{"id":{"repo_id":"baylor","oai_identifier":"oai:baylor-ir.tdl.org:2104/12302"},"canonical_url":"https://search.dev.ndltd.org/etd/baylor/oai:baylor-ir.tdl.org:2104/12302","repository":{"repo_id":"baylor","name":"Baylor University","base_url":"https://baylor-ir.tdl.org/server/oai/request"},"display":{"title":"Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations.","abstract":"The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer's Rule, and list some quick corollaries for each variation of Peano's Theorem.","abstract_html":"The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer's Rule, and list some quick corollaries for each variation of Peano's Theorem.","abstract_has_math":false,"creators":["Ickes, Henry, 1992-"],"institution":"Baylor University.","degree_name":"Ph.D.","degree_level":"Doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":[],"advisors":["Henderson, Johnny."],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-08","date_published":"2022-08","updated_at":"2026-07-24T01:08:00Z","subjects":["Boundary value problems.","Smoothness.","Peano's Theorem."],"languages":["en"],"rights":["Baylor University works 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."],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/2104/12302","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["Henderson, Johnny."]},{"key":"dc:creator","label":"Author","values":["Ickes, Henry, 1992-"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2023-09-21T13:22:47Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2023-09-21T13:22:47Z"]},{"key":"dc:date.issued","label":"Date","values":["2022-08"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Doctoral"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Baylor University."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Boundary value problems.","Smoothness.","Peano's Theorem."]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["Baylor University works 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."]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/2104/12302"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer's Rule, and list some quick corollaries for each variation of Peano's Theorem."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations."]}]}],"canonical_facts":{"dc:contributor.advisor":["Henderson, Johnny."],"dc:creator":["Ickes, Henry, 1992-"],"dc:date.accessioned":["2023-09-21T13:22:47Z"],"dc:date.available":["2023-09-21T13:22:47Z"],"dc:date.issued":["2022-08"],"dc:description.abstract":["The goal of our paper is to establish analogues of Peano's Theorem for Dirichlet-nonlocal-Dirichlet conditions in third order ordinary differential equations. We begin by establishing the difference quotient, followed by a telescoping sum, allowing us to set up a linear system of equations in two unknowns to establish the existence of the limit as h → 0. We finish by employing Cramer's Rule, and list some quick corollaries for each variation of Peano's Theorem."],"dc:format.mimetype":["application/pdf"],"dc:identifier.uri":["https://hdl.handle.net/2104/12302"],"dc:language.iso":["en"],"dc:rights":["Baylor University works 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":["Boundary value problems.","Smoothness.","Peano's Theorem."],"dc:title":["Characterizing smoothness of solutions with respect to boundary data of Dirichlet-nonlocal-Dirichlet boundary value problems for third order ordinary differential equations."],"dc:type":["Thesis"],"thesis:degree_level":["Doctoral"],"thesis:degree_name":["Ph.D."],"thesis:institution_name":["Baylor University."]},"updated_at":"2026-07-24T01:08:00Z"}