Nonlinear boundary value problems on time scales

Nonlinear Analysis, Theory, Methods and Applications

Volumn 44, Issue 4, 2001, Pages 527-535

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

INTEGRAL EQUATIONS; NONLINEAR EQUATIONS; PROBLEM SOLVING; SET THEORY; THEOREM PROVING;

NONLINEAR BOUNDARY VALUE PROBLEMS;

BOUNDARY VALUE PROBLEMS;

EID: 0035313847     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00290-4     Document Type: Article

References (9)

1. Agarwal R.P., Bohner M. Basic calculus on time scales and some of its applications. Results Math. 35:1999;3-22.
2. R.P. Agarwal, D. O'Regan, P.J.Y. Wong, Positive Solutions of Differential, Difference and Integral Equations, Kluwer Academic Publishers, Dordrecht, 1999.
3. B. Aulbach, S. Hilgar, Linear dynamic processes with inhomogeneous time scale, Nonlinear Dynamics and Quantum Dynamical Systems, Akademie Verlag, Berlin, 1990.
4. Erbe L.H., Peterson A. Green's functions and comparison theorems for differential equations on measure chains, Dynamics Continuous. Discrete Impulsive Systems. 6:1999;121-138.
5. L.H. Erbe, A. Peterson, Positive solutions for a nonlinear differential equation on a measure chain, Mathematical and Computer Modelling.
6. Hilgar S. Analysis on measure chains - a unified approach to continuous and discrete calculus. Results Math. 18:1990;18-56.
7. B. Kaymakcalan, V. Lakshmikantham, S. Sivasundaram, Dynamical Systems on Measure Chains, Kluwer Academic Publishers, Dordrecht, 1996.
8. J.W. Lee, D. O'Regan, Existence principles for differential equations and systems of equations, in: A. Granas, M. Frigon (Eds.), Topological Methods in Differential Equations and Inclusions, NATO ASI Series C, Vol. 472, Kluwer Academic Publishers, Dordrecht, 1995, pp. 239-289.
9. J. Munkres, Topology, Prentice-Hall, Englewood Cliffs, 1975.