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

Personal Author(s):

• Parter,Seymour V.

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

Descriptors:

• (*NONLINEAR DIFFERENTIAL EQUATIONS
• *NUMERICAL INTEGRATION)
• PARTIAL DIFFERENTIAL EQUATIONS
• BOUNDARY VALUE PROBLEMS
• INTEGRAL EQUATIONS
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE