
AbstractThis paper presents necessary and sufficient conditions for an n ‐th order differential equation to have a non‐continuable solution with finite limits of its derivatives up to the order l at the right‐hand end point of the interval of its definition, l ≤ n – 2 (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
singular solutions, singular solutions of the second kind, nonoscillatory solutions, Nonlinear oscillations and coupled oscillators for ordinary differential equations, unbounded solutions, Growth and boundedness of solutions to ordinary differential equations, noncontinuable solutions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
singular solutions, singular solutions of the second kind, nonoscillatory solutions, Nonlinear oscillations and coupled oscillators for ordinary differential equations, unbounded solutions, Growth and boundedness of solutions to ordinary differential equations, noncontinuable solutions, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Asymptotic properties of solutions to ordinary differential equations, Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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