Geodesic
Nonnegative solutions of a class of second order nonlinear differential equations
Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 71-82

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A differential equation of the form (q(t)k(u)u')' = λf(t)h(u)u' depending on the positive parameter λ is considered and nonnegative solutions u such that u(0) = 0, u(t) > 0 for t > 0 are studied. Some theorems about the existence, uniqueness and boundedness of solutions are given.
DOI : 10.4064/ap-57-1-71-82
Keywords: nonlinear ordinary differential equation, nonnegative solution, existence and uniqueness of solutions, bounded solution, dependence of solutions on a parameter, boundary value problem

S. Staněk 1

1 
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S. Staněk. Nonnegative solutions of a class of second order nonlinear differential equations. Annales Polonici Mathematici, Tome 57 (1992) no. 1, pp. 71-82. doi: 10.4064/ap-57-1-71-82

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