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You searched for +publisher:"Oregon State University" +contributor:("Lee, John Walter"). Showing records 1 – 2 of 2 total matches.

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Oregon State University

1. Malloy, David. Boundary value problems and bifurcation theory for ordinary differential equations.

Degree: MA, Mathematics, 1979, Oregon State University

Two numerical methods are presented that can be used to solve second order nonlinear ordinary differential equations with periodic boundary conditions. One of these methods is a shooting method developed solely for the periodic problem. The other, "quasilinearization," is a method applicable to a wide variety of problems. It is presented in a quite general setting; and then is used to solve the periodic problem. Under suitable hypotheses both methods are shown to converge. Numerical results are given. Secondly, we prove bifurcation of solutions of nonlinear Sturm-Liouville problems as well as some related global results. The approach used does not use degree theory, Liaupunov- Schmidt theory, or functional analysis; but instead, elementary facts about continuous functions and differential equations. Advisors/Committee Members: Lee, John Walter (advisor).

Subjects/Keywords: Differential equations

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APA (6th Edition):

Malloy, D. (1979). Boundary value problems and bifurcation theory for ordinary differential equations. (Masters Thesis). Oregon State University. Retrieved from http://hdl.handle.net/1957/42989

Chicago Manual of Style (16th Edition):

Malloy, David. “Boundary value problems and bifurcation theory for ordinary differential equations.” 1979. Masters Thesis, Oregon State University. Accessed April 10, 2021. http://hdl.handle.net/1957/42989.

MLA Handbook (7th Edition):

Malloy, David. “Boundary value problems and bifurcation theory for ordinary differential equations.” 1979. Web. 10 Apr 2021.

Vancouver:

Malloy D. Boundary value problems and bifurcation theory for ordinary differential equations. [Internet] [Masters thesis]. Oregon State University; 1979. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/1957/42989.

Council of Science Editors:

Malloy D. Boundary value problems and bifurcation theory for ordinary differential equations. [Masters Thesis]. Oregon State University; 1979. Available from: http://hdl.handle.net/1957/42989


Oregon State University

2. O'Regan, Daniel J. Initial and boundary value problems via topological methods.

Degree: PhD, Mathematics, 1985, Oregon State University

In this thesis a relatively new topological technique, due to A. Granas, called Topological Transversality is used to obtain existence theorems for initial and boundary value problems in a variety of settings. This fixed point result is based on the notions of an essential map and on a priori bounds on solutions. Advisors/Committee Members: Lee, John Walter (advisor).

Subjects/Keywords: Topology

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

O'Regan, D. J. (1985). Initial and boundary value problems via topological methods. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/16823

Chicago Manual of Style (16th Edition):

O'Regan, Daniel J. “Initial and boundary value problems via topological methods.” 1985. Doctoral Dissertation, Oregon State University. Accessed April 10, 2021. http://hdl.handle.net/1957/16823.

MLA Handbook (7th Edition):

O'Regan, Daniel J. “Initial and boundary value problems via topological methods.” 1985. Web. 10 Apr 2021.

Vancouver:

O'Regan DJ. Initial and boundary value problems via topological methods. [Internet] [Doctoral dissertation]. Oregon State University; 1985. [cited 2021 Apr 10]. Available from: http://hdl.handle.net/1957/16823.

Council of Science Editors:

O'Regan DJ. Initial and boundary value problems via topological methods. [Doctoral Dissertation]. Oregon State University; 1985. Available from: http://hdl.handle.net/1957/16823

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