Eigenvalue conditions and positive solutions

Journal of Difference Equations and Applications

Volumn 6, Issue 2, 2000, Pages 165-191

  Erbe, Lynn ^a   Peterson, Allan ^a  

^a UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Measure chains

Indexed keywords

EID: 0002297188     PISSN: 10236198     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (18)

1. R. Agarwal and M. Bohner, Basic calculus on time scales and some of its applications (preprint).
2. C. Ahlbrandt and A. Peterson, Discrete Hamiltonian Systems: Difference Equations, Continued Fractions, and Riccati Equations, Kluwer Academic Publishers, Boston, 1996.
3. R. Agarwal and M. Bohner, Quadratic functionals for second order matrix equations on time scales (preprint).
4. R. Agarwal, M. Bohner and P. Wong, Sturm-Liouville eigenvalue problems on time scales (preprint).
5. B. Aulbach and S. Hilger, Linear dynamic processes with inhomogeneous time scale, in: Nonlinear Dynamics and Quantum Dynamical Systems, Akademie Verlag, Berlin, 1990.
6. W.A. Coppel, Disconjugacy, Lecture Notes in Mathematics, Springer Verlag, New York, 1971.
7. K. Deimling, Nonlinear Functional Analysis, Springer, New York, 1985.
8. L. Erbe, Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems, Mathematical and Computer Modelling (to appear).
9. L. Erbe and S. Hilger, Sturmian theory on measure chains, Differential Equations and Dynamical Systems, 1 (1993), 223-246.
10. L.H. Erbe, S. Hu and H. Wang, Mutiple positive solutions of some boundary value problems, Journal of Mathematical Analysis and Applications, 184 (1994), 640-648.
11. L.H. Erbe and A. Peterson, Green's functions and comparison theorems for differential equations on measure chains, Dynamics of Continuous, Discrete and Impulsive Systems (to appear).
12. L.H. Erbe and M. Tang, Positive radial solutions to nonlinear boundary value problems for semilinear elliptic problems, Differential Equations and Control Theory, Eds., Z. Deng et al. Marcel Dekker, New York, 1995, pp. 45-53.
13. L.H. Erbe and M. Tang, Existence and multiplicity of positive solutions to nonlinear boundary value problems, Differential Equations and Dynamical Systems, 4 (1996), 313-320.
14. S. Hilger, Analysis on measure chains - a unified approach to continuous and discrete calculus, Results in Mathematics, 18 (1990), 18-56.
15. B. Kaymakcalan, V. Laksmikantham and S. Sivasundaram, Dynamical Systems on Measure Chains, Kluwer Academic Publishers, Boston, 1996.
16. W. Kelley and A. Peterson, Difference Equations: An Introduction with Applications, Academic Press, 1991.
17. M. Krasnoselskii, Positive Solutions of Operator Equations, Noordhoff, Groningen, 1964.
18. H. Wang, On the existence of positive solutions for semilinear elliptic equtions in the annulus, Journal of Differential Equations, 109 (1994), 1-7.