Applications of maximum principles to dynamic equations on time scales |
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| Authors: | Petr Stehlik |
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| Institution: | Department of Mathematics , University of West Bohemia , Pilsen, Czech Republic |
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| Abstract: | We apply the strong maximum principle to obtain a priori bounds and uniqueness of solutions for some initial value and boundary value problems as well as to establish oscillation results for second-order dynamic equations on time scales. Our comparison, uniqueness, and oscillation results are new and are extensions of results for ordinary differential equations to the times scale setting. |
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| Keywords: | maximum principles on time scales non-linear comparison results boundary point lemma |
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