NON-LINEAR EIGENVALUE PROBLEMS FOR SOME FOURTH ORDER EQUATIONS. II. FIXED POINT METHODS.
WISCONSIN UNIV MADISON DEPT OF COMPUTER SCIENCES
Pagination or Media Count:
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
- Theoretical Mathematics