Abstract
This chapter introduces dynamic systems on time scales and proves the basic properties of solutions of such systems so that the theory developed includes the corresponding theories of differential equations and difference equations at the same time. The approach brings out clearly the extra assumptions needed when we deal with difference equations directly. As we shall see the induction principle is employed very crucially in most of the proofs.
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© 1996 Springer Science+Business Media Dordrecht
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Lakshmikantham, V., Sivasundaram, S., Kaymakcalan, B. (1996). Chapter 2. In: Dynamic Systems on Measure Chains. Mathematics and Its Applications, vol 370. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-2449-3_2
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DOI: https://doi.org/10.1007/978-1-4757-2449-3_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4419-4760-4
Online ISBN: 978-1-4757-2449-3
eBook Packages: Springer Book Archive