Differential inequalities and equations in Banach spaces with a cone |
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Authors: | Leopold Herrmann |
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Institution: | Czech Technical University, Institute of Technical Mathematics, Karlovo nám. 13, 121 35 Praha 2, Czech Republic |
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Abstract: | A class of second-order abstract dissipative evolution differential operators D with 0∈kerD is shown for which the fact that a non-zero t?u(t) belongs to a cone and −Du to a dual cone may hold only on time intervals whose length is less than or equal to a defined number. Then oscillatory functions are dealt with in the framework of Banach spaces with a cone and conditions for the existence of a uniform oscillatory time for solutions of the equation Du=0 are given. |
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Keywords: | 34C15 34G20 35B05 35B40 46B40 47B65 47J20 |
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