Frequency measures on time scales with applications |
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| Authors: | Zhi-Qiang Zhu |
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| Institution: | a Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510665, PR China
b Department of Mathematics, Sun Yat-sen University, Guangzhou, Guangdong 510275, PR China |
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| Abstract: | The concept of frequency measures of subsets of a time scale is introduced and the relevant properties are discussed. Then, frequent oscillation is defined to strengthen the classical concept of oscillation. Applications are shown by deriving oscillation criteria for first-order dynamic equations on time scales. |
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| Keywords: | Time scales Frequency measures Frequent oscillation Dynamic equations |
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