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Existence results for second-order dynamic inclusion with m-point boundary value conditions on time scales. (English) Zbl 1154.34310

The authors investigate the existence of solutions of the m-point boundary problem for the second-order dynamic inclusion on a time scale 𝕋

y (t)F(y(t)),t[0,b] 𝕋 ,y (0)= i=1 m-2 a i y (ζ i ),y(b)= i=1 m-2 b i y(ζ i )·

They use a fixed point theorem of Sadovskii and a continuous selection theorem for lower semi-continuous multi-valued maps.

34A60Differential inclusions
34B10Nonlocal and multipoint boundary value problems for ODE
39A10Additive difference equations