The estimate for number of zeros of solutions of second order functional differential equations (Q734892)
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scientific article; zbMATH DE number 5614864
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The estimate for number of zeros of solutions of second order functional differential equations |
scientific article; zbMATH DE number 5614864 |
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The estimate for number of zeros of solutions of second order functional differential equations (English)
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14 October 2009
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The author considers the following functional differential equation \[ x''+g(t,x,x_t)x'+h(t,x,x_t)=0 \] to study the number of zeros of solutions of this equation. He obtains a sufficient condition for the existence of at most one zero of solutions on an interval and also estimate the maximum number of zeros of solutions on a large interval. Two examples are provided to illustrate these results.
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number of zeros
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functional differential equations
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maximum principle
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numerical simulation
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