Existence of weak solutions of two-point boundary value problems for second-order dynamic equations on time scales. (English) Zbl 1189.34170
By using critical point theory, the authors investigate the existence of weak solutions of two-point boundary value problems for second-order dynamic equations on an arbitrary time scale \(\mathbb{T}\), which covers the case of differential dynamic systems \((\mathbb{T}=\mathbb{R})\) as well as the case of discrete dynamic systems \((\mathbb{T}=\mathbb{Z})\).
Reviewer: Pasquale Candito (Reggio Calabria)
MSC:
| 34N05 | Dynamic equations on time scales or measure chains |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 58E05 | Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces |
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