Eigenvalue comparison theorems for certain boundary value problems and positive solutions for a fifth order singular boundary value problem.

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.

Author dc:creator

• Nelms, Charles F.

Contributors dc:contributor

• Henderson, Johnny.

• Eigenvalue.
• Comparison.
• Boundary values.

Statement dc:rights

• Access changed 7/12/18
• Worldwide access
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Language dc:language

en

Handle dc:identifier.uri

https://hdl.handle.net/2104/9631

OAI identifier oai:identifier

oai:tdl-ir.tdl.org:2104/9631