On the Cauchy type problem for systems of functional differential equations |
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| Affiliation: | 1. Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, USA;2. Department of Computer Science and Mathematics, Lebanese American University, Byblos Campus, P.O. Box 36, Byblos, Lebanon;3. Department of Mathematics, Lebanese University, Faculty of Sciences II, P.O. Box 90656, Fanar-Matn, Lebanon;1. Department of Physiology, Hokkaido University School of Medicine, Sapporo 060-8638, Japan;2. Laboratory of Sensorimotor Research, National Eye Institute, National Institutes of Health, Bethesda, MD 20892, USA;1. Faculty of Mathematics and Computational Science, Xiangtan University, Hunan 411105, PR China;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Abstract: | Using theorems on functional differential inequalities, we establish new efficient conditions for the solvability as well as unique solvability of the Cauchy type problem for systems of functional differential equations in both linear and nonlinear cases. |
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