Abstract
We show that analogues of classical concepts of the Weyl limit point and limit circle cases can be introduced and investigated for second order linear dynamic equations on time scales. Since dynamical equations on time scales unifies and extends continuous and discrete dynamical equations (i.e., differential and difference equations), in this way, we establish more general theory of the limit point and limit circle cases.
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Acknowledgments
This work was supported by the Scientific and Technological Research Council of Turkey (TUBITAK). The author thanks Elgiz Bairamov for useful discussions.
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Huseynov, A. (2012). Weyl’s Limit Point and Limit Circle for a Dynamic Systems. In: Luo, A., Machado, J., Baleanu, D. (eds) Dynamical Systems and Methods. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-0454-5_11
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DOI: https://doi.org/10.1007/978-1-4614-0454-5_11
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