Qualitative behavior of a class of second order nonlinear differential equations on the halfline

Volume 58 / 1993

Svatoslav Staněk Annales Polonici Mathematici 58 (1993), 65-83 DOI: 10.4064/ap-58-1-65-83


A differential equation of the form (q(t)k(u)u')' = F(t,u)u' is considered and solutions u with u(0) = 0 are studied on the halfline [0,∞). Theorems about the existence, uniqueness, boundedness and dependence of solutions on a parameter are given.


  • Svatoslav Staněk

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