display":{"title":"Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.","abstract":"Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive operators with respect to a cone in conjunction with sign properties of Green's functions. Finally, initial results are established for the existence of positive solutions for singular two point boundary value problems for a fifth order nonlinear differential equation. The methods involve application of a fixed point theorem for decreasing operators.","abstract_html":"Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of u0-positive operators with respect to a cone in conjunction with sign properties of Green's functions. Finally, initial results are established for the existence of positive solutions for singular two point boundary value problems for a fifth order nonlinear differential equation. The methods involve application of a fixed point theorem for decreasing operators.","abstract_has_math":true,"creators":["Nelms, Charles F."],"institution":null,"degree_name":null,"degree_level":null,"degree_discipline":null,"degree_department":null,"school":null,"contributors":["Henderson, Johnny."],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2016,"date_issued":"2016-05","date_published":"2016-05","updated_at":"2026-07-27T21:19:11Z","subjects":["Eigenvalue.","Comparison.","Boundary values."],"languages":["en"],"rights":["Access changed 7/12/18","Worldwide access","Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. 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Finally, initial results are established for the existence of positive solutions for singular two point boundary value problems for a fifth order nonlinear differential equation. The methods involve application of a fixed point theorem for decreasing operators."]},{"key":"dc:title","label":"Title","values":["Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem."]}]}],"canonical_facts":{"dc:contributor":["Henderson, Johnny."],"dc:creator":["Nelms, Charles F."],"dc:date.accessioned":["2016-06-21T15:05:27Z","2026-02-10T23:15:49Z"],"dc:date.available":["2016-06-21T15:05:27Z"],"dc:date.issued":["2016-05"],"dc:description.abstract":["Comparison of smallest eigenvalues for certain two point boundary value problems for a fifth order linear differential equation are first obtained. The results are extended to (2n+1)-order and (3n+2)-order boundary value problems. Methods used for these results involve the theory of $u_0$-positive operators with respect to a cone in conjunction with sign properties of Green's functions. Finally, initial results are established for the existence of positive solutions for singular two point boundary value problems for a fifth order nonlinear differential equation. The methods involve application of a fixed point theorem for decreasing operators."],"dc:identifier":["https://hdl.handle.net/2104/9631"],"dc:identifier.uri":["https://hdl.handle.net/2104/9631"],"dc:language":["en"],"dc:rights":["Access changed 7/12/18","Worldwide access","Baylor University theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. Contact libraryquestions@baylor.edu for inquiries about permission."],"dc:subject":["Eigenvalue.","Comparison.","Boundary values."],"dc:title":["Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem."],"dc:type":["Thesis"]},"updated_at":"2026-07-27T21:19:11Z"}