Maximal and minimal nondecreasing bounded solutions of iterative functional differential equations. (English) Zbl 1460.34080
Summary: In this paper, we use the method of lower and upper solutions to study the maximal and minimal nondecreasing bounded solutions of iterative functional differential equations
\[x^\prime (t) = g(t, x^{[1]} (t), x^{[2]} (t), \ldots, x^{[n]} (t)).\]
\[x^\prime (t) = g(t, x^{[1]} (t), x^{[2]} (t), \ldots, x^{[n]} (t)).\]
MSC:
| 34K12 | Growth, boundedness, comparison of solutions to functional-differential equations |
Keywords:
iterative differential equations; lower and upper solutions; maximal and minimal nondecreasing bounded solutionsReferences:
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