Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments
Minimal and maximal solutions to first-order differential equations with state-dependent deviated arguments
We prove some new results on existence of solutions to first-order ordinary differential equations with deviated arguments. Delay differential equations are included in our general framework, which even allows deviations to depend on the unknown solutions. Our existence results lean on new definitions of lower and upper solutions introduced in …