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Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay. (English) Zbl 1121.49032
Summary: An exact solution is constructed to a nonlinear optimization problem in an integral dynamic model with delay. The problem involves the unknown duration of the delay and has important applications to the optimal replacement of capital equipment under technological change.

MSC:
49M30 Other numerical methods in calculus of variations (MSC2010)
49J05 Existence theories for free problems in one independent variable
49K05 Optimality conditions for free problems in one independent variable
91B62 Economic growth models
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