Bohner, Martin; Tisdell, Christopher C. Second order dynamic inclusions. (English) Zbl 1126.34313 J. Nonlinear Math. Phys. 12, Suppl. 2, 36-45 (2005). Summary: The theory of dynamic inclusions on a time scale is introduced, hence accommodating the special cases of differential inclusions and difference inclusions. Fixed point theory for set-valued upper semicontinuous maps, Green’s functions, and upper and lower solutions are used to establish existence results for solutions of second order dynamic inclusions. Cited in 8 Documents MSC: 34A60 Ordinary differential inclusions 39A10 Additive difference equations PDFBibTeX XMLCite \textit{M. Bohner} and \textit{C. C. Tisdell}, J. Nonlinear Math. Phys. 12, 36--45 (2005; Zbl 1126.34313) Full Text: DOI References: [1] Agarwal R P Meehan M O’Regan DFixed point theory and applications, Cambridge Tracts in Mathematics141, Cambridge University Press, Cambridge, 2001 [2] Agarwal R P O’Regan D Wong P J YPositive solutions of differential, difference and integral equations, Kluwer Academic Publishers, Dordrecht, 1999 [3] Bohner M Peterson ADynamic equations on time scales: an introduction with applications, Birkhäuser, Boston, 2001 · Zbl 0978.39001 [4] Bohner M Peterson AAdvances in dynamic equations on time scales, Birkhäuser, Boston, 2003 · Zbl 1025.34001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.