A note on bifurcation from an interval

Nonlinear Analysis, Theory, Methods and Applications

Volumn 62, Issue 4, 2005, Pages 743-749

  Ma, Ruyun ^a   Thompson, Bevan ^b  

^a NORTHWEST NORMAL UNIVERSITY   (China)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Bifurcation methods; Eigenvalues; Multiplicity results; Nodal zeros; Two point boundary value problems

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; EIGENVALUES AND EIGENFUNCTIONS; LINEARIZATION; NONLINEAR SYSTEMS; PROBLEM SOLVING; THEOREM PROVING;

BIFURCATION METHODS; MULTIPLICITY RESULTS; NODAL ZEROS; TWO-POINT BOUNDARY VALUE PROBLEMS;

BIFURCATION (MATHEMATICS);

EID: 20444449322     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.04.006     Document Type: Article

References (8)

1. H. Berestycki On some nonlinear Sturm-Liouville problems J. Differential Equations 26 3 1977 375 390
2. J. Henderson, and H. Wang Positive solutions for nonlinear eigenvalue problems J. Math. Anal. Appl. 208 1997 252 259
3. R. Ma, and B. Thompson Nodal solutions for nonlinear eigenvalue problems Nonlinear Anal. 59 2004 707 718
4. Y. Naito, and S. Tanaka On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations Nonlinear Anal. TMA 56 4 2004 919 935
5. P.H. Rabinowitz Some global results for nonlinear eigenvalue problems J. Funct. Anal. 7 1971 487 513
6. B.P. Rynne Bifurcation from zero or infinity in Sturm-Liouville problems which are not linearizable J. Math. Anal. Appl. 228 1 1998 141 156
7. B.P. Rynne Global bifurcation for 2 m th-order boundary value problems and infinitely many solutions of superlinear problems J. Differential Equations 188 2003 461 472
8. W. Walter Ordinary Differential Equations 1998 Springer New York