Lower and upper estimates of semi-global and global solutions to mixed-type functional differential equations. (English) Zbl 1539.34069
Summary: In the paper, nonlinear systems of mixed-type functional differential equations are analyzed and the existence of semi-global and global solutions is proved. In proofs, the monotone iterative technique and Schauder-Tychonov fixed-point theorem are used. In addition to proving the existence of global solutions, estimates of their coordinates are derived as well. Linear variants of results are considered and the results are illustrated by selected examples.
MSC:
| 34K07 | Theoretical approximation of solutions to functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 47H10 | Fixed-point theorems |
Keywords:
mixed-type functional differential equation; delayed argument; advanced argument; semi-global solution; global solution; monotone iterative method; fixed-point theoremReferences:
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