Second order linear differential equations with 2-point and integral boundary conditions.

Second order linear differential equations with 2-point and integral boundary conditions.

In sophomore and junior level ordinary differential equations one studies the classical Sturm-Liouville boundary value problem, where the boundary conditions are of the separated type. It is well lmown that under very reasonable hypotheses this problem has a discrete set of non- trivial solutions f...

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Main Author: Dunne, Patrick William.
Other Authors: Comstock, C. C.
Language:en_US
Published: Monterey, California. Naval Postgraduate School 2012
Online Access:http://hdl.handle.net/10945/16787
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spelling ndltd-nps.edu-oai-calhoun.nps.edu-10945-167872014-11-27T16:11:50Z Second order linear differential equations with 2-point and integral boundary conditions. Dunne, Patrick William. Comstock, C. C. Mathematics In sophomore and junior level ordinary differential equations one studies the classical Sturm-Liouville boundary value problem, where the boundary conditions are of the separated type. It is well lmown that under very reasonable hypotheses this problem has a discrete set of non- trivial solutions f o r a discrete set of eigenvalues which are countably infinite and tend to infinity. It is the purpose of this thesis to study the question of whether similar results hold for problems when the boundary conditions are replaced by conditions of the non-separated type and also conditions where an integral is added. - In doing so, we are able to generalize some recent results of Etgen and Tefteller. 2012-11-13T23:52:34Z 2012-11-13T23:52:34Z 1973-06 Thesis http://hdl.handle.net/10945/16787 ocm640223593 en_US Monterey, California. Naval Postgraduate School
collection NDLTD
language en_US
sources NDLTD
description In sophomore and junior level ordinary differential equations one studies the classical Sturm-Liouville boundary value problem, where the boundary conditions are of the separated type. It is well lmown that under very reasonable hypotheses this problem has a discrete set of non- trivial solutions f o r a discrete set of eigenvalues which are countably infinite and tend to infinity. It is the purpose of this thesis to study the question of whether similar results hold for problems when the boundary conditions are replaced by conditions of the non-separated type and also conditions where an integral is added. - In doing so, we are able to generalize some recent results of Etgen and Tefteller.
author2 Comstock, C. C.
author_facet Comstock, C. C.
Dunne, Patrick William.
author Dunne, Patrick William.
spellingShingle Dunne, Patrick William.
Second order linear differential equations with 2-point and integral boundary conditions.
author_sort Dunne, Patrick William.
title Second order linear differential equations with 2-point and integral boundary conditions.
title_short Second order linear differential equations with 2-point and integral boundary conditions.
title_full Second order linear differential equations with 2-point and integral boundary conditions.
title_fullStr Second order linear differential equations with 2-point and integral boundary conditions.
title_full_unstemmed Second order linear differential equations with 2-point and integral boundary conditions.
title_sort second order linear differential equations with 2-point and integral boundary conditions.
publisher Monterey, California. Naval Postgraduate School
publishDate 2012
url http://hdl.handle.net/10945/16787
work_keys_str_mv AT dunnepatrickwilliam secondorderlineardifferentialequationswith2pointandintegralboundaryconditions
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