Ivan Kiguradze, Nino Partsvania

Rapidly Growing and Blow-up Solutions to Higher Order Nonlinear Delay Ordinary Differential Equations

For higher order nonlinear delay ordinary differential equations, sufficient conditions for the existence of multi-parameter sets of rapidly growing and blow-up solutions are established and the asymptotic estimates of such solutions are obtained.

Mathematics Subject Classification: 34K05, 34K12, 34K25

Key words and phrases: Higher order nonlinear delay ordinary differential equation, rapidly growing solution, blow-up solution, existence and nonexistence, asymptotic estimate