Existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms. (English) Zbl 1498.34202
Summary: In this paper, under some sufficient conditions on the nonlinearity, we established the existence of nonnegative solutions for a hybrid nonlinear differential equation with iterative terms. Our approach is based on the application of Schauder’s fixed point theorem for proving the results. Finally, an example is given to illustrate our results.
MSC:
| 34K34 | Hybrid systems of functional-differential equations |
| 34K32 | Implicit functional-differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
Schauder’s fixed point theorem; existence theorem; iterative differential equations; nonnegative solutionReferences:
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