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# Accession Number:

## AD0701683

# Title:

## NON-LINEAR EIGENVALUE PROBLEMS FOR SOME FOURTH ORDER EQUATIONS. II. FIXED POINT METHODS.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES

# Report Date:

## 1969-11-01

# Pagination or Media Count:

##
51.0

# Abstract:

## Fixed-point theorems are applied to obtain solutions u sub kt, theta sub kt of nonlinear fourth order ordinary differential equations of the form u double prime lambda theta H sub 1t, u, theta, theta double prime lambda u H sub 2t, u, theta. The solution u sub kt, theta sub kt is distinguished by the fact that each function u sub kt or theta sub kt has exactly k interior nodal zeros. The basic conditions implying these existence theorems is lambda sub k lambda u sub k where lambda sub k and u sub k are the eigenvalues of the linearized problems, linearized about zero and infinity respectively. Author

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#