Author | Georgiev, Svetlin G. author. Author. http://id.loc.gov/vocabulary/relators/aut |
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Title | Functional Dynamic Equations on Time Scales [electronic resource] / by Svetlin G. Georgiev |
Imprint | Cham : Springer International Publishing : Imprint: Springer, 2019 |
Edition | 1st ed. 2019 |
Connect to | https://doi.org/10.1007/978-3-030-15420-2 |
Descript | X, 885 p. 14 illus. in color. online resource |
Chapter 1- Calculus on Time Scales -- Chapter 2- Dynamic Systems -- Chapter 3- Functional Dynamic Equations. Basic Concepts, Existence and Uniqueness Theorems -- Chapter 4- Linear Functional Dynamic Equations -- Chapter 5- Stability for First Order Functional Dynamic Equations -- Chapter 6- Oscillations of First Order Functional Dynamic Equations -- Chapter 7- Oscillations of Second Order Linear Functional Dynamic Equations with a Single Delay -- Chapter 8- Nonoscillations of Second Order Functional Dynamic Equations with Several Delays -- Chapter 9- Oscillations of Second Order Nonlinear Functional Dynamic Equations -- Chapter 10- Oscillations of Third Order Functional Dynamic Equations -- Chapter 11- Oscillations of Fourth Order Functional Dynamic Equations -- Chapter 12- Oscillations of Higher Order Functional Dynamic Equations -- Chapter 13- Shift Operators -- Chapter 14- Impulsive Functional Dynamic Equations -- Chapter 15- Linear Impulsive Dynamic Systems -- Appendix: Fréchet Derivatives and Gâteaux -- Appendix: Pötzsche’s Chain Rule -- Appendix: The Knaster-Tarski Fixed Point Theorem -- Appendix: Some Elementary Inequalities -- Knesser’s Theorem -- References -- Index