An even-order three-point boundary value problem on time scales

Journal of Mathematical Analysis and Applications

Volumn 291, Issue 2, 2004, Pages 514-525

  Anderson, Douglas R ^a   Avery, Richard I ^b  

^a and Exercise Science   (United States)

^b DAKOTA STATE UNIVERSITY   (United States)

Author keywords

Boundary value problem; Cone; Delta nabla dynamic equation; Green's function

Indexed keywords

EID: 1542406463     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmaa.2003.11.013     Document Type: Article

References (11)

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2. D.R. Anderson, Eigenvalue intervals for even-order Sturm-Liouville dynamic equations, Int. J. Nonlinear Differ. Equations (2003), in press.
3. D.R. Anderson, Extension of a second-order multi-point problem to time scales, Dynam. Systems Appl. (2003), in press.
4. D.R. Anderson, J. Hoffacker, Green's function for an even-order mixed derivative problem on time scales, Dynam. Systems Appl. 12 (1-2) (2003) 9-22.
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6. R.I. Avery, D.R. Anderson, Fixed point theorem of cone expansion and compression of functional type, J. Differ. Equations Appl. 8 (2002) 1073-1083.
7. M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications, Birkhäuser, New York, 2001.
8. M. Bohner, A. Peterson (Eds.), Advances in Dynamic Equations on Time Scales, Birkhäuser, New York, 2003.
9. R. Ma, Positive solutions of a nonlinear three-point boundary-value problem, Electronic J. Differential Equations 34 (1998) 1-8.
10. R. Ma, Multiplicity of positive solutions for second-order three-point boundary-value problems, Comput. Math. Appl. 40 (2000) 193-204.
11. R. Ma, Positive solutions for second-order three-point boundary-value problems, Appl. Math. Lett. 14 (2001) 1-5.