Summary
The sufficient conditions for the existence and uniqueness of solution u(t) of the differential equation u″=f(t, u, u′), are established, satisfying the condition\(\mathop {\lim }\limits_{t \to 0}\) u(t)= =u0, u(t)≥0 and u′(t)≥0 for t ε (0,+∞).
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References
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G. Sansone.Ordinary Differential Equations, vol. 2 Moscow, 1954 (Russian).
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Entrata in Redazione il 26 aprile 1968.
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Kiguradse, I.T. On the non-negative non-increasing solutions of non-linear second order differential equations. Annali di Matematica 81, 169–191 (1969). https://doi.org/10.1007/BF02413502
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DOI: https://doi.org/10.1007/BF02413502