Abstract
In this paper, we consider a class of second order Sturm-Liouville boundary value problems with positive parameter λ on time scales. By using variational method and critical point theory, we obtain that the boundary value problem has solutions for λ being in some different intervals. Recent results in the literature are generalized and improved.
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Supported by the NNSF of China (10801065) and NSF of Gansu Province of China (0803RJZA096).
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Zhang, QG., Sun, HR. Variational approach for Sturm-Liouville boundary value problems on time scales. J. Appl. Math. Comput. 36, 219–232 (2011). https://doi.org/10.1007/s12190-010-0398-3
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DOI: https://doi.org/10.1007/s12190-010-0398-3