Uniqueness for retarded delay differential equations without Lipschitz condition
Consider the equation $\dot x(t)=f(t, x(t), x(t-r(t)))$ with the initial condition $x_{0}=\phi$. Here $f$ is a continuous real function, but it does not satisfy other regularity conditions. We prove that the initial value problem has a unique solution under the following monotonicity conditions: $(x...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2008-07-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=317 |