Solution curves for two classes of boundary-value problems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 9, 1996, Pages 1031-1047

  Korman, Philip ^a   Ouyang, Tiancheng ^b  

^a UNIVERSITY OF CINCINNATI   (United States)

^b BRIGHAM YOUNG UNIVERSITY   (United States)

Author keywords

Bifurcation of solutions; Multiplicity results

Indexed keywords

ALGORITHMS; BIFURCATION (MATHEMATICS); BOUNDARY VALUE PROBLEMS; DIFFERENTIATION (CALCULUS); INTEGRATION; INVERSE PROBLEMS; LINEARIZATION; NUMERICAL ANALYSIS; OPTIMIZATION; VARIATIONAL TECHNIQUES;

CONTINUATION ALGORITHMS; CONTINUOUSLY DIFFERENTIABLE MAPPING; FUNCTION THEOREM; GLOBAL SOLUTION CURVES; GRONWALL INEQUALITY; MULTIPLICITY RESULTS; PHASE PLANE ANALYSIS; SOLUTION CURVES;

NUMERICAL METHODS;

EID: 0030295997     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00108-8     Document Type: Article

References (7)

1. KORMAN P. & OUYANG T., Exact multiplicity results for two classes of boundary value problems, Diff. Integral Eqns 6, 1507-1517 (1993).
2. KORMAN P. & OUYANG T., Multiplicity results for two classes of boundary-value problems, SIAM J. math. Analysis 26, 180-189 (1995).
3. CRANDALL M. G. & RABINOWITZ P. H., Bifurcation, perturbation of simple eigenvalues and linearized stability, Archs ration. Mech. Analysis 52, 161-180 (1973).
4. SMOLLER J. & WASSERMAN A., Global bifurcation of steady-state solutions, J. diff. Eqns 39, 269-290 (1981).
5. WANG S.-H. & KAZARINOFF N. D., Bifurcation and stability of positive solutions of two-point boundary value problem, J. Aust. math. Soc. 52, 334-342 (1992).
6. WANG S.-H. & KAZARINOFF N. D., Bifurcation and steady-state solutions of a scalar reaction-diffusion equation in one space variable, J. Aust. math. Soc. 52, 343-355 (1992).
7. GARDNER R. & PELETIER L. A., The set of positive solutions of semilinear equations in large balls, Proc. R. Soc. Edinb. 104A, 53-72 (1986).